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Energies 2014, 7(12), 8036-8055; doi:10.3390/en7128036

PID Controller Design for UPS Three-Phase Inverters Considering Magnetic Coupling

1
State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, Hubei, China
2
Guangdong Zhicheng Champion Co., Dongguan 523718, Guangdong, China
*
Author to whom correspondence should be addressed.
Received: 4 September 2014 / Revised: 16 November 2014 / Accepted: 25 November 2014 / Published: 28 November 2014
(This article belongs to the Special Issue Electrical Power and Energy Systems for Transportation Applications)
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Abstract

In three-phase inverters used in uninterruptible power supplies (UPSs), three-limb inductors and three-limb transformers are commonly used in consideration of cost and size. However, magnetic coupling exists between the three phases of the inverter, which can result in complex models. When instantaneous feedback control strategies are introduced to achieve high quality output waveforms, the transient analysis of the closed-loop inverters becomes difficult. In this paper, the phenomenon of magnetic coupling in three-phase inverters due to three-limb inductors and three-limb transformers is analyzed. A decoupled dynamic model is derived based on the instantaneous symmetrical components transformation, which comprises three decoupled equivalent circuits of instantaneous symmetrical components. Analyses based on this model indicate that magnetic coupling may have a significant impact on the performance of three-phase inverters under unbalanced load conditions and transient responses. For three-phase inverters in UPSs with Proportional-Integral-Differential (PID) closed-loop control strategies, the interactive influence between instantaneous closed-loop regulation and magnetic coupling is researched. Finally, a method of reliability analysis and PID controller design for inverters with magnetic coupling is derived. Simulation and experiment results validate the model and conclusions. View Full-Text
Keywords: three-phase inverter; three-limb transformer; three-limb inductor; magnetic coupling; PID control; instantaneous symmetrical components three-phase inverter; three-limb transformer; three-limb inductor; magnetic coupling; PID control; instantaneous symmetrical components
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhang, Y.; Li, M.; Kang, Y. PID Controller Design for UPS Three-Phase Inverters Considering Magnetic Coupling. Energies 2014, 7, 8036-8055.

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