Structure-Exploiting Delay-Dependent Stability Analysis Applied to Power System Load Frequency Control
Structure-Exploiting Delay-Dependent Stability Analysis Applied to Power System Load Frequency Control
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DOI：
10.1109/tpwrs.2017.2669316
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发表时间：
2017-02
影响因子：
6.6
通讯作者：
C. Duan;Chuan‐Ke Zhang;Lin Jiang;W. Fang;W. Yao
中科院分区：
文献类型：
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作者：
C. Duan;Chuan‐Ke Zhang;Lin Jiang;W. Fang;W. Yao
将基于线性矩阵不等式（LMI）的时滞相关稳定性分析/综合方法应用于含有通信网络的电力系统负荷频率控制（LFC）。然而，求解大规模线性矩阵不等式的计算负担对这些方法在实际电力系统中的应用提出了很大的挑战。本文研究了LFC时滞相关稳定性分析（DDSA）的计算问题。其基本思想是通过利用LFC循环相关图的弦稀疏性和对称性来提高DDSA的数值易处理性。图论分析产生的结构限制的加权矩阵所需的线性矩阵不等式继承弦稀疏的控制回路。通过对加权矩阵施加这些结构限制，可以将线性矩阵不等式中的半正定约束分解为更小的约束，从而大大减少决策变量的数量。LFC控制回路中的对称性也被用来减少决策变量的数量。数值研究表明，所提出的结构开发技术显着提高了DDSA的数值易处理性的成本引入可接受的小保守性。
Linear matrix inequality (LMI) based delay-dependent stability analysis/synthesis methods have been applied to power system load frequency control (LFC) which has communication networks in its loops. However, the computational burden of solving large-scale LMIs poses a great challenge to the application of those methods to real-world power systems. This paper investigates the computational aspect of delay-dependent stability analysis (DDSA) of LFC. The basic idea is to improve the numerical tractability of DDSA by exploiting the chordal sparsity and symmetry of the graph related to LFC loops. The graph-theoretic analysis yields the structure restrictions of weighting matrices needed for the LMIs to inherit the chordal sparsity of the control loops. By enforcing those structure restrictions on weighting matrices, the positive semidefinite constraints in the LMIs can be decomposed into smaller ones, and the number of decision variables can be greatly reduced. Symmetry in LFC control loops is also exploited to reduce the number of decision variables. Numerical studies show the proposed structure-exploiting techniques significantly improves the numerical tractability of DDSA at the cost of the introduction of acceptable minor conservatism.