| 引用本文: | 马 静,王 彤,王增平,杨奇逊.基于非凸稳定区域的广域阻尼鲁棒控制策略[J].电力自动化设备,2013,33(5): |
| MA Jing,WANG Tong,WANG Zengping,YANG Qixun.Wide-area damping robust control based on non-convex stable region[J].Electric Power Automation Equipment,2013,33(5): |
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| 摘要: |
| 针对区间振荡模式频率低、阻尼小、持续时间长的特点，在李雅普诺夫理论的基础上，利用Gutman定理对稳定区域进行推广，定义可使系统迅速进入稳定状态的非凸稳定区域；利用特征值转移因子将非线性的非凸稳定区域转化为线性可求解区域；考虑到系统和扰动的不确定性，重构基于非凸稳定区域的混合H2 ／ H∞多目标鲁棒控制约束条件，并转化为一系列线性不等式组，最终优化得到反馈控制向量。以4机2区域系统作为测试系统，针对不同运行工况，分别进行时域和频域仿真，结果表明该控制策略在阻尼性能和鲁棒性能方面，均较传统的H2 ／ H∞控制策略有明显优势。 |
| 关键词: 电力系统 区间振荡 非凸稳定区域 特征值转移因子 阻尼 鲁棒控制 稳定性 |
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| 基金项目:国家重点基础研究发展计划（973计划）项目（2012 -CB215200）；国家自然科学基金资助项目（51277193，50907021，50837002）；中央高校基本科研业务费专项资金资助项目（11MG01）；教育部留学回国人员科研启动基金资助项目（［2011］1139）；河北自然科学基金资助项目（E2012502034）；中国电机工程学会电力青年科技创新项目（［2012］46）；河北省电力公司科技项目（KJ［2012］278-280） |
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| Wide-area damping robust control based on non-convex stable region |
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MA Jing, WANG Tong, WANG Zengping, YANG Qixun
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State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources，North China Electric Power University，Beijing 102206，China
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| Abstract: |
| Based on the theory of Lyapunov and due to the characteristics of inter-area oscillation mode： low-frequency，low damping and long duration，the theory of Gutman is used to extend the stability region for redefining a non-convex stable region to quickly promote the system to stable state. The eigenvalue shift factor is applied to convert the nonlinear non-convex region into a feasible linear space. With the consideration of the uncertainties of system and disturbance，the constraints of hybrid H2 ／ H∞ multi-objective robust control are reformed based on the non-convex stable region and transformed into a series of linear inequality set，which are optimized to obtain the feedback control vectors. Time-domain and frequency-domain simulations are respectively carried out for a 4-machine 2-area system under different operating conditions，and results show that，the proposed control strategy is superior to traditional H2 ／ H∞ control strategy in damping performance and robustness. |
| Key words: electric power systems inter-area oscillation non-convex stable region eigenvalue shift factor damping robust control stability |
