Journal of Power Electronics, Vol. 17, No. 5, pp. 1223-1230, September 2017 1223
https://doi.org/10.6113/JPE.2017.17.5.1223
ISSN(Print): 1598-2092 / ISSN(Online): 2093-4718
JPE 17-5-10
Torque Ripple Reduction of an Interior PM
Synchronous Motor by Compensating Harmonic
Currents Based on Flux Linkage Harmonics
Myung Joon Nam
*
, Jong Hyun Kim
*
, Kwan-Yuhl Cho
†
, Hag-Wone Kim
*
, and Younghoon Cho
**
*,†
Department of Control and Instrumentation Engineering, Korea University of Transportation, Chungju, Korea
**
Department of Electrical Engineering, Konkuk University, Seoul, Korea
Abstract
The back emf harmonics of a permanent magnet (PM) synchronous motor is a major source of torque ripple. For torque
control applications including column fitted MDPS (motor driven power steering) systems, it is essential to reduce the
mechanical vibrations due to torque ripples at low speeds. In this paper, a torque ripple reduction algorithm for interior PM
synchronous motors is proposed. The harmonic currents that cancel the 6
th
order torque harmonic are added to the nominal dq
currents for MTPA (maximum torque per ampere) operation. The compensated harmonic currents are derived from flux linkage
harmonics based on a FFT analysis of the back emf harmonics. Simulation and experimental results verify that the 6
th
order
torque harmonic and THD of the torque ripple are reduced by compensating the dq harmonic currents.
Key words: Back emf harmonics, Flux linkage harmonics, MDPS, PMSM, Torque ripple
I. INTRODUCTION
For energy savings and the reduction of CO
2
emissions,
electric vehicles and hybrid electric vehicles are an issue
nowadays. In addition, some hydraulic controlled mechanical
systems have been replaced by electric motor driven systems,
such as power steering and brake systems. Compared with
hydraulic power steering system, MDPS (motor driven power
steering) has shown better fuel efficiency and better steering
feeling in addition to being more environment friendly
offering more space in the engine compartment due to the
reduced components [1], [2]. In small and middle size
vehicles, a column fitted type is normally used, where the
electric motor is mounted on the steering column. In MDPS
systems, the high torque capability, low torque pulsations,
and energy efficiency are the key factors. Therefore, brushed
DC motors have been replaced by PM synchronous motors.
In column fitted MDPS systems, very low mechanical
vibrations are required since the motors of such systems are
directly attached below the steering handle. Mechanical
vibrations are mainly generated by the torque ripples of the
PM synchronous motor so that reducing the torque ripples is
essential, especially in the applications of torque control such
as MDPS and in the main traction of electric vehicles. The
sources of torque ripples in PM synchronous motors are the
cogging torque, the offset of the current sensors, the
resolution of the rotor position sensors, and the interaction of
the back emf harmonics and the distorted current waveforms
due to dead-time and back emf harmonics. Many techniques
have been presented to reduce torque ripples [3]-[17], and
they can be categorized into two approaches. These
approaches are the motor structure approach and the motor
control approach. The motor structure approach focuses on
cogging torque reduction by the skewed rotor, the fractional
slots, increasing the air-gap, adding notches in the surface of
stator, and optimization of the stator teeth shape [3]-[5]. The
motor control approach deals with sensors for detecting the
current and rotor position, current waveforms, and back emf
harmonics. The offset of the measured currents in the current
sensors makes torque ripples with the fundamental frequency,
which can be removed by current offset compensation and
current sensor calibration [6]. In [7], an offset current
compensation to reduce the phase currents distortion caused
by switching device voltage drops and dead time is presented.
Manuscript received May 2, 2017; accepted Jun. 11, 2017
Recommended for publication by Associate Editor Kwang-Woon Lee.
†
Corresponding Author: kycho@ut.ac.kr
Tel: +82-43-841-5329, Fax: +82-43-841-5320, Korea Nat’l Univ. of Transportation
*
Department of Control & Instrumentation Engineering, Korea National
University of Transportation, Korea
**
Department of Electrical Engineering, Konkuk University, Korea
© 2017 KIPE