1
Finite Element Analysis of a Novel Design of a Three Phase Transverse Flux Machine with an External Rotor Erich Schmidt, Member , IEEE Institute of Electrical Drives and Machines, Vienna University of Technology,Vienna, Austria [email protected] Abstract – The permanent magnet excited trans- verse flux machine is well suited in particular for direct drive applications of electric road vehicles. The 3D fi- nite element model with completely independent rotor and stator parts includes only two poles of the machine with appropriate repeating periodic boundary condi- tions for the unknown degrees of freedom of the 3D magnetic vector potential. Consequently, the various angular rotor positions can be calculated by utilizing the sliding surface approach and a domain decomposi- tion algorithm. I. Introduction As shown in Fig. 1, the novel design with an external rotor consists of a three phase arrangement with a total number of 120 poles. The rotor parts of the three phases are arranged in line and carry the permanent magnets with an alternating magnetization in circumferential di- rection. On the other hand, the stator parts of the three phases carry the ring windings of the three phases and have an appropriate mechanical angular shift necessary for the three phase operation. Fig. 1: Three phase transverse flux machine with inline rotor seg- ments and inserted permanent magnets as well as shifted stator segments and ring windings, finite element model of two poles II. Sample Analysis Results Fig. 2 shows the load torque of the three phases and the entire machine with the rated stator current of ˆ I = 120 A as well as the load torque of the entire machine with var- ious stator currents of ˆ I = 30A ... 150 A according to a maximum electromagnetic torque. The three phases con- tribute to the electromagnetic torque independently with only little interaction. Due to the appropriate electri- cal shift of the three phase currents, the resulting shaft torque is comparatively as smooth as for conventional three phase induction machines. Nevertheless, the elec- tromagnetic torque shows higher harmonics with in par- ticular a significant 6 th harmonic component. Fig. 3 shows both no-load voltages as well as short- circuit currents of the three phases for the rated speed of n = 400 rpm. Caused by the high level of saturation, the three phase voltages have a significant 3 rd harmonic component resulting in a non-vanishing sum of the three phase voltages as additionally drawn. On the other hand due to the low level of saturation, the three short-circuit currents of the Y-connected stator are nearly sinusoidal with respect to time. 0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π Angular position ϕ (rad) 0 50 100 150 200 250 300 350 400 450 500 Torque Tz (Nm) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π Angular position ϕ (rad) 0 50 100 150 200 250 300 350 400 450 500 Torque Tz (Nm) . . . . . . . . . . . . . . . . . . . .. . . .. . . . . . . . . . . .. . . . . . . .. . . .. . . .. . . . . . . . .. . . ... . . . . . . . . . . . . . . . . . .. . . ... . . . . . . . . . .. . . . . . . . . . . . . . . . ... . . . . . . . . . . ... . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. Fig. 2: Load torque of the entire machine and the three phases with rated stator current of ˆ I = 120 A (left), load torque of the en- tire machine with stator currents ˆ I = 30 A ... 150 A (right) 0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π Angular position ϕ (rad) -300 -250 -200 -150 -100 -50 0 50 100 150 200 250 300 Voltage Ui (V) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . 0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π Angular position ϕ (rad) -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 Current Isc (A) . . . . . . Fig. 3: No-load voltages (left) and short-circuit currents (right) of the three phases, rated speed of n = 400 rpm With an intent of basic design studies for an optimiza- tion, the full paper will additionally discuss a comparison of using isotropic and anisotropic materials with either the stator or rotor parts. References [1] Blissenbach R.: Entwicklung von permanenterregten Trans- versalflussmaschinen hoher Drehmomentdichte f¨ ur Traktions- antriebe. Doctoral Thesis (in German), RWTH Aachen, 2002. [2] Hackmann W.: Systemvergleich unterschiedlicher Radnaben- antriebe f¨ ur den Schienenverkehr: Asynchronmaschine, per- manenterregte Synchronmaschine, Transversalflussmaschine. Doctoral Thesis (in German), TU Darmstadt, 2003. [3] Schmidt E.: ”3D Finite Element Analysis of the Cogging Torque of a Transverse Flux Machine”. IEEE Transactions on Magnetics, Vol. 41, No. 5, May 2005. 978-1-4244-7061-7/10/$26.00 ©2010 IEEE

Finite Element Analysis of a Novel Design of a Three Phase

  • Upload
    others

  • View
    2

  • Download
    0

Embed Size (px)

Citation preview

Finite Element Analysis of a Novel Design of aThree Phase Transverse Flux Machine with an External Rotor

Erich Schmidt, Member, IEEEInstitute of Electrical Drives and Machines, Vienna University of Technology, Vienna, Austria

[email protected]

Abstract – The permanent magnet excited trans-verse flux machine is well suited in particular for directdrive applications of electric road vehicles. The 3D fi-nite element model with completely independent rotorand stator parts includes only two poles of the machinewith appropriate repeating periodic boundary condi-tions for the unknown degrees of freedom of the 3Dmagnetic vector potential. Consequently, the variousangular rotor positions can be calculated by utilizingthe sliding surface approach and a domain decomposi-tion algorithm.

I. Introduction

As shown in Fig. 1, the novel design with an externalrotor consists of a three phase arrangement with a totalnumber of 120 poles. The rotor parts of the three phasesare arranged in line and carry the permanent magnetswith an alternating magnetization in circumferential di-rection. On the other hand, the stator parts of the threephases carry the ring windings of the three phases andhave an appropriate mechanical angular shift necessaryfor the three phase operation.

Fig. 1: Three phase transverse flux machine with inline rotor seg-ments and inserted permanent magnets as well as shiftedstator segments and ring windings, finite element modelof two poles

II. Sample Analysis Results

Fig. 2 shows the load torque of the three phases and theentire machine with the rated stator current of I = 120 Aas well as the load torque of the entire machine with var-ious stator currents of I = 30 A . . .150 A according to amaximum electromagnetic torque. The three phases con-tribute to the electromagnetic torque independently withonly little interaction. Due to the appropriate electri-cal shift of the three phase currents, the resulting shaft

torque is comparatively as smooth as for conventionalthree phase induction machines. Nevertheless, the elec-tromagnetic torque shows higher harmonics with in par-ticular a significant 6th harmonic component.

Fig. 3 shows both no-load voltages as well as short-circuit currents of the three phases for the rated speedof n = 400 rpm. Caused by the high level of saturation,the three phase voltages have a significant 3rd harmoniccomponent resulting in a non-vanishing sum of the threephase voltages as additionally drawn. On the other handdue to the low level of saturation, the three short-circuitcurrents of the Y-connected stator are nearly sinusoidalwith respect to time.

0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π

Angular position ϕ (rad)

0

50

100

150

200

250

300

350

400

450

500

Torque Tz (Nm)

........................................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

................................................................................................................................................

................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ...........

.................................................................................................................................................................................................................

............................................................................................................................................................................................................................

........................................................................................

..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

.........................................................................................................................

...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

................................................................................................................................................................................................................. .......................................................

0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π

Angular position ϕ (rad)

0

50

100

150

200

250

300

350

400

450

500

Torque Tz (Nm)

........................................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

................................................................................................................................................

................................. ................................. ..........................

...........................................................................

...........................................................................

.............................................................................

...................... ................................. ............................................ ................................. ......

......................

.........................................................................

...............

....................................................... ......................

.............................................................................

...........................................................................

..............

...................................................... ......................

............................................................

.................................

........... .............................................................................

........................................................................................

....................................................... ......................

.............................................................................

................................. ........................................................

.................................................................................

...................................................................................................................

.........................................................................................................

............................................

.............................................................................................................................................................................

..........................................

.....................................................................................................................................................................

Fig. 2: Load torque of the entire machine and the three phases with

rated stator current of I = 120 A (left), load torque of the en-

tire machine with stator currents I = 30 A . . . 150A (right)

0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π

Angular position ϕ (rad)

−300

−250

−200

−150

−100

−50

0

50

100

150

200

250

300

Voltage Ui (V)

......................

..................................................................................................................

......................

.......................

.................................................................................................................

.......................

........................

.........................................................................................................................

........................................................................................................................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

...........................................................................

.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

..............................................................

0 π/4 2π/4 3π/4 π 5π/4 6π/4 7π/4 π

Angular position ϕ (rad)

−120

−100

−80

−60

−40

−20

0

20

40

60

80

100

120

Current Isc (A)

.............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

.......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

.........................................................................................................................................................................................................................................................................................................................................................

..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

..............................................................................................................................................................................................................................................................................................................................................................................................................................

Fig. 3: No-load voltages (left) and short-circuit currents (right) ofthe three phases, rated speed of n = 400 rpm

With an intent of basic design studies for an optimiza-tion, the full paper will additionally discuss a comparisonof using isotropic and anisotropic materials with eitherthe stator or rotor parts.

References

[1] Blissenbach R.: Entwicklung von permanenterregten Trans-versalflussmaschinen hoher Drehmomentdichte fur Traktions-antriebe. Doctoral Thesis (in German), RWTH Aachen, 2002.

[2] Hackmann W.: Systemvergleich unterschiedlicher Radnaben-antriebe fur den Schienenverkehr: Asynchronmaschine, per-manenterregte Synchronmaschine, Transversalflussmaschine.Doctoral Thesis (in German), TU Darmstadt, 2003.

[3] Schmidt E.: ”3D Finite Element Analysis of the CoggingTorque of a Transverse Flux Machine”. IEEE Transactionson Magnetics, Vol. 41, No. 5, May 2005.

978-1-4244-7061-7/10/$26.00 ©2010 IEEE