| 引用本文: | 马 静,王 彤,杨奇逊.基于摄动矩阵和凸多胞体的不确定性鲁棒H2／H∞控制方法[J].电力自动化设备,2012,32(10): |
| MA Jing,WANG Tong,YANG Qixun.Robust H2／H∞ control considering uncertainties based on perturbation matrix and polytopic model[J].Electric Power Automation Equipment,2012,32(10): |
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| 摘要: |
| 针对区间振荡，提出一种基于摄动矩阵和凸多胞体的不确定性鲁棒H2／H∞控制方法。首先将各运行点附近的不确定性用摄动矩阵描述，再将不同运行点作为凸多胞体的顶点，构建包含多种不确定性的鲁棒H2／H∞多胞体摄动模型。在此基础上，将该模型闭环系统中的不确定性矩阵进行分离，并将各约束条件转化为线性不等式约束条件进行求解，最终获得满足多目标最优条件的状态反馈矩阵。IEEE 4机11节点系统的仿真结果表明，该方法不受测量误差、参数误差以及运行点变化的影响，且能同时满足H∞干扰抑制和最优H2性能，与未考虑不确定性的H2／H∞控制方法相比，该控制方法能更迅速地阻尼低频振荡，且对多种不同运行方式具有更强的鲁棒性。 |
| 关键词: 电力系统 区间振荡 不确定性 鲁棒H2／H∞ 摄动矩阵 凸多胞体模型 控制 |
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| 基金项目:国家自然科学基金资助项目（50907021，50837002）；国家重点基础研究发展计划项目（973计划）（2012CB215200）；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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| Robust H2／H∞ control considering uncertainties based on perturbation matrix and polytopic model |
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MA Jing, WANG Tong, 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: |
| The robust H2／H∞ control considering uncertainties based on perturbation matrix and polytopic model is proposed to damp inter-area oscillations. The robust H2／H∞ polytopic perturbation model is constructed by taking different operating points as its vertexes and describing the uncertainty around each operating point with the perturbation matrix. The uncertainty matrix of closed-loop system in the model is separated，the constraints are converted to the linear inequalities and the state feedback matrix satisfying the multi-objective optimization is obtained. Simulative results of IEEE 4-machine 11-bus system show that，the proposed method is immune to measurement error，parameter error and operating point change，and both the H∞ disturbance suppression and the optimal H2 performance are simultaneously satisfied. Compared with the H2／H∞ control method without considering uncertainties，it damps the low-frequency oscillation faster and has better robustness under various operating conditions. |
| Key words: electric power systems inter-area oscillation uncertainty robust H2／H∞ perturbation matrix polytopic model control |
