6624 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 12, DECEMBER 2014
Sensorless Control for SPMSM With Concentrated
Windings Using Multisignal Injection Method
Zhe Chen, Jianbo Gao, Fengxiang Wang, Zhixun Ma, Zhenbin Zhang, and
Ralph Kennel, Senior Member, IEEE
Abstract—Surface-mounted permanent magnet synchronous
machine with concentrated windings (cwSPMSM) is a high-
performance drive machine and has been adopted in many appli-
cations. The difficulty of implementing its sensorless control at low
and zero speeds is its multiple saliencies, which is much more sig-
nificant than most other ac machines. The traditional decoupling
methods provide successful results only under the condition that
high-order saliencies are not stronger than half of the primary
saliency. Furthermore, the behavior of the multiple saliencies is
principally frequency dependent. Based on the characteristics of
such machines, this paper proposes a multisignal injection method
for realizing sensorless control. This method injects multiple high-
frequency signals with different frequencies and magnitudes into
the machine. Different frequency components in the response
current signals are demodulated and then combined together to
get the clear primary saliency signal, which is used to identify the
rotor position. This new method was validated using a cwSPMSM
at low speed. The experimental results proved the effectiveness and
accuracy of the new method.
Index Terms—Multisignal injection, sensorless control, surface-
mounted permanent magnet synchronous machine with concen-
trated windings (cwSPMSM).
I. I NTRODUCTION
C
ONCENTRATED-WINDING surface-mounted perma-
nent magnet synchronous machine (cwSPMSM) has been
receiving increasing attention over the past decade because
it has lower production costs, higher feasibility, and more
compact designs than the machines with distributed windings
[1]. In the applications of electric and hybrid vehicles, these
type of machines are adopted to realize shorter motor length
and higher efficiency [2]. The cwSPMSM has a drawback: con-
siderable torque ripple. Fortunately, the development of magnet
materials and machine design technologies can relieve this
problem [3], [4]. It is therefore foreseen that cwSPMSM will
find more applications in wind energy generators [5], [6] and
the automotive industry [7]. Sensorless control for cwSPMSM
can make this type of drive even more competitive. In particular,
at low and zero speeds, saliency-based sensorless methods, e.g.,
Manuscript received October 24, 2013; revised January 14, 2014; accepted
March 11, 2014. Date of publication April 9, 2014; date of current version
September 12, 2014. This work was supported by Deutsche Forschungsge-
meinschaft under Grant KE 817/28-1 and the Chinese Scholarship Council.
(Corresponding author: F. Wang.)
The authors are with the Institute for Electrical Drive Systems and Power
Electronics, Technische Universität München, 80333 Munich, Germany (e-mail:
zhe.chen@tum.de; micheal.gao@tum.de; fengxiang.wang1982@gmail.com;
mzhixun@gmail.com; james.cheung@tum.de; ralph.kennel@tum.de).
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TIE.2014.2316257
switching transient or carrier signal injection [8], have been
widely adopted in electrical drives.
However, for this machine type, sensorless control still faces
some challenges [9]. Experiment results of a cwSPMSM, us-
ing the high-frequency (HF) injection method, illustrate two
significant characteristics that bring great challenges to the
researchers for sensorless control. First, because of the smooth
rotor structure as normal SPMSM, the machines have very
weak inductive saliencies [10], on which many sensorless con-
trol technologies are based. Second, evoked by their special
winding structures, the machines show strong multiple salien-
cies [11], which cause strong torque ripples if traditional sen-
sorless control technologies are applied. Due to these problems,
particularly the latter one, no sensorless control methods have
been realized yet in practical applications for a commercial
cwSPMSM.
The characteristic of multiple saliencies is common in all
ac machines, either in induction machines [12], [13] or in
PMSMs [14]. A very interesting work was published in 2011 to
study the principle of multiple saliencies phenomena in PMSM
[15]. This work confirmed that the higher order saliencies were
evoked by the zigzag leakage [16] of the rotor flux in the
stator teeth. This effect is more significant in machines with
concentrated windings than those with distributed windings.
This is a structure-induced effect and has no relationship to load
conditions.
Fortunately, some remarkable work has been done during
recent years concerning multiple saliencies for different ma-
chine types. This provides important supports for cwSPMSM
to be applied in practice. In 1998, the characteristics of multiple
saliencies in induction machines were reported in [17]. In this
study, sensorless control was realized for an induction ma-
chine using the decoupling method, where higher orders of the
saliencies were decoupled from the fundamental saliency to ob-
serve the rotor position. Another attempt using the decoupling
method was done in 2008 with an interior PMSM [18], where
the higher order saliencies were emerging only under load
conditions. Other work has been also investigated to deal with
multiple saliencies for sensorless control, not only for synchro-
nous machines [19] but also for induction machines [20], [21].
Summarizing the available literature, it is seen that all of
these studies were focused on the decoupling idea, where the
higher order saliencies were compensated, i.e., removed from
the estimation loop. This concept is effective if the higher order
saliencies are weaker compared with the fundamental saliency
[17], [21]. However, if their magnitudes are larger than half
of the primary saliency, these methods fail to decouple [11].
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