Delay-dependent Wide-area Damping Controller Synthesis Approach Using Jensen's Inequality and Evolution Algorithm

Wencheng Wu; Xiaoru Wang; Hong Rao; Baorong Zhou

doi:10.17775/CSEEJPES.2021.03990

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Delay-dependent Wide-area Damping Controller Synthesis Approach Using Jensen's Inequality and Evolution Algorithm

Regular Papers | 更新时间：2026-10-15

- Delay-dependent Wide-area Damping Controller Synthesis Approach Using Jensen's Inequality and Evolution Algorithm
- CSEE Journal of Power and Energy Systems Vol. 9, Issue 5, Pages: 1774-1785(2023)
- 作者机构：
  
  1. School of Electrical Engineering Southwest Jiaotong University,Sichuan Province,Chengdu,China
  2. Southwest Electric Power Design Institute,Sichuan Province,China
  3. State Key Laboratory of HVDC, Electric Power Research Institute,, Guangzhou,CSG,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2021.03990
  CLC：
- Published：01 September 2023
- 稿件说明：
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Wencheng Wu, Xiaoru Wang, Hong Rao, et al. Delay-dependent Wide-area Damping Controller Synthesis Approach Using Jensen's Inequality and Evolution Algorithm[J]. CSEE Journal of Power and Energy Systems, 2023, 9(5): 1774-1785.
DOI：

Wencheng Wu, Xiaoru Wang, Hong Rao, et al. Delay-dependent Wide-area Damping Controller Synthesis Approach Using Jensen's Inequality and Evolution Algorithm[J]. CSEE Journal of Power and Energy Systems, 2023, 9(5): 1774-1785. DOI： 10.17775/CSEEJPES.2021.03990.

摘要

Abstract

A time-delay-dependent wide-area damping controller synthesis approach

based on Jensen's integral inequality and evolution algorithm

is developed to suppress the adverse effect of time delay on the supplemental control of high-voltage direct current (DC) transmission systems. Initially

the state-space model of hybrid AC/DC systems with time delay is derived and the delay-dependent criteria for the stability of the closed-loop system are provided based on Jensen's integral inequality. Subsequently

initial solutions are randomly generated to overcome the difficulty of solving the nonlinear matrix inequality. Finally

the time-delay stability upper bound of the controller is optimized using the differential evolution algorithm. In comparison to popular time-delay stable controller design methods

such as the free-weighting-matrix approach

the proposed method based on output feedback realization requires fewer decision variables and is more suitable for large-scale hybrid AC/DC systems. Three examples are introduced to verify the effectiveness of the proposed method.

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Keywords

references

9. J. Sieber, K. Engelborghs, T. Luzyanina, G. Samaey, and D. Roose. ( 2016, Sep. ). DDE-BIFTOOL Manual-Bifurcation analysis of delay differential equations. Mathematics. [Online] . Available: https://arxiv.org/abs/1406.7144.

12. W. Michiels and S. Gumussoy. ( 2014 ). Eigenvalue Based Algorithms and Software for the Design of Fixed-Order Stabilizing Controllers for Interconnected Systems with Time-Delays. [Online]. Available: https://arxiv.org/abs/2003.05496v2.

28. S. Casoria. ( 2017, Sep. ). Sequential AC-DC load flow method for two-terminal HVDC networks (Version 2), Ac Generators . [Online ] . Available: https://cn.mathworks.com/matlabcentral/fileexchange/35929-sequential-ac-dc-Ioad-flow-method-for-two-terminal-hvdc-networks-version-2-1 -.

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