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An Asymptotic Numerical Continuation Power Flow to Cope with Non-Smooth Issue

College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, China
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Energies 2019, 12(18), 3493; https://doi.org/10.3390/en12183493
Received: 19 August 2019 / Revised: 4 September 2019 / Accepted: 5 September 2019 / Published: 10 September 2019
Continuation power flow (CPF) calculation is very important for analyzing voltage stability of power system. CPF calculation needs to deal with non-smooth constraints such as the generator buses reactive power limits. It is still a technical challenge to determine the step size while dealing with above non-smooth constraints in CPF calculation. In this paper, an asymptotic numerical method (ANM) based on Fischer‐Burmeister (FB) function, is proposed to calculate CPF. We first used complementarity constraints to cope with non-smooth issues and introduced the FB function to formulate the complementarity constraints. Meanwhile, we introduced new variables for substitution to meet the quadratic function requirements of ANM. Compared with the conventional predictor-corrector method combining with heuristic PV-PQ (PV and PQ are used to describe bus types. PV means that the active power and voltage of the bus are known. PQ means that the active and reactive power of bus are known.) bus type switching, ANM can effectively solve the PV-PQ bus type switching problem in CPF calculation. Furthermore, to assure high efficiency, ANM can rapidly approach the voltage collapse point by self-adaptive step size adjustment and constant Jacobian matrix used for power series expansion. However, conventional CPF needs proper step set in advance and calculates Jacobian matrix for each iteration. Numerical tests on a nine-bus network and a 182-bus network validate that the proposed method is more robust than existing methods. View Full-Text
Keywords: continuation power flow; non-smooth constraints; asymptotic numerical method; complementarity constraints; Fisher–Burmeister function; predictor-corrector method continuation power flow; non-smooth constraints; asymptotic numerical method; complementarity constraints; Fisher–Burmeister function; predictor-corrector method
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Huang, Y.; Ju, Y.; Zhu, Z. An Asymptotic Numerical Continuation Power Flow to Cope with Non-Smooth Issue. Energies 2019, 12, 3493.

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