Distributed Optimal Load Frequency Control Strategy Based on Alternating Direction Method of Multiplier

doi:10.12204/j.issn.1000-7229.2021.11.014

Abstract

Abstract:

Load frequency control (LFC) is essential for maintaining the security and stability of the power system concerned. However, the complexity of the differential equation model characterizing the dynamics of an interconnected power system brings a challenge to the design of the load frequency controller. Given this background, a distributed optimal control scheme based on alternating direction method of multiplier (ADMM) is employed to design the load frequency controller for the interconnected power system. The proposed approach can simultaneously optimize the control performance and improve the computation efficiency. Firstly, the mathematical model of LFC is briefed. Then an optimization formulation for designing the distributed optimal control scheme of LFC is presented on the basis of the quadratic performance and matrix sparsification, and solved by using ADMM. Finally, a three-area interconnected power system is employed to demonstrate the feasibility and effectiveness of the proposed LFC approach.

Key words: load frequency control(LFC), distributed optimization, alternating direction method of multiplier (ADMM), quadratic polynomial, matrix sparsification

CLC Number:

TM73

LI Lingfang, CHEN Yixuan, XU Yan, WEN Fushuan. Distributed Optimal Load Frequency Control Strategy Based on Alternating Direction Method of Multiplier[J]. ELECTRIC POWER CONSTRUCTION, 2021, 42(11): 125-132.

Figures/Tables 7

Fig.1 The model of the i-th area in an interconnected power system

Fig.2 Design procedure of the ADMM-based distributed optimal load frequency controller

Fig.3 Block diagram of a three-area power system model

Fig.4 Structure of the gain matrix K

Fig.5 Response curves of the three-area interconnected power system with the PI-based LFC strategy under load disturbances

Fig.6 Response curves of the three-area interconnected power system with the centralized LFC strategy under load disturbances

Fig.7 Response curves of the three-area interconnected power system with the distributed LFC strategy under load disturbances

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