IEEE Electrification Magazine - December 2017 - 61

Conclusions
In this article, a static method of PMSMs identification has
been developed. The aim is to obtain the stator flux in a d-q
axis and torque for any electrical position and current level
by taking into account the magnetic saturation. Thanks to
this identification scheme, knowledge of the magnetic saturation level opens new perspectives for the failure diagnoses of PMSMs in future works, especially stator failures
and permanent-magnet aging. Starting from identified
flux and torque curves, optimal lookup tables are computed and implemented in a flux-weakening control strategy.
It consists of delivering an optimal setpoint, ^i d, i q h, by taking into account the magnetic saturation. The computation of these lookup tables is done offline and based on an
optimization algorithm under constraints, by optimizing
the torque and current levels for given ranges of speed and
power supply voltage. The result of the computation shows
the interest of nonlinear optimization to obtain more margins of torque despite magnetic saturation.

Acknowledgments
This work was supported in part by the expertise chair
"automatic control, modeling, signal, and image" of Safran
Electronics & Defense.

For Further Reading
S. Ekanayake, R. Dutta, M. F. Rahman, and D. Xiao, "Deep flux
weakening control of a segmented interior permanent magnet synchronous motor with maximum torque per voltage
control," in Proc. 41st Annu. Conf. IEEE Industrial Electronics Society, Yokohama, Japan, 2015, pp. 4802-4807.
S. Fang, Q. Liu, H. Lin, and S. L. Ho, "A novel flux-weakening
control strategy for permanent-magnet actuator of vacuum
circuit breaker," IEEE Trans. Ind. Electron., vol. 63, no. 4, pp. 2275-
2283, Apr. 2016.
X. Fang, T. Hu, F. Lin, and Z. Yang, "A novel flux-weakening
control method based on single current regulator for permanent magnet synchronous motor," in Proc. Int. Power Electronics
Conf., Hiroshima, Japan, 2014a, pp. 335-340.
X. Fang, F. Lin, and Z. Yang, "A modified flux-weakening
control method of PMSM based on the d-q current cross-coupling effect," in Proc. IEEE Conf. Expo Transportation Electrification
Asia-Pacific, Beijing, 2014b, pp. 1-6.
S. Halder, S. P. Srivastava, and P. Agarwal, "Flux weakening
control algorithm with MTPA control of PMSM drive," in Proc.
2014 IEEE 6th India Int. Conf. Power Electronics, Kurukshetra,
India, pp. 1-5.
K. Hayakawa, A. Matsumoto, and M. Hasegawa, "Control
performance improvement in feedback-type flux-weakening
control method using value of voltage saturation for
SynRMs," in Proc. 2016 18th European Conf. Power Electronics
Applications, Karlsruhe, Germany, pp. 1-7.
Y. Inoue, S. Morimoto, and M. Sanada, "Control method for
direct torque controlled PMSG in wind power generation system," in Proc. IEEE Int. Conf. Electric Machines Drives, Miami, FL,
2009, pp. 1231-1238.
K. Jang-Mok and S. Seung-Ki, "Speed control of interior
permanent magnet synchronous motor drive for the flux
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Z. Lei, W. Xuhui, Z. Feng, K. Liang, and Z. Baocang, "Deep
field-weakening control of PMSMs for both motion and

generation operation," in Proc. Int. Conf. Electrical Machines Systems, Beijing, 2011, pp. 1-5.
J. Lin, Q. Tu, X. Feng, and K. Duan, "An outer voltage-loop
flux-weakening control based on over-modulation of the permanent magnet synchronous motor," in Proc. 2015 Int. Conf.
Computer Science Mechanical Automation, Hangzhou, China,
pp. 285-291.
X. Longya, Z. Yuan, and G. Mustafa K, "A new method to
optimize q-axis voltage for deep flux weakening control of
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Int. Conf. Electrical Machines Systems, Wuhan, China, 2008,
pp. 2750-2754.
M. H. Matsumoto, M. Hasegawa, and S. Doki, "A flux-weakening control method on maximum torque control frame for
IPMSM position sensorless control," in Proc. 38th Annu. Conf.
IEEE Industrial Electronics Society, Montreal, Quebec, 2012,
pp. 1612-1617.
M. H. Matsumoto and M. Hasegawa, "A novel flux-weakening control method for robust position sensorless control
to magnetic saturation of IPMSMs," in Proc. 2016 18th European Conf. Power Electronics Applications, Karlsruhe, Germany,
pp. 1-8.
M. Miao and J. X. Shen, "Simulation and analysis of a variable speed permanent magnet synchronous generator with
flux weakening control," in Proc. 2012 Int. Conf. Renewable Energy Research Applications, Nagasaki, Japan, pp. 1-6.
S. Morimoto, M. Sanada, and Y. Takeda, "Wide-speed operation of interior permanent magnet synchronous motors
with high-performance current regulator," IEEE Trans. Ind.
Appl., vol. A21, no. 4, pp. 920-926, 1994.
Z. Pan, J. Zhao, F. Dong, W. Hu, S. Lu, and J. Song, "Current harmonic suppression in the fluxweakening control
based on resonant-2DOF PID controllers for permanent
magnet synchronous linear motor," in Proc. 2016 11th Int.
Conf. Ecological Vehicles Renewable Energies, Monte Carlo,
Monaco, pp. 1-6.
J. Piaton, G. Beggiora, and I. Zaed, "Procede de commande
d'une machine electrique synchrone a aimants permanents,
et dispositif electronique de commande associe," Patent WO
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pp. 1-4.

Biographies
Badr Mansouri (badr.mansouri@safrangroup.com) is with
Safran Electronics & Defense, Massy, France.
Jérôme Piaton (jerome.piaton@safrangroup.com) is with
Safran Electronics & Defense, Massy, France.
IEEE Elec trific ation Magazine / D EC EM BE R 2 0 1 7

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