Modeling of nine-phase interior permanent magnet machines (IPM) including harmonic effects

Gautam, Amrit; Karugaba, Sosthenes; Ojo, Joseph Olorunfemi

doi:10.1109/iemdc.2011.5994893

Cited by 16 publications

(5 citation statements)

References 10 publications

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“…The obtained flux linkages matrix of the nine-phase motor is given in (25) where If the transformation matrix T * (θ, α, β) and its inverse T * (θ, α, β) −1 are applied to the voltage equation that given in (6), voltage equations in terms of qd0 axes variables can be obtained as stated below (26)(27)(28), as shown at the bottom of the next page. It is easily seen from the equations that all qd0 axes voltages have coupled each other because of the flux linkage terms are given in (23)- (25), as shown at the bottom of the next page.…”

Section: Mathematical Modelling and Simulatons Of The Nine-phasementioning

confidence: 99%

Modeling and Experimental Verification of an Unconventional 9-Phase Asymmetric Winding PM Motor Dedicated to Electric Traction Applications

et al. 2020

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Multi-phase permanent magnet motors are becoming popular in various applications such as high power traction which require low cogging and torque ripple, and reduced noise and vibration. This paper presents the development process of a full order detailed mathematical model for an unconventional nine-phase permanent magnet (PM) motor with asymmetric AC windings. The phase inductances are calculated based on the individual winding functions. Using these parameters, electrical equations for each phase based on the voltages and flux linkages are generated. These equations are transformed into an arbitrary reference frame and the torque equations are developed for the 9-phase motor. A Matlab-Simulink model is then developed for the proposed nine-phase PM motor based on the developed dynamic equations. Finally, the model is validated with the finite element analysis and laboratory testing of the prototype motor. It is shown that the developed mathematical model can be used for such complex asymmetric winding multi-phase PM motors.

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Section: Mathematical Modelling and Simulatons Of The Nine-phasementioning

confidence: 99%

Modeling and Experimental Verification of an Unconventional 9-Phase Asymmetric Winding PM Motor Dedicated to Electric Traction Applications

et al. 2020

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“…A further interesting research, related to the low-order harmonic utilisation in n-phase machines, was presented in [22], where a novel heuristic algorithm for symmetrical fractional slot concentrated winding multiphase PMSM design, which maximizes the output average torque under the current harmonic injection, was developed. A nine-phase interior PMSM is investigated in [23] utilising the 3 rd , 5 th and 7 th harmonic injections. Using the method of third harmonic current injection, developed in [10] for a five-phase PMSM, it was shown in [24] that the use of the third harmonic current in a nine-phase PMSM of a very specific construction, discussed shortly, enables ≈36% higher output torque while enabling a significant reduction of the permanent magnet material use in the machine.…”

Section: Introductionmentioning

confidence: 99%

General Torque Enhancement Approach for a Nine-Phase Surface PMSM With Built-In Fault Tolerance

Slunjski

Stiscia

Jones

et al. 2021

IEEE Trans. Ind. Electron.

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The paper investigates maximum possible torque improvement in a two-pole surface permanent magnet synchronous machine (PMSM) with a reduced magnet span, which causes production of highly nonsinusoidal back-EMF. It contains a high third and fifth harmonics, which can be used for the torque enhancement, using stator current harmonic injection. Optimal magnet span is studied first and it is shown that with such a value the machine would be able to develop an insignificantly lower maximum torque than with the full magnet span. Next, field-oriented control (FOC) algorithm, which considers all non-fundamental EMF components lower than the machine phase number, is devised. Using maximum-torque per Ampere (MTPA) principles, optimal ratios between fundamental and all other injected components are calculated and then used in the drive control. The output torque can be in this way increased up to 45% with respect to the one obtainable with fundamental current only. Alternatively, for the same load torque, stator current RMS value can be reduced by 45%. Last but not least, a method for position sensor fault mitigation is introduced. It is based on the alternative use of a back-EMF harmonic for rotor position estimation, instead of the torque enhancement. Experimental verification is provided throughout for all the relevant aspects.

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“…Regarding cases where symmetrical nine-phase machines have been in the focus for different applications, the following is a brief summary. Symmetrical induction machine was investigated in [9] for torque improvement using third harmonic current injection, while for the same purpose, a symmetrical interior PMSM machine was used in [10]. In [11], a symmetrical nine-phase machine was tested for high-speed elevator control, while design and optimization of a symmetrical nine-phase flux-switching PM generator for wind power systems was investigated in [12].…”

Section: Introductionmentioning

confidence: 99%

Symmetrical/Asymmetrical Winding Reconfiguration in Multiphase Machines

et al. 2020

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This paper investigates multiphase drives in which winding configuration (symmetrical or asymmetrical) can be easily obtained by only rearranging voltage source inverter (VSI) power supply cables at the machine's terminal box. The type of the machines where this is possible is identified and the examples of reconfiguration are given and explained. Following from the examples (for nine-and fifteen-phase cases), a general reconfiguration algorithm is introduced. As shown, changing asymmetrical to symmetrical winding configuration (and vice versa) means that just another mimic diagram needs to be placed over the existing one on the machine's terminal box. Possible reconfigurations of a six-phase machine, which do not follow the same pattern, are also addressed. Differences caused by different winding configuration are identified and experimentally confirmed using a nine-phase surface mounted permanent magnet synchronous machine (PMSM) and a nine-phase induction machine (IM).

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Modeling of nine-phase interior permanent magnet machines (IPM) including harmonic effects

Cited by 16 publications

References 10 publications

Modeling and Experimental Verification of an Unconventional 9-Phase Asymmetric Winding PM Motor Dedicated to Electric Traction Applications

Modeling and Experimental Verification of an Unconventional 9-Phase Asymmetric Winding PM Motor Dedicated to Electric Traction Applications

General Torque Enhancement Approach for a Nine-Phase Surface PMSM With Built-In Fault Tolerance

Symmetrical/Asymmetrical Winding Reconfiguration in Multiphase Machines

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