Torque ripple suppression of sensorless six-phase PMSM using harmonic voltage injection in vector space decomposition control


Vol. 26, No. 2, pp. 385-394, Feb. 2026
10.1007/s43236-025-01246-4




 Abstract

For the sensorless control of six-phase permanent magnet synchronous motors (PMSMs) without rotor position sensors, the harmonic voltage injection method is effective at low speeds and at standstill. However, this approach suffers from torque ripples caused by the harmonic currents induced by the injected harmonic voltage. This paper compares two HVI methods in the vector space decomposition (VSD) frame: the complementary harmonic voltage injection (HVI) method and the quadrature shift HVI method. The complementary HVI method injects two harmonic voltages with opposite phases into two three-phase windings, while the quadrature shift HVI method injects two harmonic voltages with a 90° phase shift into the harmonic subspaces of the VSD. In both cases, the induced harmonic currents due to the injected harmonic voltages appear only in the harmonic subspace that does not contribute to torque production. The rotor position estimation characteristics for both methods are validated and compared through MATLAB/Simulink simulations and experimental results obtained from a 1 kW six-phase PMSM.


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Cite this article

[IEEE Style]

S. Kim, M. Son, K. Cho, H. Kim, "Torque ripple suppression of sensorless six-phase PMSM using harmonic voltage injection in vector space decomposition control," Journal of Power Electronics, vol. 26, no. 2, pp. 385-394, 2026. DOI: 10.1007/s43236-025-01246-4.

[ACM Style]

Seong-Hoon Kim, Min-Seo Son, Kwan-Yuhl Cho, and Hag-Wone Kim. 2026. Torque ripple suppression of sensorless six-phase PMSM using harmonic voltage injection in vector space decomposition control. Journal of Power Electronics, 26, 2, (2026), 385-394. DOI: 10.1007/s43236-025-01246-4.