第 30 卷 第 36 期 中 国 电 机 工 程 学 报 Vol.30 No.36 Dec.25, 2010
2010 年 12 月 25 日 Proceedings of the CSEE ©2010 Chin.Soc.for Elec.Eng. 7
文章编号:0258-8013 (2010) 36-0007-09 中图分类号:TM 31 文献标志码:A 学科分类号:470⋅40
混合动力车用混合励磁爪极皮带式起动发电机
多领域仿真分析
李维亚,黄苏融,张琪
(上海大学机电工程与自动化学院,上海市 闸北区 200072)
Multi-domain Simulation Analysis of A Hybrid Excitation Claw-pole Belt-alternator
Starter Generator for Hybrid Electrical Vehicles
LI Weiya, HUANG Surong, ZHANG Qi
(College of Mechatronics Engineering and Automation, Shanghai University, Zhabei Distrct, Shanghai 200072, China)
ABSTRACT : The traditional claw-pole machine control
air-gap flux to transmit stable output voltage to batteries by
regulation excitation current, which has disadvantages such as
lower output capacity and inefficiency caused by leakage flux.
It doesn’t meet the current requirements of hybrid vehicle
power supply. A hybrid excitation claw-pole belt-starter-
generator (BSG) machine for 42 V power supply system hybrid
electric vehicles (HEVs) has been created. Through permanent
magnets inserted among claws, this kind of generator can
reduce the leakage between the claw-poles, increase machine
power density and output capacity under low speed. This paper
will use magnetic circuit and three-dimension finite element
methods to analyze the structure and principles of BSG. The
multi-domain simulation methods include mechanism,
vibration modal and thermotics to solve the analysis of
high-density machine ultimate capacity and optimization. The
simulation results have showed that with high starting torque in
starter mode, the machine can constantly provide output
voltage at wide speed range for batteries charging in generator
mode. Experimental results of prototype confirm the theoretical
analysis and simulation conclusion. The prototype has
advantages such as low leakage, large output capacity and hard
output characteristics, which has broad application prospect for
hybrid electrical vehicles.
KEY WORDS : hybrid excitation; belt-alternator starter
generator (BSG); hybrid electrical vehicles (HEVs);
three-dimension finite element; multi-domain simulation
摘要:传统爪极电机通过调节励磁电流控制气隙磁通,用以
满足变负载运行时恒压向蓄电池供电,但由于漏磁大,导致
基金项目:863 节能与新能源汽车重大项目(2008AA11A108,
2008AA11A109)。
The Energy and New Energy Vehicles of 863 Program
(2008AA11A108, 2008AA11A109).
输出能力小、效率低等缺点,满足不了目前混合动力汽车供
电要求。该文设计了一种 42 V 供电系统混合动车用混合励
磁爪极皮带式起动发电机(belt-starter-generator,BSG),通过
在爪极间镶嵌磁钢来减小爪极间漏磁,提高电机功率密度和
低速输出能力。采用磁路法和三维有限元法分析了 BSG 电
机结构及其原理,基于机械、模态和热工多领域综合仿真分
析
解决高密度电机极限能力分析与优化设计。仿真分析
得出样机在电动模式下,可以获得起动转矩起动引擎,在发
电模式下,可以在宽速度变化范围内输出恒定的电压向蓄电
池供电。实验数据和三维有限元计算结果与理论分析一致,
样机具有漏磁低、输出能力大、输出特性硬等优点,该电机
的设计在混合动力汽车中具有广泛的应用前景。
关键词:混合励磁;皮带式起动发电机;混合动力汽车;三
维有限元;多领域仿真
0 INTRODUCTION
Under the growing concern on environmental
protection and energy conservation, the development
of hybrid electric vehicles (HEVs) has taken on an
accelerated pace [1]. As one of the core parts of HEVs,
the generator is required to pursue perfect
performance and high efficiency. Rather than the
separated starter generator in the conventional
automotive electrical system, the concept of the
Belt-alternator Starter Generator (BSG), namely, the
functions of both the starting engine and generating
electric power are fulfilled by one electrical machine
in an onboard vehicle system, which has been
becoming more and more popular in modern auto
industry [2-4]. Valeo has developed the first
generation of “Stop-Start” system with 14 V power
8 中 国 电 机 工 程 学 报 第 30 卷
supply system, which has 2.5 kW output power [5].
With the wide application of ventilation,
air-conditioning, anti-lock braking system, electronic
ignition device, automobile safety fault diagnosis
system, information systems, entertainment products,
etc., auto electric power requirement has rapidly
increased to 1.5~3 kW. Due to its high space usage,
compact structure, low cost and excellent regulated
performance, the traditional claw-pole generator has
become the mainstream product within automotive
generators. Nevertheless, its further development will
confront with the challenges of leakage flux, noise,
inefficiency and poor output performance. So it is
important to develop a hybrid excitation claw-pole
generator with highdensity, highspeed and
highefficiency.
GM companies have proposed a hybrid
excitation claw-pole generator structure for vehicles
[6], and some researchers have comparatively studied
on the claw-pole electrical machine with different
structures such as CCPM, PMCPM [7] and outer rotor
structure[8]. The permanent magnet claw-pole
synchronous machine is used for direct-driven wind
power applications [9]. The 3D FEA method is used in
[10] to analyze superconducting claw motor, and the
circuit coupled simulation method is used in [11] to
research a temporary linearization claw-pole model.
In order to reduce computing time, the improved
equivalent magnetic circuit is used for analyzing the
claw-pole machine [12]. With the development of
SMC (soft magnetic composite) materials, the
claw-pole external rotor PMSM has been designed to
reduce eddy current loss [13]. A magnetic circuit
structure of the series hybrid excitation claw-pole
generator mentioned in [14] minimizes the leakage
flux when p=2; while the reducing number of
pole-pairs increases the claws’ weight, and makes
claws enlarged, which results in rotor-stator friction in
high speed. [15] gives the inductance calculation
methods of the hybrid excitation claw-pole motor.
The modern design concept of high-density
motor is integrated with electricity, magnetism,
mechanics, thermal, structure, power electronics and
control strategy [16]. This paper lays emphasis on
bypass magnetic path structure, and discusses the
principles of bypass magnetic path, the computation
of three-dimension finite element and the test of
prototype, which verifies the correctness of relevant
theories. Multi-domain simulations include accurate
computation and design improvement in mechanical,
vibration modal and thermodynamic characteristics,
which keep machines safe. This concept is newly
extended to the BSG and a new type of vehicle bypass
hybrid excitation claw-pole BSG from the engineering
perspective is designed accordingly. It not only
overcomes the drawbacks of machines mentioned
above, but also meets many rigorous requirements of
the BSG system.
1 MECHANICAL STRUCTURE
Fig.1 shows that the structure of bypass hybrid
excitation claw-pole generator includes stator, rotor,
shaft, bearing, permanent magnets, carbon brushes
and rectifier circuit. The stator consists of armature
coils (5) and stator core (6); the rotor is composed of
rotor iron core (1), excitation coils (4), permanent
magnet (3) and the magnets mounted between the
claws; and chassis and cover are both made by
non-magnetic materials. The design adopts
water-cooled structure (12).
12
2
1 4 10
11
3
(a) Flat structure
7 6 5432189
(b) Simulation of three-dimensional structure
图 1 混合励磁BSG电机结构
Fig. 1 Structure of bypass hybrid excitation
claw-pole BSG
第 36 期 李维亚等:混合动力车用混合励磁爪极皮带式起动发电机多领域仿真分析 9
In order to reduce product cost, the rotor is
made of 08F low-carbon steel; the stator is made of 50
silicon steel; and the shaft is made of 45# steel. The
leakage flux hinders the improvement of claw-pole
generator, therefore, the reduction of leakage flux in a
claw-pole magnetic generator is beneficial to output
performance and efficiency improvement. As the
claw-pole motor always operates under high
temperature environment, N35SH permanent magnet
with high-temperature resistance is selected. This
permanent magnet owns the advantages of excellent
magnetic properties, uniform magnetization, sufficient
utilization ratio and anti-demagnetization. The bypass
hybrid excitation claw-pole motor has similar
manufacturing process with the conventional
claw-pole motor, but more practical.
2 BYPASS STRUCTURE CONCEPT
AND ANALYSIS
Fig.2 displays the magnetic paths of bypass
hybrid excitation machines. The main magnetic path
consists of permanent magnetic path and excitation
magnetic path, which forms the hybrid excitations
bypass structure.
S
N
N
S
N
S
(a) Permanent magnet path (b) Electrical excitation magnetic path
图 2 混合励磁磁路图
Fig. 2 Claw-pole magnetic paths analysis
The voltage equation of hybrid excitation claw
pole motor can be described as follows (Appendix 1):
a a a a
b b b b
c c c c
0 0
d0 0
d
0 0
u r i
u r i
t
u r i
ψ
ψ
ψ
⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥= +⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥⎣ ⎦ ⎣ ⎦ ⎣ ⎦ ⎣ ⎦
(1)
Hybrid excitation flux linkage can be expressed as:
a aa ab ac a ma
b ba bb bc b mb
c ca cb cc c mc
L L L i
L L L i
L L L i
ψ ψ
ψ ψ
ψ ψ
⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥= +⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥⎣ ⎦ ⎣ ⎦ ⎣ ⎦ ⎣ ⎦
(2)
No-load hybrid excitation flux linkage is:
pma f afma
mb pmb f bf
mc pmc f cf
i L
i L
i L
⎡ ⎤+⎡ ⎤ ⎢ ⎥⎢ ⎥ = +⎢ ⎥⎢ ⎥ ⎢ ⎥+⎣ ⎦ ⎣ ⎦
ψψ
ψ ψ
ψ ψ
(3)
No-load back EMF in Phase A is:
A ma gd / de t KN Bψ ω= = (4)
In terms of the situation of single-phase power and
steady state for hybrid excitation claw-pole machine,
the terminal voltage U meets 1 AU K e= . Therefore,
when the supply voltage is constant, there is a limit
for the speed ωmax of the machine.
1 max gU KK NBω= (5)
In starter mode, maxω plays inverse ratio to Bg.
When the reverse excitation is applied, the motor’s
air-gap flux density decreases and the maximum speed
increases, which is broadening the range of motor
speed. In generator mode, the output voltage is in
direct ratio to the air-gap flux density. Output voltage
regulation is controlled by the air-gap flux density.
To research the flux regulation capability of the
hybrid excitation claw-pole machine, the flux
regulation formula is defined as:
t f pm pmk= + =Φ Φ Φ Φ (6)
tΦ is the total excitation flux linkage in the
armature windings; fΦ is the excitation flux linkage
generated by field windings, and pmΦ is the
excitation flux linkage yielded by magnets.
Considering insulation, temperature and leakage flux,
the regulation factor k is between 0~3.5 in average. In
the case of 0, the air-gap flux generated by magnets is
totally offset by the field current. Taking the example
of 2, the air-gap flux is strengthened.
Due to a longer and complicated magnetic path,
the amount of leakage flux between claws is
comparatively more than other leakages, which can be
reduced by optimizing the size of the claw-pole
machine.
Fig.3 (Appendix 2) shows the claw-pole machine
magnetic path. Bypass structure is used to block the
leakage magnet flux, where G is called diverging
point of bypass flux. When Fe≥FG (the Fig.3), the
machine stays in the state of increasing magnet. The
main flux of permanent magnet, which goes through
10 中 国 电 机 工 程 学 报 第 30 卷
G, and flows into the stator, will convert into an
effective magnet flux. Thus the leakage flux along the
rotor-yoke loop can be reduced, and the machine
output can be promoted. When Fe
表 1 主要设计数据
Tab. 1 Key design data
Rated power(4 000 r/min generator) 12V×190A
Rated power(6 000 r/min generator) 49.5V×90A
DC-link voltage/V 42
Max stall torque/(N·m) 60
Stator outside diameter/mm 128
Stator length/mm 33
Rotor outside diameter/mm 96.7
PM dimensions/mm 32×7×8
PM remanence flux density/T 1.2
3.2 Three-Dimensional Finite Element
Simulation
Fig.5 (a) shows the air-gap flux density and
rotor-stator flux density at Fe=−550 A·N. The average
magnetic density value in air gap is Bav=0.07 T, the
maximum of rotor and stator yoke magnetic density
values are Brc-max=1.20 T and Bsc-max=1.20 T
respectively. Hence, with the bypass structure, the
electrical excitation propels permanent magnet
leakage flowing from division G to the rotor, which
will add the leakage flux and lower the magnet
density of stator and EMF, and thus makes
demagnetization come into realization.
Fig.5 (b) presents the air-gap magnetic density
and the rotor-stator magnetic density at Fe=0 A·N. The
average magnetic density value in the air gap is
第 36 期 李维亚等:混合动力车用混合励磁爪极皮带式起动发电机多领域仿真分析 11
Bav=0.14 T, the maximum of rotor and stator yoke
magnetic density values are Brc-max=1.10 T and
Bsc-max=0.30 T respectively. If there is no electrical
excitation, the leakage flux from rotor will form a
loop. By means of three-dimensional magnet net, 32%
magnetic flux generated by permanent magnets can go
through the stator, and 68% going through the rotor
can form leakage flux.
Fig.5(c) indicates the air-gap magnetic density and
rotor-stator magnetic density at Fe=550 A⋅N. The
average magnetic density value in the air gap is
Bav=0.46 T, and the maximum of rotor and stator yoke
magnetic density values are Brc-max=1.02 T and
Bsc-max=1.25 T respectively. The electrical excitation
drives the permanent magnet leakage flux to flow from
G to the stator, which reduces the leakage flux,
increases EMF and the magnetic density of stator and
strengthens magnetization. In order to analyze
regulating magnet field range and capability, regulating
range coefficient of flux is defined as variation α:
av av0 av0( ) / 100%B B Bα = − × (10)
Bav is the average air-gap flux density value
under hybrid excitation, while Bav0 is the average
air-gap magnet density value under no electrical
excitation. When the electrical excitation changes
from −550 to 550 A·N, the machine flux regulation
will accordingly ranges from −50% to 228.5%.
A
ir
ga
p
flu
x
de
ns
ity
/T
Normalized distance 0.0
0.4
0.8
0.0
0.2
−0.2
0 −10 −20
10
20
Axial length/mm
0.0
0.1
−0.1
−0.2
B/T
1.5838e−001
2.5085e−001
1.9932e−001
3.9730e−001
3.1569e−001
5.0000e−001
6.2925e−001
7.9191e−001
9.9662e−001
1.2542
1.5785
1.9865
2.5000
1.2585e−001
1.0000e−001
(a) Fe =−550 A·N
A
ir
ga
p
flu
x
de
ns
ity
/T
Normalized distance0.0
0.4
0.8
0.0
0.4
−0.4
0 −10−20
10
20
Axial length/mm
0.0
0.2
−0.2
B/T
1.5838e−001
2.5085e−001
1.9932e−001
3.9730e−001
3.1569e−001
5.0000e−001
6.2925e−001
7.9191e−001
9.9662e−001
1.2542
1.5785
1.9865
2.5000
1.2585e−001
1.0000e−001
(b) Fe=0 A·N
A
ir
ga
p
flu
x
de
ns
ity
/T
Normalized distance0.0
0.4
0.8
0.0
0.1
−0.1
0 −10−20
10
20
Axial length/mm
0.0
0.4
−0.4
B/T
1.5838e−001
2.5085e−001
1.9932e−001
3.9730e−001
3.1569e−001
5.0000e−001
6.2925e−001
7.9191e−001
9.9662e−001
1.2542
1.5785
1.9865
2.5000
1.2585e−001
1.0000e−001
(c) Fe =550 A·N
图 5 不同励磁磁势下气隙、转定子磁密图
Fig. 5 Map of air-gap and rotor-stator flux density under
different excitation conditions
3.3 SIMULATION RESULTS
Fig.6 exhibits the electromagnetic simulation
characteristics. Fig.6 (a) reveals that the hybrid
excitation is consisted of PM flux linkage and
electrical excitation flux linkage, so the proportion of
PM and electrical excitation can be reduced. Fig.6 (b)
and Fig.6 (c) demonstrate three-phase fluxes and
12 中 国 电 机 工 程 学 报 第 30 卷
three-phase back-EMF under 4 000 r/min and no-load
conditions. Thanks t Fig.6 (d) displays the torque
under 2 000 r/min and different electrical excitation
conditions.
0.00 1.00 2.00
t/ms
Fl
ux
li
nk
ag
e/
w
b
0.000
0.010
−0.010
Hybrid excitation flux linkage
magnet flux linkage
elctrical excitation flux linkage
(a) Complex fluxes
−0.015
−0.005
0.005
0.015
0 1 2
t/ms
Th
re
e-
ph
as
e
flu
x
lin
ka
ge
/W
b
(b) Three-phase flux linkage
−30
−10
10
30
0 1 2
t/ms
Th
re
e-
ph
as
e
ba
ck
-E
M
F/
V
(c) Three-phase back-EMF at 4 000 r/min
0 6 12
6
10
14
18
22
1A
2A
3A
t/ms
T/
(N
·m
)
(d) Torque under 2 000 r/min and different electrical excitation
图 6 电磁仿真结果
Fig. 6 Electromagnetic simulation results
4 SAFE MULTI-DOMAIN SIMULATION
4.1 Analysis of The Claw-Pole Machine
Mechanical Simulation In High Speed
Since the hybrid excitation claw-pole BSG
machine is an important component of automobile
generators, mechanical strength and shape variables at
the high speed of 20 000 r/min are simulated to ensure
electrical safety. Fig.7 provides the simulation results
at 20 000 r/min: the maximum value of suffer-press in
rotor-bottom is 398 MPa, and deformation in rotor-top
is 0.231 mm. The length of air gap is 0.5 mm, which
can maintain the safety .
.885e+08
.443e+08
.177e+09
.133e+09
.266e+09
.221e+09
.354e+09
.310e+09 .398e+09
(a) 20 000 r/min suffer stress distribution
.512e+04
.256e+04
.102e+03
.769e+04
.154e+03
.128e+03
.205e+03
.179e+03 .231e+03
(b) 20 000 r/min deformation
图 7 机械仿真应力、形变图
Fig. 7 Diagrams of suffer stress distribution and
deformation
4.2 Calculation of The Stator’s Natural
Frequency
According to Fig.8, when the model order is 0, the
machine noise is brought about by stator expansion
vibration. As the zero-order vibration frequencies are
relatively high, it involves the calculation of actual
analysis of 2, 3 order the natural frequency of vibration
mode. Both the finite element natural frequency and
vibration of motor modal analysis reveal that the lowest
second-order natural frequency is 1 659 Hz. The datum
is far more than the range of machine speed, which
can avoid systematic resonance.
4.3 Thermal Simulation In The Rated Working
Point
The thermal simulation of the machine not only
第 36 期 李维亚等:混合动力车用混合励磁爪极皮带式起动发电机多领域仿真分析 13
contributes to choose the insulation material of machine
winding and check the temperature of the working
point, but also supports the cooling system design of
high-density machine v