Comparative Study of 6/4 FSPM and SPM Machine
for High-Speed Applications
Mingda Liu, William Sixel, and Bulent Sarlioglu
Wisconsin Electric Machines and Power Electronics Consortium (WEMPEC)
Dept. of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI 53706
sarlioglu@wisc.edu
Abstract – The surface permanent magnet (SPM) and flux-
switching permanent magnet (FSPM) machines are good
candidates for high power density and high-speed applications.
The SPM and FSPM machines share several similarities such
as negligible reluctance torque and high equivalent air gap
length. This paper gives a comprehensive comparison on the
design of an eight pole SPM and a dual-stator 6/4 FSPM at two
different design speeds. The choice and characteristics of
magnet retaining sleeves in the SPM machine such as material,
thickness, and loss at different speeds are discussed. Depending
on the choice of the sleeve, the SPM machine can have severe
thermal issues at the high-speed conditions due to either eddy
current losses in the sleeve and magnet or low thermal
conductivity of the sleeve material. In contrast, the dual-stator
6/4 FSPM machine can operate at high speeds easily because
there is no magnet or retaining sleeve in the rotor.
I. INTRODUCTION
High-speed permanent magnet machines have been
investigated in a wide range of applications because of their
higher efficiency, higher power density, and more compact
size compared to induction machines [1]-[4]. The flux-
switching permanent magnet (FSPM) machine is an
attractive machine topology because of its unique features
such as robust rotor structure and easy thermal management
[5]-[7]. In reference [8], a 6-slot 4-pole (6/4) FSPM machine
with dual-stator geometry is proposed. Compared to the
most commonly seen 12/10 FSPM machine, the 6/4 FSPM
machine reduces the fundamental frequency by 60%, which
makes the 6/4 FSPM machine more suitable for high-speed
applications. The FSPM machine and SPM machine share
several similarities such as negligible machine saliency and
large equivalent air gap in the machine magnetic circuit. By
developing a quantitative comparison between FSPM and
SPM machine, the differences in the machine performance
can be used to guide their selection in various high-speed
applications.
Interior permanent magnet (IPM) machines are not widely
used in very high-speed applications because of the
structural sizing of the iron bridge in the rotor cavity
between the permanent magnets [9]. Surface permanent
magnet (SPM) machines use a retaining sleeve over the
permanent magnets to protect the magnets from flying apart.
With high strength sleeve material, the SPM machine is able
to achieve more than 200 m/s tip speed [9]. However, in the
SPM and IPM machines, the magnets are more thermally
isolated from the stator cooling structure and the cooling of
the magnets can be difficult [10]-[12]. Conventional cooling
strategies such as stator water jacket and shaft-mounted fan
are either thermally far away from the rotor or have limited
heat rejection capability, respectively. In contrast, the FSPM
machine has most of the loss components in the stator, which
have short thermal paths to the heat sink.
Several papers have presented comparisons between the
SPM and FSPM machine [13]-[15] for different topologies
and performance characteristics. It is shown that the FSPM
machine has a higher air gap flux density due to flux
focusing effect and less mechanical issues in the rotor
compared to the SPM machine. However, the comparisons
are limited to only electromagnetic performance. The
structural and thermal issues are not typically addressed. In
addition, the machine fundamental frequency is not always
kept constant for a fair comparison. In references [16], [17],
FSPM machine is compared with SPM machine at high-
speed conditions. It is shown that the SPM machine flux
linkage has a 33% reduction due to the thick retaining sleeve.
The structural aspect is investigated in both papers.
However, the rotor heating issue due to the retaining sleeve
and magnet eddy current losses is not discussed. In addition,
existing papers focus on the 12/10 FSPM machine or other
high pole topologies, which is not preferable for high-speed
applications due to the high fundamental frequency.
This paper presents a comprehensive comparison between
6/4 FSPM machine and 8-pole SPM machine in terms of
electromagnetic performance and thermal behavior at high-
speed conditions. Section II presents the design of the FSPM
and SPM machine. The characterizations of the magnet
retaining sleeve at different rotation speeds are also
presented. The electromagnetic performance of the FSPM
machine and the SPM machine are shown and compared in
Section III. Section IV compares the thermal behavior of the
FSPM machine and SPM machine. A discussion on the
comparison of the FSPM and SPM machine is given in
Section V. The conclusions are drawn in Section VI.
II. DESIGN PARAMETERS OF 6/4 FSPM MACHINE AND
SPM MACHINE UNDER COMPARISON
In reference [8], a 10 kW, 15 krpm 6/4 FSPM machine
with NdFeB magnet is designed. With the dual-stator
structure as shown in Fig. 1, there are negligible even
harmonics in the flux linkage and back EMF which is a
severe issue in the conventional 6/4 FSPM topology. The
machine sizing and operating parameters are given in Table
I. An SPM machine is designed with the same output power
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