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Energies 2017, 10(10), 1612; doi:10.3390/en10101612

Extended Gersgorin Theorem-Based Parameter Feasible Domain to Prevent Harmonic Resonance in Power Grid

1
School of Electrical Engineering, Wuhan University, Wuhan 430072, China
2
College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China
3
Central China Branch of State Grid Corporation of China, Wuhan 430063, China
*
Author to whom correspondence should be addressed.
Received: 21 September 2017 / Revised: 2 October 2017 / Accepted: 6 October 2017 / Published: 15 October 2017
(This article belongs to the Section Electrical Power and Energy System)
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Abstract

Harmonic resonance may cause abnormal operation and even damage of power facilities, further threatening normal and safe operation of power systems. For renewable energy generations, controlled loads and parallel reactive power compensating equipment, their operating statuses can vary frequently. Therefore, the parameters of equivalent fundamental and harmonic admittance/impedance of these components exist in uncertainty, which will change the elements and eigenvalues of harmonic network admittance matrix. Consequently, harmonic resonance in power grid is becoming increasingly more complex. Hence, intense research about prevention and suppression of harmonic resonance, particularly the parameter feasible domain (PFD) which can keep away from harmonic resonance, are needed. For rapid online evaluation of PFD, a novel method without time-consuming pointwise precise eigenvalue computations is proposed. By analyzing the singularity of harmonic network admittance matrix, the explicit sufficient condition that the matrix elements should meet to prevent harmonic resonance is derived by the extended Gersgorin theorem. Further, via the non-uniqueness of similar transformation matrix (STM), a strategy to determine the appropriate STM is proposed to minimize the conservation of the obtained PFD. Eventually, the availability and advantages in computation efficiency and conservation of the method, are demonstrated through four different scale benchmarks. View Full-Text
Keywords: power grid; harmonic resonance; parameter feasible domain; online evaluation; extended Gersgorin theorem; optimization model power grid; harmonic resonance; parameter feasible domain; online evaluation; extended Gersgorin theorem; optimization model
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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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Lin, T.; Chen, R.; Yu, G.; Bi, R.; Xu, X. Extended Gersgorin Theorem-Based Parameter Feasible Domain to Prevent Harmonic Resonance in Power Grid. Energies 2017, 10, 1612.

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