Comparison of Decomposition Methods in Solving the Voltage and Reactive Power Control Problem in Multi-Area Power Systems

Document Type : Original Article

Authors

1 Electrical Engineering, Shahid Rajaee Teacher Training University, Iran

2 , Shahid Rajaee Teacher Training University

Abstract

Due to the limitations that exist in the centralized control method, nowadays mainly distributed methods are used to solve the problem of optimal power flow in multi-area power systems. In distributed methods, each area solves its optimization problem by coordinating the neighboring areas, but completely independently, that is, the optimization problem is divided into several sub-problems. In this article, three decomposition methods, namely the adjustment at the dummy boundary bus method, the exchange of adjacent boundary variables method and the coordination method by the power of the tie line, to solve the problem of control of voltage and reactive power in multi-area power systems, are introduced and compared with each other and with the centralized method. The common point of these three methods is that they all use the Lagrange relaxation method to remove complex constraints. Examining the simulation results shows that the adjustment at the dummy boundary bus requires more iterations than the other two methods to achieve convergence, but the results of this method are closer to the results of the centralized solution method, its means, this method has lower sub-optimally. Also, unlike the centralized method that requires a lot of information exchange, the decomposition methods are less dependent on the exchange of information between areas, and among them, the method of adjustment at the dummy boundary bus requires the least exchange.

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TABRIZ JOURNAL OF ELECTRICAL ENGINEERING

Articles in Press, Corrected Proof
Available Online from 28 September 2024

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