Minimax Optimization for Capacitors Composited with Two Kinds of Series Reactance Rates

  • Pu DengEmail author
  • Tinghao LeiEmail author
  • Fengyuan Wang
  • Zhuo Chen
  • Aiping Pang
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 582)


For the reasonable series reactance rate in capacitor of substations, the full parametric harmonic circuit and model for 220 and 110 kV substations are established, which consists of transformer, load, short impedance and harmonic source, capacitors that two reactance rates are adopted. Moreover, the resonance objective function is proposed, which reflects the degree of resonance, such as, harmonic voltage amplification factor on load bus, etc. With the method of minimax optimization, the maximum values of objective function in all the power grid parameter space are minimized by changing reactance rate. The optimization results show that resonance is eliminated with the best effect by using a set capacitor with 12% series reactance rate and another groups of capacitors with 4.5%, and the result also reduces the loss and cost. At the same time, this conclusion is suitable for all 220 and 110 kV substation.


Harmonic Resonance Harmonic amplification Reactance ratio Harmonic impedance 



The authors gratefully acknowledge the support of the National Natural Science Fund of China (51567005) and Guizhou Province Joint Fund Project (LH[2017]7230, [2017]5788).Guizhou Science and Technology Innovation Talents Team Project [2018]5615.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Power Grid Planning and Research Center, Guizhou Power Grid CorporationGuiyangChina
  2. 2.College of Electrical EngineeringGuizhou UniversityGuiyangChina

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