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International Journal of Mechanical Engineering and Technology (IJMET)
Volume 10, Issue 03, March 2019, pp. 1475–1482, Article ID: IJMET_10_03_149
Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=10&IType=3
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
CONTROL STRATEGY OF DUAL FED OPEN-
END WINDING PMSM DRIVE WITH FLOATING
BRIDGE CAPACITOR
A.S. Lutonin, A.Y. Shklyarskiy, Y.E. Shklyarskiy
Chair of General Electrotechnic, Saint-Petersburg Mining University, St. Petersburg, Russia
ABSTRACT
This paper proposes a control strategy of open winding permanent magnet
synchronous motor (OW PMSM) in field weakening modes. There are two inverters.
One of them connected to the traction battery. Main bridge inverter aimed to provide
power with approximately unity power factor, another one to capacitor. Floating bridge
inverter aimed to control capacitor voltage on desired value and provide reactive power
to the moto. Compare OW PMSM control system with conventional field-oriented
control (FOC) shows that proposed method helps to reach speed 1.41 times more than
FOC system. FOC system was simulated with 310V DC power supply. OW PMSM with
160V DC power supply and 500 nanofarad capacitor.
Key words: OWPMSM, OEWPMSM, SVPWM, Floating bridge, Permanent, magnet,
motor, MATLAB, capacitor
Cite this Article: A.S. Lutonin, A.Y. Shklyarskiy, Y.E. Shklyarskiy, Control Strategy
of Dual Fed Open-End Winding PMSM Drive with Floating Bridge Capacitor,
International Journal of Mechanical Engineering and Technology 10(3), 2019, pp.
1475–1482.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=10&IType=3
1. INTRODUCTION
PMSM motor is widely used in traction applications because of its best mass/dimensional ratio
parameters, high efficiency [1,2]. However, one of the main PMSM motors’ problem is rapid
torque decreasing while working in high-speed area. In [3-5] paper, special control algorithms
to control PMSM motor in field weakening mode were proposed. In [6] L.Chu, et al compared
maximum speed dependency on stator winding connection type. Trends showed maximum
speed increasing ability with open winding connection mode with flux weakening control
algorithms. In paper [7] OW-PMSM with five leg inverters with five leg secondary inverter
were presented. In [8] comparing different topologies of OWPMSM motor were presented.
Topologies with single power source and with two different power sources with equal voltages
is the most acceptable for flux weakening operation. Paper [9] presents topology of OWPMSM
motor with two inverters with independent power sources, where algorithms of power sharing
between independent sources were presented. Paper [10] describes algorithms of OWPMSM
control with electrolytic capacitor connection on the secondary inverter’s power side. Research
Control Strategy of Dual Fed Open-End Winding PMSM Drive with Floating Bridge Capacitor
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results shows that capacitor helps to reduce back-EMF of PMSM motor and increase its
maximum operation speed value.
This paper represents OWPMSM topology two inverters with DC-source in
one side and floating capacitor on the other side coupled to powertrain in order to get
presented topology’s dynamic performance.
2. OWPMSM MOTOR MODEL
Figure 1. OWPMSM motor equivalent circuit
Equivalent circuit of OWPMSM showed on Fig.1. Generally, there is no difference with
PMSM with stator star secondary winding connection. PMSM motor equations are given by:
f
fr
d
q
dsqr
drqs
d
q
i
i
LRL
LLR
V
V

(1)
where
d
V
– d-axis voltage;
q
V
– q-axis voltage;
s
R
– stator resistance;
d
L
– d-axis self-
inductance;
q
L
– q-axis self-inductance;
r
– electrical speed;
f
– PM flux linkage or Field
flux linkage;
– derivative operator;
– d-axis current;
q
i
– q-axis current.
Motor torque can be calculated as
dqqde ii
P
T
22
3
(2)
where
e
T
– develop torque;
P
– pole number
d
–d axis flux linkage;
q
– q axis flux
linkage;
Mechanical torque equation is:
dt
d
JBTT m
mLe
(3)
where
L
T
– load torque;
B
– friction coefficient
m
–mechanical rotor speed;
J
– inertia;
Equation to convert currents from rotating to stationary axis are following:
m
q
dI
a
a
i
i
cos
sin
(4)
where
m
I
– supply current peak value.
a
angle can be found from:
A.S. Lutonin, A.Y. Shklyarskiy, Y.E. Shklyarskiy
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d
q
i
i
Tana 1
(5)
Peak current value can be found from:
22 qdm iiI
(6)
3. OWPMSM FED BY TWO INVERTERS WITH INDEPENDENT
POWER SOURCES
On Fig.2 OWPMSM topology with two independent sources is presented. Topology consist of
12 IGBT switches, two equal batteries and PMSM motor.
VSC
OWPMSM
motor
VSC
DQ to
ABC
Udqm to Udq1,
Udq2
Ud1
Өe
ABC to
DQ iabc
m2abc
Udm
PI
PI
Idm
Iqm
PDFB
PI
Uqm
Idm
Iqm
Iqm
Idm
Udc
Ucap
DQ to
ABC
Ud1
Өe
Ucap
Figure 2. OWPMSM control system
This control topology consists of the following blocks:
Speed, dq current and capacitor voltage PI regulators
Udq1 and Udq2 block estimator
double SVPWM converters
According to [14] control dq voltages for Main and floating bridge can be described by
following equations:
Qcapaqq vvv 11
(7)
Dcapadd vvv 11
(8)
Qcapqmqq vvvv 12
(9)
Dcapdmdd vvvv 12
(10)
Where
1,1 dq vv
- is control voltages for Main bridge inverter;
2,2 dq vv
- is control voltages for
Floating bridge inverter;
adaq vv 1,1
are active vectors for Main Bridge (unity power factor);
DcapQcap vv ,
are voltage components to control capacitor’s charge level;
dmqm vv ,
- voltage vectors
after PI regulators. Described above elements can be found by:
m
qD
aq I
iP
v3
2
1
(11)
Control Strategy of Dual Fed Open-End Winding PMSM Drive with Floating Bridge Capacitor
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m
dD
ad I
iP
v3
2
1
(12)
m
qDFB
Qcap I
iP
v3
2
(13)
m
dDFB
Dcap I
iP
v3
2
(14)
Qcapaqq vvv 11
(15)
Dcapadd vvv 11
(16)
Qcapqmqq vvvv 12
(17)
Dcapdmdd vvvv 12
(18)
ddmqqmDivivP 2
3
(19)
Where
D
P
- is power demand for Main bridge inverter;
dq ii ,
measured stator currents after
Park transformation;
1,1 dq vv
are sum vectors for Main Bridge inverter;
2,2 dq vv
are sum vectors
for floating bridge inverter;
According to [11]
refd
i,
can be described as:
22
,qMAXrefd IIi
(20)
Control system aimed to generate unity power factor from Main inverter and fully reactive
power from floating bridge inverter. Vector diagram of this process showed of fig. according
to [12]:
Figure 3. OWPMSM vector diagram
A.S. Lutonin, A.Y. Shklyarskiy, Y.E. Shklyarskiy
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4. SIMULATIONS
Simulations were made by Matlab/Simulink software. There are two main blocks: Controller
algorithm, Motor, and Load. More detailed view of these blocks are on fig 4, fig 5.
Figure 4. System model overview
Figure 5. System model overview
OWPMSM motor was designed by using Simscape language according to (1)-(6) equations.
Other electrical elements are Simscape power system pre-assigned components. Motor
parameters are following [13]:
Table 1. PMSM motor parameters
Machine type
SPMSM
Rated motor voltage
310 V
Rated motor current
15 A
Rated motor speed
150 rad/sec
Number of pole pairs
4
q-axis inductance
0.01557 H
d-axis inductance
0.01557 H