A Mixed-Integer Second-Order Cone Programming Algorithm for the Optimal Power Distribution of AC-DC Parallel Transmission Channels

Shunjiang Lin, Zhibin Yang, Guansheng Fan, Mingbo Liu, Sen He, Zhiqiang Tang and Yunong Song
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Shunjiang Lin: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Zhibin Yang: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Guansheng Fan: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Mingbo Liu: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Sen He: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Zhiqiang Tang: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Yunong Song: School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China

Energies, 2019, vol. 12, issue 19, 1-16

Abstract: For the controllability of the transmission power of DC transmission channels, the optimal power distribution (OPD) of AC-DC parallel transmission channels is an effective measure for improving the economic operation of an AC-DC interconnected power grid. A dynamic optimal power flow model for day-ahead OPD of AC-DC parallel transmission channels is established in this paper. The power flow equation constraints of an AC-DC interconnected power grid and the constraints of the discrete regulation requirement of the transmission power of DC channels are considered, which make the OPD model of the AC-DC parallel transmission channels a mixed-integer nonlinear non-convex programming (MINNP) model. Through a cone relaxation transformation and a big M method equivalent transformation, the non-convex terms in the objective function and constraints are executed with the convex relaxation, and the MINNP model is transformed into a mixed-integer second-order cone programming model that can be solved reliably and efficiently using the mature optimization solver GUROBI. Taking an actual large-scale AC-DC interconnected power grid as an example, the results show that the OPD scheme of the AC-DC parallel transmission channels obtained by the proposed algorithm can effectively improve the economical operation of an AC-DC interconnected power grid.

Keywords: AC-DC interconnected power grid; optimal power distribution of transmission channels; dynamic optimal power flow; cone relaxation; big M method; mixed-integer second-order cone programming (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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