Abstract
Load frequency control (LFC) is one of the most challenging problems in multi-area power systems. In this paper, we consider power system formed of distinct control areas with identical dynamics which are interconnected via weak tie-lines. We then formulate a disturbance rejection problem of power-load step variations for the interconnected network system. We follow a top-down method to approximate a centralized linear quadratic regulator (LQR) optimal controller by a distributed scheme. Overall network stability is guaranteed via a stability test applied to a convex combination of Hurwitz matrices, the validity of which leads to stable network operation for a class of network topologies. The efficiency of the proposed distributed load frequency controller is illustrated via simulation studies involving a six-area power system and three interconnection schemes. In the study, apart from the nominal parameters, significant parametric variations have been considered in each area. The obtained results suggest that the proposed approach can be extended to the non-identical case.
Highlights
Power systems are important in engineering, and their stable and continuous operation is inherently connected to social welfare and economic prosperity
We propose a novel distributed-linear quadratic regulator (LQR) algorithm for networked systems with dynamical couplings applied to Load frequency control (LFC) of large-scale multi-area power systems
Extensive simulations presented in this work support our conjecture that this stabilization criterion can be extended to more general LFC control network problems
Summary
Power systems are important in engineering, and their stable and continuous operation is inherently connected to social welfare and economic prosperity. Linear quadratic regulator (LQR) control design has been successfully utilized in frequency regulation problems, mostly due to large stability margins of its stabilizing solution, with the fundamental work of [34] being a benchmark approach to LQR-based LFC of multi-area power systems. The research of this paper motivated by the structure of a multi-area power system with dynamical couplings between interconnected areas, attempts to cover this particular gap in literature We believe that this is the major contribution of our work the design description of which is summarized in the following paragraph. The proposed distributed LFC controller is stabilizing even if tie-line interconnections and communication links are added to or removed from the overall system, as long as this does not violate the stability condition given in Sections 4 and 5 This powerful feature gives integrity to the control subsystem of each area and enhances the resilience of the power system in the presence of interconnection variations. A discussion of the main results and suggestions for future work are included
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