AECL-7842

ATOMIC ENERGY » S 3 L'ENERGIE ATOMIQUEOF CANADA LIMITED V j ^ & J T DU CANADA LIMITEE

MAGNETIC FIELD MEASUREMENTS ON THE CHALK RIVERSUPERCONDUCTING CYCLOTRON

Mesure de champs magnetiquessur le cyclotron supraconducteur de Chalk River

J.H. ORMROD

Chalk River Nuclear Laboratories Laboratoires nucl6aires de Chalk River

Chalk River, Ontario

November 1982 novembre

ATOMIC ENERGY OF CANADA LIMITED

MAGNETIC FIELD MEASUREMENTS ON THE CHALK RIVER

SUPERCONDUCTING CYCLOTRON

J . H - Ormrod

Accelerator Physics BranchResearch Company

Chalk River Nuclear LaboratoriesChalk River, Ontario KOJ 1JO

November 1982

AECL-7842

L'ENERGIE ATOMIQUE DU CANADA, LIMITEE

Mesure de champs magnétiques

sur le cyclotron supraconducteur de Chalk River

par

J.H. Ormrod

Résumé

Des champs magnétiques â mi-pian ont été mesurés pourla géométrie modifiée du pôle vibrant de l'aimant du cyclotrona quarante-huit excitations avec inductions moyennes se situantdans la gamme de deux S cinq teslas. Des champs, frangeant 3mi-pian, ont été mesurés dans le cryostat et au-delà de lacarcasse à des excitations choisies. On décrit également lesmesures obtenues pour la température de la carcasse et pourl'hystérésis.

Département de physique des accélérateursSociété de recherche

Laboratoires nucléaires de Chalk RiverChalk River, Ontario KOJ U O

Novembre 1082

AECL-7 142

ATOMIC ENERGY OF CANADA LIMITED

MAGNETIC FIELD MEASUREMENTS ON THE CHALK RIVER

SUPERCONDUCTING CYCLOTRON

J.H. Ormrod

ABSTRACT

Midplane magnetic f i e l d s have been measured fo r the modi f ied

f l u t te r pole geometry of the cyclotron magnet at forty-eight excitations

with mean inductions spanning the range two to f ive tesla. Midplane

fringing f ie lds have been measured both through the cryostat and beyond the

yoke at selected excitations. Measurements of yoke temperature effects and

hysteresis are also described.

Accelerator Physics BranchResearch Company

Chalk River Nuclear LaboratoriesChalk River, Ontario KOJ 1JO

November 1982

AECL-7842

MAGNETIC FIELD MEASUREMENTS ON THE CHALK RIVER

SUPERCONDUCTING CYCLOTRON

J.H. Ormrod

Accelerator Physics BranchAtomic Energy of Canada Limited

Research CompanyChalk River Nuclear Laboratories

Chalk River, Ontario KOJ 1J0

1. Introduction

The Chalk River K=52O, 4-sector superconducting cyclotron1 is

designed to accelerate all ions from Li (to 50 MeV/u) to U (to 10

MeV/u) using a 13 MV tandem Van de Graaff as injector. To accelerate

this broad range of ions in the cyclotron requires the average midplane

induction to span the range 2.5 to 5 tesla. The variation in induction

with radius needed to achieve isochronism is obtained by adjusting the

relative excitation of the inner- and outer-coil pairs and then fine

tuning with trim rods^. Figure 1 shows the cyclotron assembled in

the temporary building where it was housed during the measurements

reported here.

The magnet has been in operation since 197S when the first mid-

plane magnetic field maps were taken*. At that time the cryostat

liquid helium boil-off rate was excessive, limiting magnet operation to

short periods, and only a few representative maps were taken. The

cryostat insulation was improved and the first full library of maps3

spanning the operating range was compiled in 1979. This library was

used (with calculated trim rod corrections superimposed) to generate

isochronous fields for several ions at different energies. Analysis cf

these fields showed that improved operation of the cyclotron could be

obtained (requiring reduced amplitude of the trim rod corrections) by

Fig. 1 Superconducting cyclotron magnet.

making relatively minor modifications to the flutter poles4. These

modifications have been made for the measurements reported here. Also,

the full complement of 104 trim rods have been installed whereas only

24 (and otherwise solid flutter poles) were in place during earlier

measurements. This report describes the results of the final set of

magnetic field measurements made before the magnet is moved to the

tandem-cyclotron building.

2. Steel Modifications

Differences between the previously measured and calculated

magnetic fields had occurred at the "knees" in the radial magnetic

field profile, i.e., where the field starts to decrease rapidly at the

outside edge and on the inside at the edge of the 300 mm diameter

central hole. Specifically, the fall-off started earlier and decreased

more slowly than calculated, and as a result, the measured fields at

both the radial inside and outside of the flutter poles were lower than

the design had predicted. The steel modifications were designed to

compensate for this by increasing the field at these radii.

Four types of changes were made to the flutter poles:

(a) steel was added to the surface of the pole parallel to the mid-

plane to reduce the midplane gap at both large and small radii

(Z-shims),

(b) steel was removed from the same surface at intermediate radii,

(c) the pole was chamfered at both the inner and outer radius, and

(d) because the space at outside radii was restricted, the azimuthal

extent of the poles was extended (e-shims) to augment the

Z-shims.

The contoured cut of (b) was also used to reduce some small i r regu la r i -

t ies in the radial f i e ld d is t r ibut ion caused by abrupt changes in taper

and spiral of the f lu t te r poles, which were a feature of the original

design to simplify manufacture.

Figure 2 is a photograph of the lower pole with the f i e l d

measuring apparatus insta l led, taken from the top of the cyclotron with

the upper pole removed. Most of the trim rods are visible - there are

five with a diameter of 60 mm and eight with a diameter of 40 mm in

each f l u t t e r pole. The inner radius Z-shims and chamfer are hidden by

the f i e ld measuring apparatus but the four outside Z-shims are clearly

v is ib le. They are 2 mm thick and each is penetrated by two tr im rods.

Their peculiar shape results from the requirement that the shins should

not par t ia l l y span a trim rod and that the thickness be uniform. They

are, however, the equivalent of a shim that increases smoothly in

thickness with radius. The outer edge of the shim along the "long

finger" follows a gentle spiral and this provides greater clearance for

the extraction channel that w i l l protrude from the cryoatat wall into

the gap between the upper and lower f lu t te r pole in one quadrant. The

shims in the other three quadrants are simi lar ly shaped to maintain

fourfold symmetry. The e-shims are visible on the concave surface of

each f l u t t e r pole, just above the sk i r t . They are 100 mm high, the

inner piece 5 mm thick, and the outer 10 mm. The outer edge of the

contoured cut (maximum depth of 1.3 mm) on the midplane surface of the

f l u t t e r poles between the inner and outer Z-shims can be seen at the

inner edge of the outer Z-shirn.

The upper half of Fig. 3 shows the azimuthally averaged changes

to the midplane surface of the f lu t te r poles. The shaded block denotes

the radial extent of the e-shims. The lower half of the figure shows

the azimuthally averaged change in induction at <B> % 5 T ( inner-coi l

current = 2300 A, outer-coil current = 1690 A) Hi.-e to the f l u t t e r pole

Fig. 2 Lower pole with the f i e ld measuring apparatus instal led. Most of

the tr im rods ire v is ible as are the f lu t te r pole shims except for

the inner Z-shins that are hidden by the f i e ld neasun ng appa-

ratus.

Fig. 3 Azimuthally averaged change to the midplane surface of the flutter poles and the resulting

induction difference. The shaded rectangle in the upper curve shows the radial extent of

the e-shims.

changes and the additional trim rod steel. Measurements reportedearlier-* were made with only 24 trim rods installed and the holes forthe remaining 80 trim rods were empty throughout the cylindrical poles(i.e., to within 420 mm from the midplane). The additional steel inthe poles introduced by the trim rods increased the induction at allradii in the region of acceleration by the order of 50 mT.

3. Centering

Centering of the poles, f i e l d measuring apparatus and coi l is

divided into three dist inct steps. F i rs t , the upper and lower poles

are positioned to co-align the f lu t te r poles. Second, the f i e l d

measuring apparatus is made coaxial with the poles. Third, the mag-

netic axis of the superconducting coil is aligned with that of the

f i e l d measuring apparatus.

A new technique was used to center the upper pole using the

inidplane f i e l d measurements. Two successive maps at <3> = 1.2 T were

taken. In the f i r s t map, two sets of four upper tr im rods, one at a

radius of 277.5 mm and the other at 537.75 mm, were retracted 20 rim.

For the second map, these rods were returned to their original

positions and their lower pole counterparts were retracted 20 mm. The

positions of the dimples created by the retracted rods gives the

"azinuthal difference" of each rod fron i t s lower counterpart, and from

these, the displacement and rotat ion of the upper pole relative to the

lower pole can be calculated. The separate measurements at the two

radi i of the relat ive position of the upper and lower poles agreed to

within 0.1 mm, which is within the required tolerance^.

The field measuring apparatus was centered in the same manneras previously described-^ by minimizing the first Fourier component ofthe field (Bj) at the three outermost flip-coil radii. In addition,the centering was verified by comparison with the radial positions ofthree sets of trim rod dimples which confirmed that the apparatus wascentered on the flutter pole assemblies to better than 0.1 mm, theradial tolerance on the trim rod holes.

For the map library compiled in 1979, the position of the coilaxis relative to that of the po1os was measured by the first harmonicvector difference of the three outermost flip-coils at two midplaneinductions, <B> = 1.2 and 3.4 T. This method requires accuratemeasurements of harmonic differences and assumes that these differencesare due only to coil displacement. When centering for this set ofmeasurements, the displacements calculated by the harmonic method werenot internally consistent and the problem was attributed at the time tosmall movements of the added outer Z-shims*. Because of thisproblem, a different method had to be used and the coil was "centered"by minimizing the force (< 1 kN @ <B> = 5 T) on the coil as measured bythe strain gauges on the radial support rods.

It was noted during accumulation of the map library that theBi amplitudes were larger than expected but this peculiarity was notresolved at the time. Subsequent analysis of the complete library,using first harmonic differences between appropriate maps at radiiremoved from the Z-shims, consistently showed that the coil was dis-placed by 0.45 mm from the center of the flutter pole assemblies. But

* These shims were secured with additional hold-down screws when theupper pole was removed after the field mapping was completed.

the calculated force constant between the coil and the poles is +12kM/mm at full field4, and assuming the geometric center of theflutter poles coincides with the magnetic center of the poles, onewould expect a dec^it.prino fr>rce of 5.4 kN as a consequence of the 0.45mm displacement WITU-N is. <«ii':n larger than the measured force of < 1kN.

An additional force on the coil can occur from the residualfirst harmonic field from the midplane holes in the yoke wall. Theinjection, extraction and probe holes produce harmonic fields that arereduced to an acceptably low magnitude in the accelerating region ofthe midplane by two compensating holes introduced for that purpose.The shapes of these compensating holes were calculated by approximatingthe octagonal yoke wall by a cylinder - an adequate approximation overthe accelerating region but less so at the coil that is nearer the yokewall. An average first harmonic of 0.6 mT at the coil is sufficient tocreate the equilibrium force condition for the 0.45 mm coil dis-placement. The consequences of this coil displacement are discussedbelow in the section on harmonic fields.

4. Yoke Temperature Effect

The saturation magnetization of steel is a function of tempera-ture; hence, the midplane induction depends on the temperature of thepoles and yoke, especially at higher excitations when more of the steelapproaches saturation. This effect was first detected towards the endof the 1979 measurements3. Then, only the midplane air temperaturewas recorded while mapping. The results displayed considerable scatterand the temperature coefficient was approximately twice the expectedvalue. The data were affected by unknown temperature gradients in theyoke and large temperature variations at the superconducting coil powersupply and the field measuring equipment beyond the flip-coilsthemselves.

10

For the measurements reported here, the temperature in thecyclotron room was varied and the entire yoke brought to a uniformtemperature for each measurement. The power supply for the super-conducting coil and the field measuring apparatus integrators, multi-plexer and voltmeter were in an adjacent room that was maintained at atemperature of 20°C.

Figure 4 shows the variation in midplane induction with temper-

ature for four magnet excitations. Each point on the four curves is

the average of the induction at five flip-coils (R = 377 to 437 mm)

over the 180 azimuthal measurements, corrected for the f l ip-coi ls '

temperature coefficients. These five f l ip-coi ls were chosen because

there is l i t t l e radial gradient in the average induction between 377

and 437 mm, thus eliminating the need to correct for the radial dis-

placement of the flip-coils caused by the large temperature coefficient

of the perspex rod that holds them.

As expected the temperature coefficient of the midplaneinduction increases monotonically with increasing midplane inductionand is summarized in the insert in the upper corner. The dashed lineat 0.26 mT/°C is the expected asymptotic limit from the publishedvalued of 0.37 mT/°C multiplied by the ratio of the midplaneinduction arising from the yoke steel to the saturation magnetization(u0Ms = 2.14 T). The measured value at 4.6 T exceeds this limit by^ 10%.

The temperature coefficients shown in Fig. 4 are significant in

terms of the energy spread of the extracted beam. Consider the case of

accelerating carbon to 50 MeV/u. If the yoke temperature changes 1°C,

AB/B changes by 6:10$, approximately an order of magnitude more than

the required field s tabi l i ty . If the resulting change in midplane

induction were not corrected, the energy spread of the extracted beam

would be twenty times worse than the theoretical minimum.

11

oI—u

0.277 mT/°C

4.631 _

4.630

4 629

4 628

3.424

3.423

3 422

2.200

2.199

2.198

1 223

1 222 h

TEMPERATURE ( ° C )

Fig. 4 The variation in midplane induction versus yoke temperature for

four magnet excitations. The results are summarized in the upper

right corner where the dashed line is the expected asymptotic

l imit .

0 232 mT/°C

0 143 mT/°C

12

In the final installation, both the cyclotron and the coilpower supply will be located in temperature controlled rooms. However,operation of the rf structure heats the liner, which in turn willaffect the temperature of the flutter poles - the steel having thegreatest effect on the midplane induction. Thermometers have beeninstalled on the flutter poles to monitor their temperature so that theresulting changes in midplane induction can be determined and cor-rected.

In compiling the map library, the cyclotron yoke temperaturewas within the range 20.5 to 22.3°C.

5. Hysteresis

The magnet does exhibit some hysteresis. The magnet wasexcited to <B> = 2.4 7 (with the inner-coil current = 850 A and theouter-coil current = 250 A ) , mapped, then excited to 4.6 T (1894 A,1758 A), discharged to 2.4 T at the previous coil currents andremapped. Figure 5 shows the charging and discharging sequence used.The azimuthally averaged induction in the second map was greater by 2mT at inner radii increasing to 2.9 mT near the pole's outer edge.This is approximately an order of magnitude greater than the reproduci-bility of the measurements. In compiling the map library, each mappingpoint was approached from a lower excitation to avoid hysteresiseffects.

6. Map Library

The main map l i b r a r y consists of 48 midplane f i e l d maps, each

made up of 7200 data po in ts from the 40 f l i p - c o i l rad ia l pos i t ions

taken a t two degree i n t e r v a l s . Figure 6 shows the inner- and outer-

c o i l exc i t a t i ons ( i n te rsec t i ons of so l i d l i n e s ) used in the 6 x 8

skewed a r ray . Lines of equal induct ion are shown dashed.

.2 .4 .6 .8 1.0 1.2 1.4 1.6 1.8 2.0INNER COIL CURRENT (kA)

Fig. 5 Charging and discharging sequence used to measure the hysteresis.

2.0

i a -

1 6

1 .4 -

1 2

1 0

.6

5 0T

3.0T

I I I 1 I 1 I I I.6 8 1.0 1 2 1 4 16 18 2 0 2 2 2 4

I N N E R C O I L CURRENT ( K A )

Fig. 6 Excitations used for the main map l ibrary . The 48 points where the sol id lines intersect

were mapped. Lines of equal induction are shown dashed.

15

Except for the six napped points nearest the 5 T line, theexcitations are quite different from the initial library compiled in1979; the region where the coil lifted from the midplane bridge hasbeen avoided and the mapped area extended towards the region of lowouter-coil currents and high inner-coil currents to enclose the exci-tations required to accelerate the lightest ions to high specificenergies.

As noted above, the yoke steel has been changed since the firstmap library was taken; all 104 trim rods are now installed (comparedwith 24 and unbored flutter poles), shims have beer, . added to theflutter poles and some steel removed from the midplane surface atintermediate radii. The maps do not include the perturbations from theextraction channel or its compensation elements because they had notthen been installed; their perturbations will be added for the detailedorbit dynamics studies. Also, neither the injection nor the extractiondipole were in place for these measurements; previous experiments haveshown that over the accelerating region they affect the induction byless than 0.2 mT.

The flip-coils were again calibrated using apparatus previouslydescribed^. The computer program used to accumulate the data was thesame as used previously except for the addition of an additional halfsecond delay between flipping the coils and scanning the integrators topermit the voltage transient to decay to less than 1:10^ of thevoltage measured-^. The results are not corrected for the temperatureof the flip-coils; this introduces a maximum relative error betweenmaps of less than 6 parts in 10^; temperature changes were negligibleat the midplane when any given map was taken.

16

The purpose of the trim rods is to isochronize the midplane

induction and their axial positions naturally affect these measure-

ments. For the maps reported here, all the rods were set at essential-

ly zero retraction; the magnitude of the departures from this zero has

a negligible effect on the avertje midplane induction but does affect

the harmonic content. There are two contributions to the departure

from the ideal .-ero retraction, the accuracy of the initial position

and the difference from that position. The difference from the initial

position is monitored by a linear potentiometer for each trim rod and

the retraction can be read with the computer. For all maps reported

here, these differences were less than the required accuracy of the

trim rod set points^ of ± 0.07 mm and for the most part less than

half of this. The initial positions of the axes of the ends of the

rods were set flush with the flutter pole surface at that radius using

a straight edge and back lighting. This method was hampered by the

contouring of the flutter pole midplane surface, especially at smaller

radii where this contouring is greatest. The estimated error in this

zero setting for the outer trim rods was ± 0.05 mm and for the inner

three sets ± 0.10 mm. As mentioned above, these errors have negligible

effect on the average midplane induction but do contribute to the har-

monic content.

Al 1 the data from the 48 maps were transferred to the mai n com-

puting facility to be used in detailed orbit dynamic studies. Tables I

through XLVIII are summaries of each map giving the average induction

and the amplitude with the phase of the first and second harmonic com-

ponents at the 40 flip-coil radii.

17

7. Fringing Fields

The fringing field at midplane height outside and normal to thecyclotron wall was measured with a Hall probe. Figure 7 shows themeasured induction for three excitations of the magnet. For the fullfield case (<B> = 5.05 T) beyond 3 m , the fringing field is given by

B = 192 R-3

where B is the induction in inT and R the distance from the cyclotron

axis in metres.

The midplane induction from the inside of the yoke wall to the

pole edge was measured by a single f l i p - co i l at 20 mm intervals along

two secants through the cryostat where i t is penetrated by the

inject ion l ine and a probe hole. The f l i p - c o i l was mounted on an

acrylic extension to a brass rod which was rotated in a stainless steel

tube that was secured to the yoke. Holes were accurately machined at

20 mm intervals along the brass rod and a tapered pin in one of these

holes fixed the position of the f l i p - co i l for each successive measure-

ment. The entire apparatus was switched between the two measuring

locations for each excitation and repositioned radial ly within + 0.5

mm. The i n i t i a l positioning of the apparatus re lat ive to the axis of

the f l u t t e r pole assembly was + 1 mm. The overall rms deviation of the

measured f ie lds for a given setup was ± 0.58 mT and ± 0.30 mT i f the

comparison were l imited to gradients less than 10 T/m.

These measurements were made at three excitat ions, namely, f u l l

f i e l d ( I i = 2260 A, I o = 1774 A), high inner current with low outer

current (1320 A, 50 A) and inner current less than outer current (1325

A, 1370 A). The la t ter excitations were chosen to span the radial

range where the f ie ld reverses sign. Figure 8 shows the results along

the probe hole where the cross-overs occur at 960 and 1109 mm.

18

m

2 4 -

2 2 -

2 0 -

1 8 -

1 6 -

10

8

< B > = 5.05 T

<B> = 4.72 T

I I I0 1 2 3 4 5 6 7

DISTANCE FROM YOKE FACE ON MIDPLANE (metres)

Fig. 7 Fringing f ield at midplane height at s = go* for three magnetexcitations. The yoke wall is 1.68 m from the cyclotron axis.

19

F1g. 8

0.6 0.7 0.8 0.9 1.0

RADIUS (metres)

Measured inductions through probe hole at three excitations. The

letters at the top of the figure correspond to: A - edge of

f lut ter pole assembly, B - inner radius of, co i l , C - outer radius

of co i l , D - inner edge of yoke wall.

20

The innermost measurements shown in Fig. 8 are within the

flutter pole gap where the induction is approximately 1 T greater than

<B>. The induction falls sharply at the pole edge (radius A) where the

field shape is determined mainly by the pole steel and then decreases

with increasing radius at a reduced rate where the field shape is most

influenced by the coil. At full field, the influence of the hole in

the yoke wall is apparent from the shoulder that appears near radius D.

The extraction channel bias coils are designed to modify these various

field shapes to direct the ion beams along a common trajectory.

The measurements have been compared with calculations and agree

within 20 mT rms4. The difference is attributable in part to the

uncertainty in the radial positioning of the apparatus and in part to

deficiencies in the uniform magnetization approximation noted

previously!"?. These latter can be at least partially "corrected"

empirically, but even without this, the adjustments available for both

injected and extracted beams are sufficient to accommodate the"differ-

ences between measured and calculated fields.

8. First and Second Harmonic Amplitudes

The first Fourier component, Bj, of the midpiane induction

derives mainly from three causes - a) small asymmetries in the poles

noted previously-^, b) errors in the positioning of the trim rods and

c) displacement of the axis of the coil from that of the poles. Figure

9 shows the measured first harmonic amplitude as a function of radius

at low and full excitation. The amplitude is well within the range of

correction with the trim rods but it is possible to reduce it con-

siderably before this correction is applied.

J

1.4

1.2

1.0

0.8

-" 0.6

0.4 I -

0.2

'OJ

<B> = 2.25 T

<B> = 5.05 T

t t t |L0.2 0.5 0.60.3 0.4

RADIUS (m)Fig. 9 First harmonic amplitude at two excitations. The arrows along the horizontal axis correspond

to the thirteen trim rod positions.

22

a) Pole Asymmetries

The contribution to the first harmonic amplitude from small

pole asymmetries was measured in the previous mapping and was every-

where less than 0.4 mT. Only three of the thirteen trim rods per

flutter pole were installed for the earlier measurements and review of

those data show a small but measurable effect from them. The shims

added since the earlier measurements are not expected to add signifi-

cantly to this "background" first harmonic.

b) Trim Rods

The trim rod locations are shown by the thirteen arrows alongthe abscissa of Fig. 9. The innermost set of rods at a radius of 172.5mm is clearly making a significant contribution to the f i rs t harmonicamplitude. The mechanical technique used to set the zero position ofthe trim rods is not quite adequate and a different method, using thef ield measuring apparatus, wi l l be used to reset the zero positionswhen the cyclotron is reassembled in the tandem-cyclotron building.This method can be explained with reference to Fig. 10, which shows theamplitude of the dimple from a 40 mm trim rod as a function ofretraction. The f i rs t derivative, or sensitivity, decreases monoton-ically with retraction and when fully withdrawn (retraction = roddiameter) is only one-fifteenth the in i t ia l sensitivity. By taking twofield maps, one with all the trim rods ful ly withdrawn and one withthem at their "mechanical zero", errors in the zero positions wil l showup as changes in the f i r s t harmonic at the radius of that set of rods.Appropriate corrections to the zero positions can then be determined byexamining the detailed azimuthal magnetic profiles at that radius.

23

600 -

550 -

I I I I4 6 12 16 20 24 28

TRIM ROD RETRACTION (mm)

Fig. 10 Response of 40 mm diameter trim rod.

32 36

24

c) Coil Displacement

The first harmonic due to the off-centeredness of the coil is a

function of the current in the inner and outer pair and is most sig-

nificant at outer radii. In Fig. 9 it accounts for the rapid increase

in 61 beyond R = 0.6 m and also for the difference between the two

curves at this radius and beyond. Figure 11 shows the calculated

gradients for the inner- and outer-coil pairs at a current of 1 kA.

These curves can be used to calculate the B\ contribution from the

0.45 mm coil displacement; for a centered coil the 8^ amplitude for

both excitations would be ^ 0.2 mT at R = 0.61 m (VR ^ 1) and ^ 0.4

mT at R = 0.65 m (extraction). When the magnet is reassembled in the

tandem-cyclotron building, it is planned to center the coil to better

than 0.1 mm using the field measuring apparatus rather than minimize

the radial force on the coil.

A first harmonic magnetic field component displaces the equi-

librium orbit center and this results in a coherent radial precession

of the beam. The displacement, d, of the equilibrium orbit center can

be approximated by

<B>(vRM)

For ions accelerated to low specific energies, V R is close to unity

(in some cases less than 1.01) and for Bj ^ 0.2 to 0.4 mT the ampli-

tude of this precessional oscillation is approximately equal to the

nominal beam width of 2 mm. It is, however, much less than the radial

stable phase space5 and because of the large energy gain per turn,

much less than the turn separation. For ions accelerated to higher

specific energies, the turn separation is decreased, but this is

accompanied by an increase in VR and consequent decrease in d so the

precessional amplitude still remains small relative to the turn sepa-

ration. Over the main accelerating region, then, the amplitude of B^

is tolerable.

450 500 550

en

600 650 700

RADIUS (mm)

Fig. 11 Air core gradients from the inner- and outer-coil pairs at a current of 1 kA.

26

First harmonic perturbations will be deliberately introduced

with the outermost trim rod set to induce orbit precession and enhance

the turn separation near the electrostatic deflector to enable the

penultimate turn to clear the septum. The amplitude of this required

perturbation is 0.5 - 1.0 ml8 and the phase is adjusted to ensure

maximum separation at the azimuth of the deflector. Figure 12 shows the

measured amplitude and phase at R = 609 mm (near VR = 1); the ampli-

tude is of the same order as the required perturbation and it would

only be fortuitous if the phase were correct for any given ion.

The final amplitude and phase of the perturbation introduced

will be determined empirically from the measured turn pattern of the

beam. When setting the initial retractions of the outermost trim rods

to give the calculated value of the perturbation (before fine tuning

using the measured turn patterns) it is trivial to eliminate the

"imperfection first harmonic" at the same time. Some adjustment of

trim rods 11 and 12 may be necessary, but as mentioned above, this is

well within the range of correction by these rods.

The second harmonic is within 10% of that previously

reported^ and well within acceptable limits. The azimuth is con-

veniently directed to reduce the larger but still acceptable second

harmonic «*pected from the extraction system.

9. IsochrcK. us Fields

Figure 13 shows the measured average midplane induction for

accelerating iodine to 10 MeV/u, the beam chosen for initial testing of

the cyclotron because of the large current available from the tandem.

Also shown are the resulting betatron frequencies calculated with a

static orbit code and the phase slip calculated with an accelerated

orbit code**. The magnet coil currents were determined by a least

27

FIRST HARMONIC AMPLITUDE & PHASEAT R = 609 mm

CQ

0.6 h

0.5

0.4

0.3

0.2

O.I

0240

CO

w 220CDLLJ

9 200

180

60I I I

DASHED LINES ARECONSTANT OUTER COILCURRENT IN AMPS

0 1 2 3 4 5

<B> (TESLA)

Fig. 12 First harmonic amplitude and phase at R = 609 mm.

28

TESLA

100 200 600 700300 400 500

RADIUS (mm)

F i g . 13 The measured average midplane induction for accelerating I 2 3 +

to 10 MeV/u and the calculated phase s l ip and betatron frequencies

using the measured f i e l d .

29

squares interpolat ive f i t wi thin the 6 x 8 array of mapped f ie lds

shown in Fig. 6, and the tr im rod retractions to isochronize the f i e l d

were calculated from their measured response curves similar to Fig.

10.

The phase history of the beams could be improved by a further

adjustment of the trim rods but the phase s l ip is already less than

the probable phase error due to uncertainties in the cal ibrat ion

constants of the f l i p -co i l s (± 0 .0H) . The r ipple in the betatron

frequencies is mainly due to the tr im rod corrections and is accepta-

bly small everywhere.

10. Acknowledgements

I thank L.F. Birney, J.H. H i l l , J.A. Hulbert and R.M. Milks

for assistance in operation, C.R. Hoffmann for the isochronous con-

ditions calculations and E.A. Heighway for helpful discussions.

30

References

1. J.H. Ormrod, C.B. Bigham, K.C. Chan, E.A. Heighway, C.R. Hoffmann,

J.A. Hulbert, H.R. Schneider and Q.A. Walker, IEEE NS-26, 2034 (1979).

See also Ninth International Conference on Cyclotrons and their

Applications, 1981, Caen, France, Les Editions de Physique, p. 159.

2. C.B. Bigham, Nucl. Inst. Methods _131, 223 (1975).

3. J.H. Ormrod, K.C. Chan and J.H. H i l l , Atomic Energy of Canada Limited,

Report AECL-7161 (1980).

4. E.A. Heighway, private communication.

5. E.A. Heighway and K.R. Chaplin, Atomic Energy of Canada l im i ted , Report

AECL-6079 (1977).

6. J . I . Budnick, L.J. Bruner, R.J. Blume and E.L. Boyd, J . Appl. Phys.

32,1205 (1961).

7. G. Bellows, D.A. Johnson, P. Mi l ler and F.G. Resmini, Nucl. Inst .

Methods JJSO, 285 (1981).

8. C.R. Hoffmann, private communication.

31

TABLE I

Reduced Data of Mapped Field

FILENAME=MP1151.JH0INNERC0IL.CURRENT~1500.000OUTERCOILCtlRRENT- 50.000

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1 B2 PHI 2MM TESLA MT DEG MT DEG

0.706 880.500 810.577 810.623 810.264 910.154 1200.128 1080.131 1000.159 1200.350 -420.493 ~390.423 -410.289 1230.275 1150.272 1150.238 1130.229 1090.277 1110.338 1110.392 1070.413 1030.399 1080.402 1170.404 1190.389 1180.422 1210.444 1230.428 1200.386 1170.370 1180.325 1180.307 1190.384 1250.444 1290.335 1250.211 1320.203 -200.286 -80.496 -160.860 -16

1>?

345678910111213141516171819202122232425262728293031323334353637383940

1351491631771912052i9233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.03843.05023.04683.04743.04453.04313.04163.04193.04213.04193.04313.04323.04523.04763.05063.05373.05733.06223.06753.07303.08103.08413.08993.09783.10483.11473.12493.13543.14673.15763.16713.17913.19063.20253.21423.22223.21883.17453.04262.8074

0.4590.3980.5520.5840.2160.1260.2110.1880.1250.1090.1910.2080.1910.3210.3730.3370.2830.2490.1810,1030.0960.1300.1760.2040.1340.0450.0400.0200.0960.1600.2030.1500.1390.1070.2030.3840.6260.7980.9801.097

7-1555837-81-84~61-2731776721-4-31222153136234

-30-45-59247150153201199193201252234158160167197222235

32

TABLE II

Reduced Data of Mapped Field

FILENAME=MP1251.JH0INNERC0ILCURRENT=1614.275OUTERCOILCURRENT= 284.275

FIRST AND SECOND HARMONIC FIELDSR BO Ed PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.662 890.442 820.533 810.588 810.263 930.163 1260.133 1170,114 1080.173 1270.388 -400.541 -380.461 -400.319 1280.302 1200.309 1190.263 1180.262 1130.292 1130.369 1140.415 1090.437 1050.440 .1100.450 1180.447 1190.464 1 '0.506 1210.522 1240.509 1210.469 1190.442 1200.407 1200.389 1220.483 1280.548 1310.444 1280.333 1340.321 -260.387 -160.641 -201.008 -18

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.32803.34103.33833.33943.33683.33553.33403.33473.33503.33503.33643.33653.33883.34123.34423.34733.35093.35573.36083.36623.37423.37683.38223.38983.39633.40563.41523.42493.43543.44543.45393.46483.47493.48513.49513.50103.49473.44713.31053.0699

0.4540.4240.5630.5860.2010.1400.2410.2290.1430.0960.1720.2010.2040.3400.4180.3680.2930.2470.1670.1020.1080.1620.2160.2160.1710.0570.0360.0390.1240.2160.2400.2050.1960.1780.2450.4310.6950.8851.0881.168

11-1525426

-74-81-59-3119716312Q

914713155-6

-30-42-58252182194226207201210243226181169171199221233

33

TABLE IIIReduced Data of Mapped F i e l d

FILENAME=MP1351.JH0INNERC0ILCURRENT=1728.575OUTERCQILCURRENT= 5 1 8 . 5 7 5

FIRST AND SECOND HARMONIC FIELDSR BO Bl F'HIlHM TESLA MT DEG

0.438 140.422 10.548 520.603 570.189 360.135 -880.215 -850.195 -620.130 -290.086 350.193 760.218 780.194 210.318 -20.408 20.354 130.303 180.236 110.139 150,077 220.094 190.129 -70.176 -340.202 -500.144 -690.069 2270.078 1910.087 1920.145 2040.236 1950.281 1910.242 1950.226 2210.243 2130.333 1800.532 1730.801 1740.981 1951.161 2161.226 227

123456789

10111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.61563.62983.62753.62913.62663.62543.62403.62503.62543.62563.62713.62733.62973.63213.63513.63823.64183.64663.65153.65673.66473.66673.67173.67913.68493.69363.70263.71153.72133.73043.73783.74763.75623.76493,77313,77683.76783.71693.57583.3298

B2MT

0.6730.4460.5230.5800.2650.1640.1450.1280.1560.3560.5220.4650.3210.3030.3220.3020.2720.3270.3990.4430.4570.4860.4970.5050.4980.5380.5850.5860.5540.5340.4930.4830.5790.6300.5330.4240.4140.4660.7301.112

PHI 2DEO

8980808091

122118105123-41J O

-41127118119117113111113109106110118120120124125123121123123124128131130-44-31-22-22-20

34

TABLE IV

Reduced Data of Mapped Field

FILENAME=MP1451.JH0INNERC0ILCURRENT=1842.85OOUTERCOILCURRENT-- 752.850

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1MM TESLA MT DE6

0.470 120.416 30.563 530.584 570.203 370.121 -890.208 -850.184 -540.128 -260.079 490.195 790.245 730.202 300.304 10.394 50.352 200.287 220.234 110.138 110.067 340.067 220.107 60.149 -330.162 -510.107 -850.103 1900.115 1660.122 1770.183 1860.279 1930.322 1850.275 1880.239 2070.254 1980.390 1690.600 1670.862 1701.053 1911.203 2121.267 221

12345678910111213141516171819202122232425262728293031323334353637383940

1351491631771912052192332472612752893033173323473623773924074224374524674824 97511525539553567581595609623637651665679693

3.89973.91483.91303.91503.91263.91153.91013.91133.91193.91213.91383.91413.91663.91903.92213.92523.92873.93343.93813.94313.95123.95263.95733.96433.96963.97773.98603.99414.00324.01154.01774.02644.03364.04054.04694.04864.03683.98273.83733.5860

B2MT

0.6870.4670.5370.5750.2870.1810.1520.1460.1780.3510.5150.4680.3480.3450.3400.3130.3170.3730.4380.4890.4970.5370.5430.5590.5600.5950.6450.6260.6220.6200.5580.5450.6560.6970.5930.5170.5100,5630.8481.236

PHI 2DEG

8880818089116115104119-43-40-42124118116116113113112109106110117118119121122121119121121124127130129134-34-25-25-22

35

TABLE V

Reduced Data of Mapped Field

FILENAME=MP1551.JHQINNERC0ILCURRENT^19S7.150QUTERCOILCURRENT== 9 8 7 . 1 5 0

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESLA MT DE<3 MT DEG

0.476 11 0.689 890.412 -5 0.442 810.544 50 0.489 800.559 53 0.554 810.185 38 0.266 900.135 267 0.173 1220.235 -85 0.160 1190.193 -59 0.125 1050.128 -36 0.186 1260.074 35 0.370 -420.182 81 0.532 -390.212 72 0.488 -420.185 22 0.355 1270.307 -1 0.347 1190.412 4 0.368 1200.375 17 0.353 1180.302 20 0.340 1150.232 8 0.392 1140.137 ~2 0.471 1150.053 10 0.521 1110.062 9 0.551 1080.116 -15 0.566 1120.168 -35 0.600 1180.196 -59 0.616 1200.139 -82 0.627 1200.092 208 0.674 1220.138 180 0.725 1230.147 190 0.733 1220.204 196 0.722 1210.301 192 0.731 1220.347 184 0.687 1230.310 187 0.702 1250.252 201 0.813 1280.273 192 0.855 1300.435 169 0.757 1290.656 168 0.677 1330.925 169 0.661 -371.085 189 0.717 -301.255 209 1.026 -291.309 218 1.426 -24

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4,17944.19534.19384.19^24.19404.19294.19164.19304.19364.19404.19594.19624.19894.20134.20434.20754.21094.21554.22004.22494.23304.23394.23824.24494.24974.25734.26484.27224.28054.28794.29314.30064.30644.31174.31644.31594.30144.24414.09443.8381

36

TABLE VI

Reduced Data of Mapped Field

FILENAME=MP1651.JHOINNERC0ILCURRENT=2071.4250UTERC0ILCURRENT=1221.425

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.675 890.453 820.513 820.565 820.273 930.204 1220.193 1200.164 1080.233 1230.427 -430.587 -410.535 -430,404 1260.404 1200.430 1210.410 1220.392 1160.449 1150.538 1150.569 1120.599 1100.646 1130.674 1190.708 1210.740 1220.794 1240.843 1240.871 1230.864 1230.864 1240.827 1250.871 1260.983 1291.051 1300.967 1300.907 1330.891 -400.925 -341.249 -311.649 -27

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.45354.47024.46904.47174.46974.46874.46734.46914.46974.47024.47234.47254.47544.47794.48094.48414.48754.49204.49644.50114.50924.50964.51364.52004.52424.53134.53824.54474.55244.55894.56304.56944.57374.57744.58034.57774.56054.50014.34634.0850

0.4860.4390.5390.5500.1680.1390.2210.1850.1300.0810.1750.2120.1920.3110.4000.3700.2820.2240.1260.0360.0580.0990.1370.1570.1240.1090.1730.1710.2360.3180.3910.3680.3080.3610.5140.7291.0201.1991.3131.371

10~3485543

266-85-59-354182792907

21231121421

-10-36-61262190170183188191180184196189170166168186203212

37

TABLE VII

Reduced Data of Mapped Field

FILENAME=MP1751.JHQINNERC0ILCURRENT=2185.725OUTt-RCOILCURRENT^1455.725

FIRST AND SECOND HARMONIC FIELDSR BO EU PHI1 B2 PHI2MM TESLA MT DEG MT DEC

0.683 880.458 SO0.499 800.561 810.266 920.211 1260.188 1220.153 1110.211 1240.430 -430.572 -410.542 -420.425 1270.420 1210.443 1220.445 1220.441 1180.490 1170.581 1170,634 1140.661 1120.719 1160.776 1210.807 1220,824 1230.913 1240.959 1250.991 1230.996 1231.008 1241.009 1251.050 1261.166 1291.233 1301.163 1301.099 1331.097 -411.156 -361.476 -331.877 -29

1

345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.72404.74134.74034.74344.74154.74054.73924.74124.74194.74264.74484.74514.74824.75064.75374.75684.76024.76474.76894.77354.78164.78164.78534.79134.79504.80164.80784.81364.82064.82624.82924,83454.83744.83954.84064.83594.81604.75264.59474.3284

0.4970.4370.5680.5810.1650.1140.1800.1840.1190.0910.1960.2230.1840.3110.4080.3720.2810.2230.1160.0410.0350.0830.1180.1380.0950.1560.2090.2100.2680.3570.4140.3760.3300.3730.5610.8041.1041.2571.3721.403

171

505742

257

-62-215383783029

22251214152ET*J

-42™oo250177165171178179174176185177162162165183199205

38

TABLE VI I I

Reduced Data of Mapped Field

Fl'LENAME-MPlSSl.JHOINNERC0n..CURRENT=2300,000(.•)IJTERCC):iLCURRENT-1690.000

X

.1.2345A789101112131415161718.1.9202122232425262728293031323334353637383940

FIRSTRMM

135.1.4916317719120521923324726.1.275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND SECONDBOTESLA

4.99185*00965.00905.01225.01055.00965.00835.01055.01145.01215.01445.01485.01805.02055,02365,02685.03025,03465.03875.04325,05135.05075,05415.05995.06315.06915,07485.07985.08605,09085,09285,09705.09845.09885,09825.09135.06895,00234,84014,5688

HARMONICBlMT

0,4710,4430.5790.5890.1890,0950.1820.. 1760.1270»1020,2130.2280,1920,3110,3970,3770.2840.2320,1160.0660.0630,0870.1120.1120.0760.1480.2090.2320,2870,3580.4390,4450,3770.4500,6460,892.1.2001.3501.4711.526

FIELDSPH:CIOEG

15

515849

261-82-57-184183813651025302.13166438

-30iJ7

2481701591671771801751.75178170.159159163180196202

B2MT

0,7220.4630.5010.5440.2680.2230.2200.1880,2580.4410.6250.5820.4650,4720.5090,5110,5070.5470,6380,6910.7380.8040,8660.9090,9491.0481.1041,1361.1331.1681.1691,2291.3391.4281.3691.3181.3271.3991.7442.157

PHI 2DEG

8882828296126122113124-44-42-44127123122123120119119116114117121122123125125125124125126127129.1.30130132-42-38-35-31

39

TABLE IX

Reduced Data of Mapped Field

FILENAME^MP2151.JH0INNERC0IlXURRENT=1320.000OUTERCQILCURRENT^ 5 0 . 0 0 0

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1MM TESLA MT DE6

1

345678910111213141516171819202122232425262728293031323334353637363940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.83522.84562.84142.84112.83782.83582.83372.83342.83272.83192.83242.83172.83292.83442.83652.83862.84122.84512.84922.85382.86062.86272.86732.87402.87982.88852.89772.90722.91742.92722.93582.94702.95782.96932.98062.98882.98612.94332.81422.5825

0.4640,3750.5630,5970.2100.1320.2030.1610.1020.0820.1810.2130.1590.2960.3440.3020.2560.2510.1750.1310.1090.1080.1410.1720.1130.0490.0600.0660.1240.2230.2510.1880.1390.1130.2320.4000.6350.7690.8931.072

81

586040-87-88-64-3531827722-4— 315252344615926-19-40-62213151142188188187192235225168162169199223239

B2MT

0.6970.4920.5640.6220.2600.1360.1300.1210.1550.3570.5020.4160.2760.2580.2730.2280.2120.2600.3280.3840.4090.4030.4060.4180.3830.4270.4650.4290.4220.4140.3310.3090.3900.4490.3410.2040.2050.2420.3870.771

PHI 2DEG

888181819211810899124-40-38-41126116117116111110111107105109118120120124125122119119121122129129127131-25-12-16

40

TABLE X

Reduced Data of Mapped F i e l d

FILENAME<*MP2251•JHQINNERC0ILCURRENT=1427,20OOUTERCOILCURRENT= 3 2 0 . 9 5 0

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESLA MT DEG

123456739101112131415161?1819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.14473.15673.15323.15353.15033.14843.14643.14633.14573.14503.14553.14493.14613.14753.14953.15153.15383.15743.16123.16543.17193.17323.17723.18333.18823.19603.20423.21263.22173.23033.23743.24723.25623.26563.27493,28053.27463.22793.09352.8558

0.4460.3580.5350.5700.2130.1140.2070.1540.1090.0840.1860.2200.1640.2770.3430.3120.2580.2080.1400.0890.0710.0870.1350.1690.1480.0810.0850.0920.1730.2680.3130.2570.2010.1850.2800.4590.7000.8581.0501.138

10*y

566042-88-89~<&3-4054867933•*"3

318272234675524

-23-50~77215156178183189183192210208168166169196221234

B2MT

0.6770.4690.5500.6010.2610.1400.1280.1120.1530.3510.4850.4080.2700.2640.2640.2350.2280.2640.3490.4010.4130.4200.4290.4470.4440.4700.5020.4830.4680.4450.3980.3790.4550.5090.4050.2950.2540.3110.5420.877

PHI 2DEG

898180808812011198121-41-39-41124115116114109111112108104109118119121123123122119120120123127130127132-30-18-23-20

41

TABLE XI

Reduced Data of Mapped F ie ld

FILENAME=MP2351.JHOINNERC0ILCURRENT=1545.250OUTERCOILCURRENT- 579 .225

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1 B2 PHI2MM TESLA MT DEO MT DEG

0.674 890.463 820,526 810.583 800.264 880.146 1190.137 1180.110 1040.177 1260.359 -410.507 -390.439 -420.307 1270.304 1190.313 1180.281 1190.263 1130.308 1130.396 1130.441 1080,463 1060.457 1100.467 1170.483 1200.482 1200.523 1230.546 1240.544 1210.522 1190.514 1210.465 1200.462 1220.537 1270.579 1280.476 1260.373 1300.331 -350.371 -240.624 -250.988 -22

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.45523.46843.46553.46633.46343.46153.45953.45973.45923.45853.45923.45863.45993.46123.46323.46503.46733.47073.47423.47803.48453.48513.48863.49423.49833.50543.51273.52013.52833.53573.54163.55003.55743.56493.57223.57533.56633.51593,37643.1328

0,0,0,0000000000000000000000000000000000011

.419

.352,521.552.192.128.227.172.098.078.188.224.162.278.370.331.250.207,113.070,063.089.138.161.133.090.115.128.195.311.348.295.227.234.346.544.794.971.144.200

8—3545944263269-69-4555898431— **>42128202657585

-31-54-86198175180189191183186205197173170170195217229

42

TABLE XII

Reduced Data of Mapped Field

FILENAME-MP2451.JHO:I:NNERCO:I:LCURRENT™:I.673.575OU)ERCO1LCURRENT= 8 3 0 , 4 2 5

X

1'7

3456789101112131415161718192021. . - , »•,

232425262728293031323334353637383940

FIRSTRMM

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND SECONDBO

TESLA

3,76853,78283,78043,78163,77903,77723,77523,77573,77533<77483,77573,77503,77663,77793,77993,78173,78403.78733,79043,79423,80073,80063,80383,80903,81253.81903,82563,83213,83953,84593.85073,85783.86373,86943,87473,87553,86353,80953,66503,4156

HARMONIC FIELBlMT

0,4450,3980,5790.5960.. 1730,1350,2110.1860,1110.0740.1770,2320,1660,2810,3560,3280,2550.2000.1000,0500,0140,0660,1440,1500.1290,1280,1.500,1530,2370,3110,3860.3490,2950,2930,4170.6040,8771,0301,1731,215

.USPHI1BEG

15.1.

555846

263269-70-3059928229— 1

4212619326525

-19-50-61266195178183197193188191208200174168171192213223

B2MT

0,6830,4410,5270.'5880,2850,1840,1540.1420,1880,3690,5320,48.1.0,3610.3390,3620,3110,3190.3590,4380.4870,5030,5400.5560.5630.5680.6080.6600,6600,6380,6270.5870.6070,6740,6980,5920.4940,4820.5190,7801,148

PHI 2BEG

8981808192

12?116109119-43-40-4312.511.81.20.1.1911511.41131111081131201211211231241231211221231251281281271.31-37-28-28-23

43

TABLE XIII

Reduced Data of Mapped F i e l d

I-ILENAME"MP2551 . JHOINNERC0ILCURRE.NT = 181 I ,850o u T E R c o :i: i.. c u R R E N T=:i. o ? 3, A 2 5

FIRSTX R

MM

AND

.1.•;>

34567/

89

1011I 213141516171819202100

232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

SECONDBO

TESLA

4. OS 1.84,09714.09524,09694,09434,09274,09074,09164,09144,09114,09224,09164,09344,09494,09694,09894,10114,10454,10764.11124,11794,11744,12034,12524,12834,13434,14034,14614.15294,15864,16224.16824,17264,17664.18014,17874.16374.10633.95713.7020

HARMONICB:l.MT

FIELDSPHI 1DEG

0,4610 , 4120,5670,5920.1800,1290,2010,1660,1030,0670.1950,2290, 1 780,2840,3740,3510,2780,2020,1220.0760.0660,0700,1120.1200.0740,1210,1640,1740.2520,3350,3900,3630.2820,3110,4670.6750,9481.1031.223

174

546044

259269-65-266290843746

25302134805420

•"32

-47251180164177185182179180193187169167168189208218

B2MT

0,6450,4630,5000,5790,2610,1890,1730,1460,2010,3840,5490.4950,3770,3640.39:1.0.3780.3540,3900.4860.5250.5630.5830.6250.6370.6430.6910.7440.7470.7310.7270.7160.7310.8150.8670,7630.6730.6510.6860.9561.350

PHI 2DEG

8882818191126122112124•43-4:1.-43126120121:l 2111 7116116113110114119121121123124123122123124125128130129132-39-32-30.... ••;> • - :

44

• I : .

TABLE XIV

Reduced Data of Mapped Field

2AS1 ,JH0:i: N N E R c o :i: i... c t J R R E N T =--19 s 9 . 4 2 50UTERC01LCURREWT=.l306.(:H)0

FIRST AND SECOND HARMONIC FIELDSR BO B.I. PH.T.1MM TESI...A MT DEG

4,39194,40804,40654.40874.40634,40494.40304.40434.40434.40424.40564.40524.40734.40904.4.1.124.41344.41584,41934.42254.42624,43314,43234,43504,44004,44284,44854,45404,45934,46554.47064.47334.47844.48144.48394.48584.48224.46454.40374,24993.9893

1••;>

34567891011121.31.41.5161718192021/•,/-)

232425262728293031323334353637383940

135149163177191?0521923324726127528930331.7332347362377392407422437452467482497511525539553567581595609623637651665679693

0,4730,4180,5380.5520,1620,1250,2140,2010,1340*0780,1740.2150.1920.3120.4080.3750.2860,2120.1020.0290.0490,0970.1440.1460.1130.1310,1750,1870.2640,3760,4130.4070.3140,3500.5100.72S0.9981.1741.3131.342

1.30

515843

267-83__eroJo-303884752336

2222869

25-10-37

256185170182185184178179190185167165168187204213

B2MT

0,6550.4550.5070,5430.2720,2230.2040.1690,2220.4130,5700,5320,4000.4050,4090,4260,3830.4480,5290.5870.61.40.6570.6940,7190,7460,8080,8700,9000,8790.8980,8660.9090.9981.0450.9470.8750.8680,8901,225.1.592

PHI 2DEG

898.1.828192123119110124-44-40-431271211.2212111811811 711.311211512012.1.1221.231241.23122123124126128129.1.291.33-40

-28

45

TABLE XV

Reduced Data of Mapped F ie ld

I-11. E N A M E -•= M P 2 7 5 :U J H 0i N N e: R c o :i: L C U R R E N T - 2115,32sC) U T E R C 011... C U R R E N T = 1 5 2 7 . 0 2 5

X

1

345678910111213141516171819202122232425262728293031323334353637383940

FIRSTRMM

1351491631771912052.1.9233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND BECONUBO

TESLA

4.69684,71374.71264.71534,71334,71204.71034,71204.71224,71254.71434,71424,71674,71864,72114,72364,72634,730.14,73334.73734,74464,74364.74654.75154.75414.75984.76504,76994,77584.78044.78244,78674.78864.78984,79004,78454,76414.70024.54204•2759

HARMON TO F"inMT

0,4690,4370,5690,5790.1920,1100,1900,1680,1350,0960, 2060,2380,2030.3100,4050,3830,3060,2080 , 1110,0600,0690,0670 , 1070,1030.0810,1620,2300,2520,2950,3850.4390.4320.3540.4040.5970.8351.1281.2761.3631.370

I ELDSPH11DEO

130

515749

258-88-53-185286793761327332127596022-30-67230165159162170175172170173171159160162180196204

B2MT

0,6800,4380.4870,5360,2620.2.110,1930.1540,2350,4300,6080,5630,4290,4260,4420,4510,4500.4880,6020,6350,6780,7220.7760.8340,8590,9391.0011.0221.0311,0431,0221.0871.1581.2161,1321,0751.0821,1391.4591.855

PHI;.DEO

9982838295127122113125-43-40-42127•j ;>2

1231231201181181151131161201 2?12 2124125124123124125.1.26128129129132-42-37-34-30

46

TABLE XVI

Reduced Data of Mapped Field

F:I:LENAME™MP2851 , JHO:I: N N E R c o :i: i... c t J R R E N T - 2 2 8 O . O O OC)UTERC0.i:LCURRENT™:!.732. OOO

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESI...A MT DEG MT DEG

0,711 880.469 810,519 810..551 810.262 940.244 1220.221 1180.195 1120.247 1230.452 -440.632 -420.587 1340.457 1250.490 1210.510 1220.508 1220.508 1190.562 1170.646 1170.714 1150.757 1140,806 1160.877 1210.921 1220.958 1231.045 1251.112 1251.149 1241.159 1241.177 1251.197 1261.216 1271.356 1291,432 1301.357 1301.318 1321.367 -431.426 -391.763 -362.168 -31

123456789101.1.12131415161718192025.22n~t,v.. %.>242526272829303132333435363?383940

1351491631771912052.1.923324726127528930331733234736237739240742>2437452467482497511525539553567581595609623637651665679693

4.99835.01605.01535.01855.01665.01565,01425.01635,01715,0.1.765.01985.02005.02305.02535,02825.03115.03425.03845.04225,04645.05415.05325,05625,06165.06445.07005,07535.07995.08565.09005,09155,09525.09625.09625.09525.08785,06504,99804.83564.5640

0.4880,4440,5910,6050,1710,1030,1770,1750,1080.1020.1920,2290,1920,3070.4000.3900,2970,2370,1310.0700.0470 , 0720.1080.1100.0970.1860.2450,2520,3090.3840.4430.4510.3880.4340.6480,8961.2041,3421.4461 .505

202

515948

248-86-56-164886823249

2228203065357

-41-65226171162168173176174171177171158158162179195201

47

TABLE XVII

Reduced Data of Mapped Field

FILENAME^MP3151.JH0INNERC0ILCURRENT=1140.000OUTERCOILCURRENT- 50.000

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.696 880.496 800.596 800.634 810.280 900.129 1140,120 1000.120 930.137 1250.330 "390.487 -370.385 -400.255 1240.248 1130.241 1150.207 1140.174 1080.213 1070.296 1090.349 1060.362 1040.357 1110.384 1210.367 1210.358 1220.385 1250.414 1250.399 1220.383 1200.390 1220.335 1210.290 1210.381 1260.409 1270*313 1220.178 1250.148 --260.170 -70.261 -130.664 -20

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.62962.63852.63342.63232.62852.62602.62332.62232.62082.61942.61912.61782.61812.61872.62012.62122.62282.62582.62892.63252.63822.63942.64302.64852.65322.66082.66912.67762.68682.69552.70342.71382.72432.73532.74652.75492.75332.71212.58592.3579

0,0,00000000000000000000000000000000000001

,402.353.572.600.189.100.177.119.057.083. 203.226.130.241.310.267.231.221.170.119.105.078.097.133.106.094.128.125.178.267.290.218.132.121.209.383.637.751.886.044

134626557246263-76-472928840

122373553889057-26-57265183152151182187181181217224170163168200225243

48

TABLE XVI I I

Reduced Data o f Mapped F i e l d

FILENAME>MP3251.JHOINNERCOILCURRENT=1238.375OUTERCOILCURRENT= 3 5 1 . 2 0 0

FIRST AND SECOND HARMONIC FIELDSR BO B l F 'HI lMM TESLA MT DEG

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.95342.96412.95982.95932.95572.95322.95052.94962.94832.94682.94652.94502.94532.94572.94672.94762.94882.95132.95382.95672.96192.96202.96472.96932.97282.97922.98612.99323.00103.00823.01433.02293.03123.03993.04863.05413.04883.00322.87122.6366

0.4290.3520.5500.5840.1850.1270.2030.1360.0650.0650.1800.2120.1300.2460.3030.2550.2180.1960.1380.1060.0830.0660,0830.1230.1380.1180.1310.1340.1900.3070.3330,2690.1700.1730.2770.4550.6860.8000.9221.075

130

606250

260260-73-42789087370

-119383353919144

-35-61260194153160181184182178211212170165169196221238

B2Ml

0.7000.4760.5530.6020.2430.1440.1120.1000.1480.3640.4940.4200.2710.2790.2560.2240.2080.2560.3430.3910.4110.4190.4370.4260.4350.4810.5100.4980.4760.4750.4140.3800.4590.4910.3890,2700.2370.2570.4070.778

PHI 2DEG

8881818090120110102127-38-38-40126117116116111111112107105111119121121124124121120122123124126128124128-34-21-24-23

49

TABLE XIX

Reduced Data of Mapped Field

FILENAME=MP3351,JH0INNERCQILCURRENT=1356.650OUTERCOILCURRENT= 637.050

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1 B2 PHI2MM TESLA MT DE6 MT l»EG

0.688 880.449 810.530 810.574 810.258 900.151 1230.118 1170.116 1050.150 1270.370 -390.522 -380.450 -400.292 1270.292 1190.302 1200.279 1210.263 1160.306 1140.368 1140.432 1090.451 1080.452 1120.474 1190.501 1210.504 1210.540 1240.569 1240.561 1220.550 1190.531 1220.493 1220.487 1240.566 1280,607 1290.479 1270.374 1300.339 -380.351 -260.590 -280.904 -24

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3,28583.29793.29433.29433.29083.28833.28563.28503.28373.28223.28203.28043.28073.28103.28193.28253.28353.28563.28763.29013.29503.29423.29613.30003.30253.30793.31373.31953.32623.33203.33653.34353.34973.35623.36263.36533.35653.30683.16912.9281

0000000000000000000000000000000000000011

.422

.336

.549

.587

.172

.127

.192

.141

.054

.082

.212

.235

.146

.236

.317

.280

.237

.189

.123

.106

.076

.052

.095

.113

.104

.129

.179

.177

.245

.342

.398

.321

.222

.258

.341

.544

.787

.902

.031

.122

142

616449

255263-79

\JxJ

8699924404

24403458949736-41™oo256188163161178179178178198196174167169194217232

50

TABLE XX

Reduced Data of Mapped Fie ld

FII...ENAMI::>MP345!.JH0INN E R C 011... C I. J R R E N T=:l 4 9 7 , 9 0 0OlJTERCO:i:i...(::UK'RENT"-- 909 • 100

X

12345678910:l. :l.:l. 213141516.1.718192021?2232425262728293031323334353637383940

FIRSTRMM

13514916317719120S219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND SECONDBO

TE8LA

3.63033.64373.64073.64133.63793.63563.63293.63263.63143.63013.63003.62853.62903.62933.630.1.3.63073.63163,63353.63533.63753.64243.64093.64243.64583.64763.65233.65723.66203.66773.67253,67573,68123,68573,69023,69443.69453.68223,62853.48523,2378

HARMONIC FT El..61MT

0.4540 < 3620,5380,5850,1750,1310,2040.1530,0630.0520.2080.2160,1260,2350,3050,2770,2270,1660,0880,0810,0700,0130,0820,1.070.1320.1720,2140.2240.3090.4040,4530.4290.3200,3350,4410.6400.8721,0231,1321.168

..OSPHI 1DEG

141

586250

251262-74-358699904134

22363157

.1.0811758

--86239188169175185185179.1.78191195173167.1.681912.1.3225

B2MI

0.6810.4690,5230,5820,2760,159 .0,1440,1290.1720.3580,5090.4440.3210,3250.3320.3050.2950.3380.4190.4740.4850.5140.5390.5530,5780,6230,6670.6660.6300.6230.6050.6150.6830.7110.5880.4790,4420,4630,7151,056

PHI 2DEG

8981818191120116104122-42-39-4212411811911811.511411411010811211912112.1.124125122120122122.1.24128128127130-39-30-30••••25

51

TABLE XXI

Reduced Data of Mapped F ie l d

I : :ILENAME=MP3551.JHO

OUT ERC01LCURRENT-1163,750

X

123456789101 11213141516171819202122232425262728293031323334353637383940

FIRSTRMM

135.1.49163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND S)SECONDSO

TESI...A

333333333333333333333"i;

344444444444444333

,9812» 9958.9934.9946,9914,9892,9866,9868,9858.9847,9850, 9836,9844,9849,9859,9867.9877,9898,9916,9938,9989,9970,9983,0016,0030,0073,0117,0159,0210.0250,0271.0316, 0345.0372,0395,0372,0217.9641.8155,5617

HARMONIC F

0000000000000000000000000000000000000111

BlMT

,425.350,561,584.176, 116.195,132.041,090.221.233. 141.241,303.292.220,155, 110, 098.101,042.040,069,091, 204,254.257.324.435,504.471,377.375.523,720, 993.137, 225,244

I ELD 8PH.C1DEG

166

606458

238258-82-229910599537

1033433880121134.1.04-64262207164157167175176173172183.1.80166165166187205217

BM

0,0,0.0.0.0,0.0.0,0.0.0.0.0.0.0.0,0.0.0.0.0,0.0.0.0,0.0.0.0.0,0.0.0.0.0.0,0.0.1,

T

67044649455926220117314219741155250235936538236535740247952554357762562065270074775973472070272h809835719640607625893. 248

PHI 2DECS

8982828193123119111125-42-40-431261211211221191171.1. 71131111141201221.2112312412312212 2123126128129128131-40-33

-27

52

TABLE XXII

Reduced Data of Mapped Fie ld

I".I!I. E N A M E - MP365 :l.. JH0:CNNERCO:I:LCURRENT^:I.846.O5OOUTERCOII. CURRENT-1396, 125

X

12345678910111213141516171819202122232425262728293031323334353637383940

FIRSTRMM

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

AND SECONDBO

TliSLA

4.331.1.4.34684.34494.34674,34384.34.1.94.33954.34024.33974.33894.33964,33864,33994,34084,342.1.4,34334,34474.34724.34934.35184,35744,35544.35684,36044.36184,36604,37024,37404.37894.38254,38394,38764,38934,39064,39134.38684,36844.30734.15353,8934

HARMONIC FIELDSBlMT

0,4550,3960.5830.6100.1780.1150,1760,1490,0700.0910.2090.2240.1610.2610,3520.3340.2660.2010,1330.0990,0810,0550.0640,0680.0690.1930,2490.2470.3230.4160.5010.4670.3830.3930.5610.7831,0861.1961.2541,294

PHI1DEG

216

576254

246265-69

9210192529123039326510110156

-41t A

208159156166174173169170177176163160165183202210

E<2MT

0,6740,4520,5000.5620,2600.2010.1600.1530.1860.4000.5540,5030.3750.3780,4000.3950.3760.4270,5020.5510.5990.6420,6820,7090,7290,8000.8710.8860.8640.8640.8400.8840.9671.0100.9200,8480.8340.8581,1661.516

PHI 2DEG

888:1.81809212211810812 2-43-41-44126119121120.1.1 7116115113110114119121j *?•":>

124124124122123124126128129128132-42-36-33—?*•?

53

TABLE XXIII

Reduced Data of Mapped Field

FILENAME-MP3751.JHO:CNNERC0n..CURRENT~2047.250OlJIERC0ILCURRENT~1599.725

FIRST AND SECOND HARMONIC FIELDSR BO B l PH.T1 B2 PHI 2MM TESLA MT DEG MI' DEO

0,686 880.461 810.487 810.554 810.269 920.205 1220,204 1200.164 1110.220 1230.431 -440.578 -420.539 -430.408 1270.415 1220.466 1220.463 1220.445 1190.498 1180.588 1180.644 .1.150.666 1130.72.1. 1160.797 1210.829 1220.870 1230.935 1241.010 1261.047 1251.033 1241.040 124.1.041 .1.261.073 1261.193 1291.231 .1.301.144 1291.100 1321,113 -411.167 -371.480 -351.863 -30

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.67344,69014,68874.69124,68864.68704.68504.68634.68634,68614.68744,68684.68884,69024.69214.69394.69604.69904,70174.70484,71124,70944.71134.71544.71714.72174.72604.72994.73484.73844.73944.74274.74374.74394.74334.73704.71594.65164.49314.2270

0000000000000000000000000000000000001111

.460

.407

.553

.575

.172,099.183.148.078.083.207.233.163.261. 380.348.271.206.105.069.043.042.073.083.084.196,256.295.333.436.499.484.407.428.597.827.136• 27.1..349. 356

184

536050

251260-68-217395914361229352646959831

-49-76210165163164174177171170177172161160163181196203

54

TABLE XXIV

Reduced Data of Mapped FieldFILENAME=MP3851. JHO.TNNERC0ILCIJRRENT=2260. OOOQUTERCOILCURRENT=1774.000

FIRST AND SECOND HARMONIC FIELDSR BO Bl P H U B2 PHI2MM TESLA MT DEG MT DEG

0.503 17 0.714 880.442 2 0.480 810.579 51 0.485 830.612 58 0.539 810.182 51 0.270 950.098 261 0.241 1240.157 -87 0.232 1220.166 -57 0.192 1130.116 -17 0.251 1230,100 49 0.460 -440.210 80 0.622 -410.224 81 0.603 -440.188 33 0,478 1270.307 5 0.480 1220.399 12 0.535 1230.377 28 0.518 1220.297 31 0.510 1190.225 21 0.566 1180.137 30 0.675 1180.062 75 0.722 1160.060 57 0.760 1140.089 12 0.806 1160.111 -20 0.882 1210.100 -51 0.922 1230.056 217 0.958 1230.170 158 1.060 1250.241 150 1.135 1260.265 159 1.171 1250,305 166 1.178 1240.393 172 1.213 1250.482 169 1.216 1260.476 168 1.277 1270.428 173 1,379 1290.479 171 1,459 1300.670 159 1.400 1300.921 160 1.359 1321.237 163 1.372 -421.373 180 1.433 -381.473 196 1.775 -361.516 202 2.185 -32

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

5.00485.02255.02175.02485.02285.0216

?01.,,~2205.02275.02315.02505.02505.02795,03005.03265.03535.03825,04215,04565,04955.05695.05565.05835.06325.06575.07085.07575.07995.08525.08915.09025.09345.09395.09355.09205.08425.06104.99374.83094.5591

55

TABLE XXV

Reduced Data of Mapped Field

FILENAME=MP4151.JHOINNERCOILCURRENT= 9 6 0 . 0 0 0OUTERCOILCURRENT- 5 0 . 0 0 0

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0,<S49 910.460 810.578 830.636 820.269 910.132 1190.102 1070.083 1070.167 1300.377 -370.517 -350.434 -390.272 1290.242 1210.234 1210.203 1230.172 1140.210 1110.283 1130.334 1090.349 1060.361 1130.395 1220.374 1240.381 1250.413 1270.386 1250.366 1220.408 1200.414 1250.327 1230.287 1190.352 1240.401 1260.295 1190.175 1200.096 -360.111 -70.210 -200.559 -22

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.222222222222222222222222222222222222222

,4205.4278.4215.4198.4150.4119.4088.4075.4050.4028.4018.3996.3992.3991.3996.4000.4006.4028.4052.4078.4123.4128.4153.4200.4238.4304.4378.4454.4538.4618.4688.4788.4887.4997.5108.5197.5188.4791.3551.1306

0.3910.3450.5300.5830.1960.0820.1510.1040.0520.1190.2330.2270.1370.2410.3130.2750.2570.2250.1990.1670.1390.1110.0500.0850,0790.1170.1810.1820.2190.3200.3460.2670.1210.0840.1730.3680.6230.7560.8860.994

05

636651

259262-66

374858540-26

27443966889280-3

-49257169146153167175173168208213153157164196217241

56

TABLE XXVI

Reduced Data of Mapped Field

FILENAME=MP4251.JHOINNERC0ILCURRENT=1041.925OUTERCOILCURRENT= 3 8 1 . 8 0 0

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.665 880.474 800.599 800.640 810.261 880.125 1130.109 1030.108 930.122 1270.349 -390.470 -370.402 -400.261 1240.267 1160.252 1140.213 1160.193 1090.249 1090.334 1120.387 1080.405 1070.407 1140.437 1220.449 1240.460 1240.504 1260.496 1250.491 1220.485 1210.522 1250.440 1240.406 1210.463 1250.491 1260.393 1220.282 1230.211 -390.175 -250.265 -240.674 -26

12345678910111213141516171819202122232425262728293031323334353637363940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.74962.75912.75372.75272.74802.74492.74162.74052.73792.73562.73442.73192.73132.73082.73082.73072.73072.73212.73352.73522.73892.73782,73912.74252.74472.74952.75522.76102.76762.77372.77852.78622.79362.80182.81002.81562.81062,76612.63572.4043

0.4130.3330.5330.5920.1880.1170.1660.1280.0310.0900.2090.2330.1170.2110.2690.2520.2290.2250.2000.1700.1360.0820.0330.0960.1030.1340.2030.2020.2640.3670.4030.3230.1940.1690.2730.4640.7220.8540.9401.041

35

616752

254253-79-1993999347-13

3145487210110589

-45-68256178153158175179177177196202165162166192218236

57

TABLE XXVII

Reduced Data of Mapped Field

FILENAME-MP4351.JHOINNERCOIL CURRENT™ 1 1.56.325OUTERCOILCURRENT™ 697,525

111213141516171819

275289303317332347362377392

202122232425262728293031323334353637383940

407422437452467482'497 "5115255395535675H1595609623637651665679693

FIRST AND SECOND HARMONIC FIELDSX R BO Bl PHI1 E<2 PHI 2

MM TESLA MT »EG MT DEG

1 135 3.1027 0.429 16 0.653 922 149 3,1139 0.329 6 0.46S "Dl"3 163 3.1093 0.551 62 0.553 824 177 3.1089 0.581 66 0.602 8.15 191 3.1042 0.180 58 0.256 926 205 3.101.1. 0.114 243 0,158 122_7_ 21_9 3.0978 ?»1?8 257 0.132 113__8 "233 " 3.0969 6.112 -86 Oi'lil 105"9 247 3,0942 0.021 -32 0.169 12510 261 3,0918 0.083 106 0.359 -4.1

3.0907 0.225 .102 0.512 -383.0879 0,245 97 0.440 -423.0873 0.129 64 0.304 1273.0866 " O.iW 2 073T5" "117'"""3.0862 0,258 6 0.303 .1.193.0857 0.244 36 0.267 .1203.0852 0,206 SO 0.256 1143.0861 0.197 52 0,296 1133.0868 0.168 87 0,379 1123.0878 0.170"" 1.09 '67AM 1.09"3.0909 0.143 120 0.448 1063,0887 0,090 112 0.462 1113.0889 0.0.1.4 247 0,474 1193.0913 0,058 238 0.509 1223.0923 0.105 218 0.524 124

"37W5B'-" " " O.iBS " 170" fl,136U E?ff~3.1000 0.262 155 0.577 1253.1041 0.257 157 0.570 1223.1092 0.324 176 0.562 1213.1137 0.401 179 0.574 1233.1165 0.462 175 0.529 123

3.1272 0.287 186 0.565 1253.1329 0.290 188 0.604 1263.1384 0.396 166 0.493 1223.1408 0.576 163 0,391 1243,1318 0.837 166 0.303 -43

"3"." 0826" •" ~~0~79"56~ TW OT370" ^2.9458 1.048 214 0.493 -322.7073 1.095 229 0.794 -27

58

TABLE XXVIII

Reduced Data of Mapped FieldJH0

:i: N N E R c:o 11... <: u R R E N T=i. 31.0.40 00 u T E R c () :i: 1... c u RRI;::NT =• 993. s ? 5

FIRS'I AND SEiJONii HARMONIC FIELDSx R B O b\ PH:I::I

MM TFSI...A M7 Ul-i-i

3.48.1.63.49433»49043.49063,48613.48313,47973,47933,47673.47443,47343.47063,4701.3,46943.46893,46833,46773,46843,46883.46943,47243.46933,46893,47093,47093,47353.47673,47973.48373,48693,488:1.3,49233,4951.3.49863,50163.50.1.03,48813.43433.29113,0454

1••;>

34567891.011.•| •;)1.31.415161.71 &1.92021.•-> '•>.*.. A..

232425262728293031.323334353637383940

:l.351.491631771 9120521923324726127528930331.7332347362377392407422437452467482497511.525539553567581595609623637651.665679693

0.2240.3330.5430,5750.1.440,1550,2030*1490,0540,0770 , 2120,2420,1010, 1910,2760,2390,1.990, 1480 , 1.410,1.630,1.520,0990,0510,0840,1380,2370,2910,3080,3640,4800,5260,4860,3730,3760,5080,6870.9351,0621. ,1.461,148

-75

626349

251256-86-7612311210361

•;.)

535475288124131127207.••) . • • , , ,

1991731611.6 71781.801.741.721841831.701641.67187209221

B2MT

0,6660,4280,4990,561.0,'25-q0,1.820.1420,1.330.1980,4170,5430,4800,341.0.3250,3360,3170.2'M0,3300,4110.4580,4790,5020,5480,5480,5700,6280,6540,6430,6300,6450,6050,5920,6990,7180,5970.4850.4300.41.40,6360,948

PHI 2OF.fi

9081828194

1251.2211 3131-39-39-401.291.221231251.2011711711311.11 1 41211.22123125125123121123.1 231.231.261271.25.1.28-41-33

-g ••>

-27

59

TABLE XXIX

Reduced Data of Mapped Field

: I-ILENAI"HE>MP4551. JHO! .INNERC0ILCURRENT=1502»50G' 0UTERC0R.CURRENT<*:l.261.125

t

12345678"9

101112.1.3T4'1516

i 17i 18I 19"20"

j 212223

} 24! 25

"262.728293031

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESI...A MT 0EG

3334353637

135149163177191205219233247261275289303317332347362377392

"407422437452467482

511525539553567"BITT595609623637651

3940

679693

3.87473.88893.88573.88673.88233.87953.87643.87653,87413.87223.87163.86913.86903,86853.86833.86803.86753.86853.8690'3,86963,87303.86963.86903.87103.87073.37303.87563.87803.88143.88393.88403.88723.88833,88993.89083.88773.87113.81303,66373.4108

0.3.1.30.3390.5360.5650,1590.1300.1990.1250.0290.0970.2450.2570.1280.1990.2730.2680.2360.1530,1190.1470.1290.0820.0340.0760.1480,5560.3080.3210.4030.5030.5520 ,"5200.4170.4170.5670 • 7901,0581.1891,271,1,252

134

596454

232248269-54121107104701117375754

100130135124193212193163-163168176178174"170"180181170165166184203213

B2MT

0.6570.4410.5110.5630.2610.1990,178O.f380.2060.4270.5700.5070.382073840.3990.3830.3530.4030.49.1.0 . 5 3 T>'0,5480.5860,6260.6420,6610770T0.7580.7500.7430.7410.718

0~.73T~0.8220.8370.7380.6410.573

T775W0.8321,166

PHI 2M G

9 0

8 38 39 5

1 2 41 2 0112" "1 2 6- 4 2- 3 9- 4 31 2 6

• 'T22 - -1 2 21 2 51191 1 81 1 7

""114"1 1 11141 2 01 2 21 2 2

"T251 2 51 2 41 2 21 2 31 2 3

12"41 2 71 2 71 2 61 2 9- 4 3-.5/- 3 4- 2 9

60

TABLE XXX

Reduced Data of Mapped F i e l d

FILENAME=MP4651•JHOINNERCOILCURRENT=1727.650aUTERC0II_CURRENT=1492.025

FIRST AND SECOND HARMONIC FIELDSR BO Bl P H I 1 B2 PHI2MM TESLA MT DEG MT DEG

0.670 900.435 830,489 840.553 830.277 940.233 1250,219 1240.162 1110.249 1260.457 -430.596 -410.531 -440.411 1270.426 1220.435 1230.427 1230.409 1190.468 1180.575 1180.619 1140.630 1120.692 1150.724 1200.748 1210.776 1220.843 1240,912 1250,922 1240.893 1220.893 1230.887 1240.924 1261,001 1271.044 1280.929 1270.889 1290.844 -440.867 -391.166 -361.520 -31

12345678910111213141516171819202122232425262728293031323334353637383940

135J.49163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.26894.28424.28164.28344.2796. 2772

4.27434.27534.27334.27194.27204.27004.27074.27074.27104.27144.27154.27324.27414.27544.27964.27634.27624,27874.27864.28114.28384.28604.28954.29184.29144,29404.29424.29434.29374.28834.26864.20674.05163.7917

0.4240.3970.5120.5260.2150.0920.1760.1090.1000.1000.2060.2450.1820.2720.3630.3560.2930.2230.0870.0890.1100.0410.0310.0570.0720.1850.2430.2560.2990.4060.4750.4590.3400.3580.5480.7621.0761.2181.2821.273

5—*o515449

256-89-52-3263978851717323936439499680

-67220155154168172177169169174177163162164183199208

61

TABLE XXXI

Reduced Data of Mapped Field1FILENAME-MP4751.JHQ

INNERC0ILCURRt"NT=1979.050OUTERCOILCURRENT~1674.375

FIRST AND SECOND HARMONIC FIELDSR BOMM T E S L A

1- - 2

34567

.._.„-.

910111213

___.„..

1516171819

~ 2 02 1222 3242 5

~~36"~272 82930313 23 3343 536373 83 940

1 3 5- j - 4 9

1 6 31771912 0 52 1 9"2332 4 72 6 12 7 52 8 93 0 3

" 3T7 •3 3 23 4 73 6 23 7 73 9 2

4 2 24 3 74 5 24 6 74 8 2

~w?—5 1 15 2 55 3 95 5 35 6 73815 9 56 0 96 2 36 3 76 5 16 6 56 7 96 9 3

4.650.1.4.66674.66484.66754.66444.66254.66014.66224.66064.66014.66114.65984.66154.66234,66364.66504.66614.66874.67044.67284.67854.67574.67664.68014.6808

"•4748424.68754.69024.69434.69694.69674~.69944.69924.69864.69694.68994.66774.60344.44214.1756

0000000000000000000000000

000000000001

T11

BlMT

.431

. 393

.543

.528

.165

.128

.193

.135

.089

.084

.201

.228

.155

.238

.332,315.255.174.081.102.097.043.009.069.116.246 '.314.331.392.474,548

7547.475.491.671.923.247

738"!,428.420

PHI1DEG

13- 2515648

2 4 12 6 0-67- 4 3

8 8969 349

71630413464

1231 2 3109- 2 32 2 7191161.1 6 0168170176168

' 1 6 7 ~ " - • •170172162160163T7B~1 9 3199

B2MT

0.6870.452 '0.4920.5710.2910.2450.235"0.1 Si0.2690.4660.6170.5730.448

o;«s0,4900,4920.4820;S390,625

0,6900.7530.7970.8570.881

1.0341.0561.0451,0401.040

"'Trim1.2181.2661.1821.1351.119I • ZM1.4631.844

PHI 2DEG

9 1

- g£848 39 6

;| 22.1.23

TIT1 2 5- 4 3- 4 1- 4 4126TZZ— '1 2 31 2 31191 1 8118ITS "1 1 31161 2 11 2 21 2 3

~T2W1 2 61 2 41 2 41251 2 51 2 61 2 81 2 91 2 91 3 1- 4 3~.5b- 3 6- 3 2

62

TABLE XXXII

Reduced Data of Mapped F ie l d

F " I L E N A M E : = M P 4 8 5 1 . J H OI! N N E R C 011... C U R REN1=224O.0 0 0Ul.)TERC01I...CURRENT™:l.8:l.6.000

X

:l.

34567891.01.11. 21.31.41.51.61.7181.920217'?232425262728293031323334353637383940

FIRSTRMM

135149.163177191205219233247261275289303317332347362S7?3924074224374524674824 9 7

511525539553567581595609623637651665679693

AND

5 •>

5,5 t

5,b»

5 *'•':.! ,

5*5 *b ,5 ,b *5,5,.5,5,5,5*b .

5,5,5 *5.b i

5.5 i

5-5,5 <bb <

5 <

5.5,5..>444

SECONDBOTESLA

0113029002800312028602730257027402820283030002980325034403670392041804540488052205920576059706450665071107560793084208780882091009100901088208000563988682565535

HARMONIC FIEL

000000000000000000000000000000000000.1.1:l1

B.I.Ml

,479-442.548.552.177• 118,190.166,119,070,178• 225»1 78,287.382,355, 286, .1.98* 093,022.040.049,088.109.098.176,235.252,298,380.478.488.406.46.1..642. 91.1..231,377, 469.516

DSPHI!.DEC

14-4475545

262-•88'6 .1.-34468983351

102728.1.8198 767

-•50

-71232168162172177177172171172.1.691.58.1.58.1.6.1.178.1.94199

B0MT

0.0,0.0,0,0,0.0,0,0,0,0.0,0,0,0,0,0,0.0.0,0,0,0,0.:l,1,1.1,1.1.1.1.1,1,1,1.1,1.2.

702467493538252925222178259469639582462480523514509563656715753807882933981070145175182204200268392455392367388433785194

PHI 2E i E G

8982828195126122114. 1 . 2 5

-43- 4 . 1

--43127.1.221221231191191181151141161211 ?'"'1231251251.25124125125127129130129131-43-39-36

«y .-*" \T> a'..

63

TABLE XXXIII

Reduced Data of Mapped Field1 FI;..EhlAM!->MP5:l.S:l. .Jl-lO

INN E R C 011... f: 11R R E N T ~ 7 8 0 , 0 0 0'UTFRCOILCURRENT^ 5 0 . 0 0 0

FIRST AND SECOND HARMONIC FIELDS1 X R BO Bt PHI I B2 PHI2i MM TESLA MT HE 13 MT DEG

i I. 135 2,2074 0.388 6 0,647 90!"" 2 149 2.2128 0.326 -3 0-459 '80; 3 163 2.2051 0,500 61 0,581 81

4 177 2.2024 0,532 68 0-623 825 191 2.1971 0,167 65 0,'241 896 205 2,1933 0,112 246 0,090 1237 219 2,1897 0.169 256 0,069 104

" I f 233 2,1876 0,097 -75 0,059 'W69 247 2,1845 0,045 20 0,144 -39

10 261 2,1816 0.106 89 0,371 -3411 275 2,1799 0,219 93 0,506 -3412 289 2,1772 0,226 91 0,398 -3613 303 2,1760 0,117 45 0.229 :t 32

"14' ' 317 2,1752 0,221 -7 O.'3"O~5" 12015 332 2,1750 0,265 1 0,197 12116 347 2.1745 0,246 28 0,140 12217 362 2,1744 0,230 48 0.106 11318 377 2,1758 0,219 49 0,163 10819 392 2,1774 0,200 75 0,241 11:12 0 " 407 ' 2,1792 0,193 100 0~.2S.T"'1.07 "21 422 2.1828 0,179 109 0.296 10622 437 2,1827 0,124 105 0,298 11523 452 2,1845 0,007 103 0,339 12524 467 2,1.882 0.072 -84 0,321 12825 482 2.1912 0,095 235 0,327 129

' 2, :l 970 0.161. 16(3- 0 ,"3755'""" T."JO ~2,2037 0,211 151 0.344 1282,2108 0,216 1.49 0,325 1222.2185 0,252 166 0,365 1232,2257 0,325 A/ 0,397 1272,2323 0,339 169 0,307 1252.24:18 0.286 169 0;i~>4V~~T2"~r2,2515 0,114 198 0.297 1232,2625 0,112 226 0,320 1252.2738 0,165 172 0,238 1142,2833 0,355 159 0.136 1092,2838 0,596 159 0.055 -382.2465 0.702 :l.9~5 3T07>7~" T~2.1267 0.917 220 0.093 -191,9065 0.977 245 0.443 -26

64

TABLE XXXI'/

Reduced Data of Mf^ped Field

FILENAME=MP5251.JH0INNERCOILCURRENT= 838.675QUTERCOILCURRENT= 411.825

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 F-HI2MM TESLA MT DE6 MT DE6

0.480 6 0.660 890.331 1 0.454 800.519 63 0.560 810.564 68 0.625 800.164 58 0.256 890.116 243 0.128 1190.162 253 0.087 1080.103 -80 0.089 980.021 -37 0.143 1320.097 90 0.367 -370.221 96 0.496 -360.233 93 0.406 -390.095 52 0.260 1300.191 1 0.237 1170.262 4 0.242 1200.221 29 0.189 1160.211 51 0.166 1100.202 52 0.227 1100.204 79 0.307 1110.182 108 0.368 1080.152 122 0.374 1070.101 130 0.372 1150.031 210 0.416 1230.076 256 0.425 1240.101 224 0.455 1270.174 172 0.477 1260.237 154 0.470 1250.250 159 0.461 1210.293 170 0.470 1220.388 175 0,505 1250.431 172 0,427 1240.355 175 0.371 1200.202 189 0.448 1230.158 193 0.482 1250.254 160 0.388 1200.441 161 0.279 1190.687 165 0.193 1310,804 194 0.108 -370,909 216 0.241 -371.026 242 0.555 -30

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.53552.54342.53692.53502.52972.52592.52202.52012.51662.51352.51162,50832.50682.50542.50432.50312.50202.50232.50262.50312.50552.50342.50342.50542.50632.50992.51442.51912.52462.52952.53332.54012.54692.55472.56272.56862.56472.52212.39522.1678

65

TABLE XXXVReduced Data of Mapped F ie ld

FILENAME=MP5351 • JHOINNERCOILCURRENT= 9 4 1 . 5 7 5OUTERCOILCURRENT= 7 6 0 . 2 2 5

FIRST AND SECOND HARMONIC FIELDSR BO B l PH I1MM TESLA MT DEG

0.416 140.318 30.542 660.588 660.1B9 620.107 2440.180 2510.117 2670.014 -130.100 1150.222 1080.226 1010.097 660,165 00.229 60.215 380.201 590.195 630.190 900.204 1190.164 1320.130 1410.077 1900.093 2220.113 2070.203 1660.293 1590.300 1630.350 1740.460 1770.510 1740,444 1720.307 1830.271 1840.373 1650,565 1620.819 1660.938 1910.981 2151.077 234

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.90252.91252.90692.90562.90032.89652.89242.89062.88702.88372.88162.87792.87612.87422.87262.87082.86892.86842.86772.86712.86862.86492.86352.86412.86332.86512.86772.87042.87382.87672,87812.88252.88642.89112.89612.89822.88982.84192.70792.4729

B2MT

0.6580.4570.5720.6160.2550.1440.1160.1060.1530.3550.4960.4200.2880.2670.2720.2350.2260.2870.3650.4120.4320.4500.471C.4800.4960.5370.5590.5520,5460,5680,4970.4440.5110.5660.4770.3720.3190.2490.3350.713

PHI 2DEC

'08081809112010798125-39-37-40125120119118113111112108106114121123124125125122121124122120123125121123131-40-36-31

66

TABLE XXXVI

Reduced Data of Mapped Field

FIL.ENAME-MP5451 * JHOIN N E R C 0 :i: I.. C U R R E N T=1104.7750 U TE RCDIL CIJ RRENT=1084.875

X

:i.23456789

101 112.1.31415161718.1.92021

232425262728293031323334353637383940

FIRSTRMM

135149.16317719120521923324726:12752893033173323473623773924074224374:r:>46748249751152553955356 7581595609623637651665679693

AND SECONDBOTESLA

3. 31613.32773.32293.32243.31733.31353.30943,30813,30443.30123,29923.29543,29373,29173,29003.28803,28583,28493,28363,28263.28383.27913,27683,-27673,27473.27543.27673,27793.27993,28123,28073,28323,28473.28673.28883.28753,27463.22153,08012*8370

HARMONIC I"MMT

0,2120,3090,5210,5610,1840,1020.1880,1100.0200.1250.2390.2760,1390,1540.2380.2260,2210.1990.1820.2120.2060.1610.0930,0920,1380.2700.3420,3550,4310,5300.5800.5380,3890,3880.5050,7220.9721.0661.1241.143

I ELDSPHI1BEG

33

646561

228245260212116113107751018476468101122136141171196184161158165173175.1.71168175176161162165186 .209223

B2MT

0.6100,4470.5150.5760.2340.1670.1190,1150.1900.3910.5280.4590,3210,3280.3260.3090.2790,3380.4390,4680.4910,5140,5560,5640.5890.6430.6630,6600.6630,6940.6210.6050.6660.7230,63.1.0.5.1.60,4320.4070.6.1.30.884

PHI 2DEC

9382828295

129117109130-39-38-41.1.271'??12212311811.61151111.09114120

123125125123123124123121124126124125132-40-37

74

67

TABLE XXXVII

Reduced Data of Happed Field

FILENAMI=>MP5551,JH0:i NNERCOILCURPFNT-1324 .72SOUt E RCO ILCURRENT= 1369,575

X

12345678910111213141516171819202122232425262728293031323334353637383940

FIRSTRMM

135.49:!o31771912052192332472612752893033173323473623773(>>240742243?452467482497511525539553567581595609623637651665679693

AND SECONDBO

TESLA

3.75473,76803,74413/76443.75973*75623,75233/75173,74833,74543,74403,74043-> 73923,73753,73613,73443.73253.73193*73073,72983,73143,72633,72403,72393,72153,72193.72263.72313,72463,72503.72343,72473,72443/72433.72413.7.1.983,70293,64483.49643,2451

HARMONIC FIE

00000000000000000000000000000000000011:l.1

MT

,202,332.532.546.155,135.187.118,024,106,243,273,129,170,235,252.228,158.160,204, 195,148/1.07,120. 179,310, 366,391.472.585.633.587.478.478.621. 808, 086,20.1.,263.240

LDSPHI!DE6

93

636459

236243262239123113109831423456573

107135139140172188179162160168175176173.1.70175178167164165184203215

B2MT

0,64.10,4310,5100,5650.25?0,1860,1530,1240,1940,4000,5520,4760,3570,3400,3630.3660,3350,3870,4700,5090*5400,5750,6190,6570,6750,7340,7430*7500,7600.7680.7230,7200/7840,8260,7180,6420,5810,5850.8171,099

PHI 2DEG

8782828295127121111128•41-40-421271 2?12312512111811 8114111115120123124126126124123124124124126128.1.26129-43•38

-35-31

68

TABLE XXXVIII

Reduced Data of Mapped Field

FILENAME-MP5651.JHOINNERC0ILCURRENT=1592•525OIH ERCOILCURRENT*=16O2.475

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.393 0 0,667 910.324 7 0.423 820.524 62 0.494 810.547 64 0.546 820.127 63 0.261 950.144 224 0.213 1250.194 247 0.172 1210.131 265 0.137 1120.028 251 0.211 1260.100 131 0.420 -420.235 113 0.566 -410.248 106 0.503 -430.131 71 0.379 1270.177 21 0.383 1220.268 21 0.399 1230.279 49 0.413 1240.234 64 0.391 1210.170 71 0.443 1190.162 108 0.521 1190.216 131 0.566 1150.204 130 0.614 1130.141 131 0.646 1150.089 159 0.700 1210.101 176 0.731 1220.174 167 0.758 1230.315 154 0.820 1250.353 158 0.882 1260.371 163 0.912 1240.457 169 0.892 1230.552 174 0.908 1240.628 169 0.882 1250.604 167 0.928 1250.490 173 0.994 1270.507 173 1.064 1280.664 165 0.973 1270.886 162 0.894 1291.177 164 0.866 -441.307 181 0.861 -391.361 198 1.127 -361.328 206 1.450 -32

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.19794.213:4.20994.21114.20704.20404.20054.20094.19814,19604.19534.19244.19224.19124.19064.18984.18874.18904.18844.18844.19124.18644.18484.18554.18364.18454.18554.18614.18784.18834.18634.18724.18594.18464.18274.17624.15574.09343.93863.6793

69

TABLE XXXIX

Reduced Data o f Mapped F i e l d

I- ILENAME=MP5751. JHOINNERCOILCURRENT-1899.500OUTERC0ILCURRENT=l?60.225

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESLA MT DEG

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.62244.63904.63684.63924.63594.63364.63084.63244.63044*62944.62994.62804.62914.62934.62994.63064.63084.63264.63344.63494.63964.63594.63574.63814.63754.63984.64204.64354.64644.64784.64644.64794.64664.64494.64234.63444.61144.54564.38524.1188

0.3750.3560.5180.5390.1530.1140.1730.1050.0600.1030.2310.2600.1500.2160.3220.3170.2650.1780.1200.1700.1540.1030.0430.0620.1540.2970.3670.3840.4590.5600.6310.6330.5540.5530.7360.9701.2761.4021.4271.428

32

566059

229254-79-249810410162182440535384126119118155183172155157164167169165162166167159158162176193198

B2MT

0.6390.4570.4990.5680.2930.2500.2230.1910.2640.4530.6110.5590.4560.4620.4860.4820.4720.5240.6250.6750.7030.7490.8040.8500.8820.9511.0401.0721.0641.0651.0551.1041.2241.2891.1931.1531.1391.1891.4661.852

PHI 2DEG

9184848496121118109122-44-42133125121121121119118118115113116121122123124125125123124124126128129128131-44-40~36-32

70

TABLE XL

Reduced Data of Mapped F ie ld

hP585:l.,., 11-10.INNERC0.1.1...0URRENT=2220 , 000

ERCiHIXURRENT" 1858,000

X

:l.

3456789101112131415161718192021222324252627282930313233343536Z7383940

FURSfRMM

1351491631771 91205219233247261275289303317332347362377392407422437452467482497511525539553567581.595609623637651665679693

AND

5.C1 .5 <•

5,5.5.5,5,5,5.b f5.5,5.

o *5,5,5.5.5.5,5.s5.V."

•J •5.b <5.5.5.5 •5.5,5<5<5,4,4,4,

SECONDBOTESLA

0177035303430374034703330316033103380338035303490375039204120435045804920522055306200601061806620678072007600793083808690869089208880874.0851.0765,0523,9843• 8210,5487

HARMON

0,0.0.0,0.0,0,0,0.0.0.0.0.0.0.0,0,0,0,0.0.0.0.0,0,0.0,0.0.0,0.0*0,0.0*0,1.1..1..1.

;i:c FBlMT

496437568

1681.1.21941771.240 711.802121532803723442702030860560430440720781002222793023464285155.1.7

450481674938260398494506

I ELDSPH11DEG

150

485748247267_ i. '*>

-••)••?

bl86863449

2632224111310730i n

268206169164169177175170167173168159,| 58161179193199

B2MT

0.6910.4640,4900*5440 .2590.2260.2130.1900.2470.4660.6340,5930.4830,4630.5110,5080.5200,5650.6540.7210.7490.8230.8890.9370.9811,0791.1481.1981,1981.2271.2331.3021.4221,4791.4331,3911.4091 • 4691.8022.183

PHI 2DEG

89828.18196123121114124-43-42-4412712212312312011911911611.411 71 21122123125126125124125126127129129129132••-43-39-36•32

71

TABLE XLIReduced Data of Mapped Field

FILENAME=MP6151.JHOINNERCOILCURRENT^ 600.000OUTERCOILCURRENT= 50.000

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI 2MM TESLA MT BEG MT DEG

0.4-11 13 0.700 890.311 2 0.473 820.491 68 0,603 820.540 74 0.635 820.173 76 0.241 890.105 223 0.078 1190.140 250 0.058 1000.062 -88 0.054 1080.040 85 0.141 -380.122 98 0.360 -330,237 99 0.499 -320.225 93 0.397 -340.077 46 0.221 1340,172 ••••11 0.181 1220.241 -2 0.177 1220.213 33 0.113 1240.207 61 0.075 1130.200 60 0.131 1090.231 87 0.200 1120.222 108 0.245 1090.190 122 0.273 1080.150 116 0.261 1180.034 136 0.327 1290.044 230 0.329 1320.103 207 0.330 1310.201 163 0.373 1340.256 150 0.357 1300.241 151 0.327 1250.273 161 0.350 1240.344 164 0.380 1270.384 166 0.313 1250.302 165 0.243 1210.162 195 0.308 1230.135 194 0.355 1230.215 167 0.262 1110.362 157 0.164 1010.584 161 0.068 1140.675 197 0.036 480.816 220 0.030 860.944 251 0.339 -32

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

1.98991.99241.98331.97941.97321.96881.96461.96131.95821.95471.95211.94891.94701.94561.94471.94361.94291.94361.94471.94591.94861.94801.94921.95211.95471.95981.96621.97281.97991.98681.99302.00202.01192.02302.03492.04512.04772.01341.89911.6842

72

TABLE XLI I

Reduced Data of Mapped F i e l d

FILENAME=MP6251.JHQINNERCOILCURRENT- 6 2 0 , 0 0 0OUTERCOILCURRENT- 4 4 5 . 0 0 0

FIRST AND SECOND HARMONIC FIELDSR BO B l F'HI l B2 PHI2MM TESLA MT DEG MT DEC

0.684 900.461 810.585 810.637 810.256 900.115 1190.091 1040.075 970.146 1340,370 -360,509 -350.410 -380.253 1300.226 1200.220 1190.158 1210.142 1110.197 1090.276 1110.326 1080.341 1080.348 1170.406 1260.410 1260.424 1270.466 1290.471 1260.455 1240.479 1230.513 1270.416 1250.354 1210.430 1240.447 1220.360 1150.251 1120.172 1220.095 1190,123 1200,457 -37

12345678910111213141516171819202122232425262728293031323374353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.30212.30752.29982.29682.29052.28602.28152.27802.27462.27062.26752.26352.26102.25862.25662.25432.23222.25142.25082.25012.25092.24802.24682.24732.24722.24952,25302.25672.26102.26492.26792.27372.28012.28762.29582.30202.29982.25992.13811,9158

0.3890.2920.5140.5480.1580,1170.1710.0920,0120.1210.2220.2410.0850.1300.1990.1820.2080.2060.2460.2500.2480.1930.1120.0900.1290.2420.3130.3080.3260.4420.4720.4190.2310.2220.3120.4650.6540.7470.9160.994

142

697270

22824224715211610910377-34

46717294121132147173198189164157158165170167169177184160157161193219248

73

TABLE XLI I I

Reduced Data of Mapped Field

FILENAME=MP6351.JHOINNERCQILCURRENT= 7 0 0 , 0 0 0OUTERCOILCURRENT= 8 3 0 . 0 0 0

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM T E S L A MT DE6

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2,2.2.2.2.2.2.2.2.2,2.2.2,2.

6748682867626738667566276580654465076463642863826352632162906259622662056185616261566106607360606035603460456055607260856086611361436183622762496175571844212116

00000000000000000000000000000000000000

.392

.298

.542

.598

.180

.134

.167

.091

.034

.128

.260

.252

.101

.126

.194

.202

.225

.221

.241

.245

.239

.191

.132

.122

.145

.258

.340

.358

.399

.496

.528

.477

.327

.286

.375

.556

.785

.8760.9801.042

117

6871692282402481491221111088391549727497124140155186196184164160168174176173173179182162163166192214240

B2MT

0.6800.4610.S670.6130.2510.1230.0850.0870.1320.3460.4750.3940.2510.2490.2400.2130.1900.2450.3320.3850.3960.4030.4440.4730.4910.5190.5470.5450.5430.5740.4860.4370.5280.5780.4910.3640.2840.1990.3240.630

PHI 2DEG

8981818190

117105

94128-37-36

127117119120112111113109107114123125125126127123123125123121123124120119126127132-37

74

TABLE XLIV

Reduced Data of Mapped Field

FILENAME^MP6451•JHOINNERCOILCURRENT= 870.000QUTERCOILCURRENT»i190.000

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESLA MT DE6

0.373 190.300 100.554 660.604 690.188 700.126 2190.172 2360.107 2390.032 1560.147 1240.269 1170.292 1130.147 900.119 220.203 260.228 600.234 730.235 780.250 990.275 1220.262 1390.231 1500.175 1720.144 1770.177 1700.320 1540.404 1560.420 1650.463 1710.576 1730.605 1700.571 1690.422 1730.392 1730.527 1620.697 1610.938 1651.031 1881.058 2101.091 229

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.12663.13693.13133.12983.12363.11883.11403.11073.10713.10263.09913.09423.09133.08793.08443.08093.07723.07453.07173.06853.06743.06093.05653.05413.05013.04843.04783.04693.04693.04623.04383.04423.04423.04503.04603.04413.03162,97962.84142.6016

B2MT

0.6900.4200.5230.5800.2290.1550.1120.0910.1680.3870.5200.4360.3260.3050.3150.2770.2700.3150.3990.4400.4590.4890.5510.5660.5790.6320.6440.6480.6580.6880.6100.5780.6620.7160.6310.5270.4520.3750.5140.840

PHI 2DE6

8881818193127113104129-38-38-41128121123122117114114111110116123125125127127124124125124123125126124123130134-42-36

75

TABLE XLV

Reduced Data of Mapped Field

FILENAME-MP6551.JHOINNERCQILCURRENT=1120.000OUTERC0ILCURRENT^1495.OOO

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESLA MT DEG

0.373 250.286 120.554 660.592 690.195 690.131 2100.180 2270.087 2220.054 1560.186 1310.308 1200.319 1150.180 1010.151 470.208 420.249 670.251 870.225 960.250 1170.309 1370.297 1430.274 1500.203 1630.205 1740.247 1650.384 1580.467 1570.496 1640.562 1710.641 1720.706 1690.672 1660.557 1710.538 1690.669 1620.883 1611.132 1641.209 1821.253 2011.207 216

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

3.61773.63013.62543.62493.61903.61453.61003.60743.60423.60023.59723.59263.59023.58723.58413.58093.57753.57503.57243,56943.56873.56183.55723.55493.55053.54843.54713.54543.54473.54313.53943.53833.53633.53473.53313.52773.51053.45283.30653.0573

B2Ml

0.0.0.0,0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.1.

711441508559264170133125180371519451342345347331303362442503511545566601634698737724732765712676772840776662577528756012

PHI 2DEG

8881828194122113104123-42-40-43125119123122118117115111\<".-V113120122123125125123122124123122125126124125130-43-40-34

76

TABLE XLVI

Reduced Data of Mapped Field

FILENAME-MP6651.JHOINNERC0ILCURRENT=1430.000aiJTERCOILCURRENT=l 740.000

FIRST AND SECOND HARMONIC FIELDSR BO Bl PHI1 B2 PHI2MM TESLA MT DEG MT DEG

0.373 48 0.657 890.319 10 0.417 820.550 63 0.465 830.586 66 0.538 820.180 60 0.257 950.133 225 0.194 1270.179 242 0.168 1210.104 258 0.138 1110.018 135 0.215 1260.132 122 0.429 -420,249 117 0.577 -400.278 111 0.505 -430.146 87 0.391 1270.154 25 0.412 1220.240 28 0.429 1240.254 52 0.428 1240,231 69 0.403 1210.176 81 0.457 1190.185 119 0.533 1190.227 137 0.585 1150.224 142 0.608 1120.190 148 0.641 1140.143 165 0.687 1200.151 177 0.719 1220.224 168 0.758 1230.353 160 0.834 1250.416 161 0.869 1250.459 169 0.877 1240.525 173 0.890 1230.652 174 0.925 1250.714 171 0.881 1250.687 168 0.874 1240.596 173 0.976 1260.606 174 1.038 1270.745 164 0.968 1260.958 163 0.883 1281.229 164 0.846 1331.357 181 0.828 -411.415 197 1.105 -391.355 208 1.400 -34

12345678910111213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.11794.13214.12854.12924.12384.11994.11594.11444.11214.10894.10694.10314.10184.09964.09754.09544.09304.09164.08994.08794,08854.08214.07844.07714.07334.07184.07104.06954.0691A.06774.06374.06224.05924.05624.05284.04494.02373.96113,80733.5492

77

TABLE XLVII

Reduced Data of Mapped F i e l d

FILENAME=MP6751, JHOINNERCOILCURRENT-1805.000GUTERCOILCURRENT-1862.000

FIRST AND SECOND HARMONIC FIELDSR BO B l PHI1MM TESLA MT DEG

1234567

a910

n1213141516171819202122232425262728293031323334353637383940

135149163177191205219233247261275289303317332347362377392407422437452467482497511525539553567581595609623637651665679693

4.59264.60834.60584.60784.60344.60044.59744.59734.59644.59454.59404.59164.59214.59154.59114.59104.59054.59114.5914S59154.59464.58994.58834.58944.58774.58834.58934.58954.59104.59134.58844.58824,58574.58274.57924.57014.54654.48034.32054.0545

0.5160.3840.5790.6040.1980.0820.1200.0980.0560.1230.2530.2710.1730.2200,3130.3360.2830.1990.1500.1720.1780.1150,0740.0780.1730.3150.3670.4040.4750.5780.6610.6440.5660.5880.7691.0161.3171.4301.4861.454

269

596257

236257-71169110298692126455760951241251241571G0165154160166168169166163166166158159162177191199

B2MT

0. 7340.4200.4410.5400.2880.2420.2210.1750,2470.4630,6170.5700.4560.4590.4840.4870.4890,5280,6190,6820 ,7200.7690.8210.8570,9040,9761.0551.1121.0831.0821.0751.1351.2351.2941.2341.1991,1781.1991.4961.866

PHI 2DEG

9182838399124120113126-43-42-43126123123124121121120117114116121123123125126125124124125126128129128131-44-41-37-33

78

TABLE XLVIII

Reduced Data of Mapped Field

I I I l;::NAiil::>MP68S:l., JHOT N H I- \< r: o :i: i. n u R R E N T -= 2200 ,0 0 0OUTERi:0.11.. C(iRRENT~ 1900, 000

X

1••;>

34567891.01.11.21.31.41.51.6

1.71.81.9202122,53242526.:) _,28293031.•\ 2

3334353637383940

1" I.RSH

RMM

1351491.631771 9120521 92332472612752'-V?303317332347362:•>; 7 7

39240 74224374524674824975115255395535675815 9 56096236376516656796 93

AND

5 •»

5 •>

5 ,5,5,5 !•

5,5,5,I—,.J ,

5 ,5,5,5,5,5,5,5,5,5,5,5,5,i;."

5 s-5,5,5,5,5 ,5,o,5,5,5,5,5.,4,4-A.

SECONDBOTESLA

02440 4190408043804100395037703910396039504080402042604410459047905000531055905860649062706410680069207300 76607950835086308580876086 708 4 90821.07310485980281655440

HARMONTC FMMT

0,4780,4310,5650,5750,191

0,0880,1.730,1.590,0990 ,0920,2210,2210,1780,2780,3940,3570,2910,2150,0880,0720,0540,0490,0650,0670,0750,2250,2910,3.1.70,3600,4660,5350,5580,4680,521.0,6990,9591. , 2861 , 4161,5041,529

I ELDSPHTIDEG

1. 71

495950

245269-61..... j y

58928938o

1530382947

1069742

-45-832051.611571641.691691681661721.691.611591621.78192198

B2MT

0,6930,4650,5040,5380,2770,2460,2340,21S0,2750,4780,6530,6120,4990-5060,5530-5500,5490,5990 , 6930,7500,7950 * 8 3 40,9240,9601 ,0151,1.051,1951,2271,2371,2621,2711,3541,4761, 5 3 31 ,4741 ,4411,4401. , 4871,8192,21.0

PHIDFG

838297

1241.2211 5124134-42.-4 412?1231221.2321

: :l •-'1.1 v1.1 6:l 1 41 1 61201221.221241251 251241 24I 26

129129129131.....44

-40.... -i -;.

••••3?

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