| 引用本文: | 徐长波,鲁 伟,李春文.基于超稳定理论的自适应控制在单相有源滤波器中的应用[J].电力自动化设备,2014,34(1): |
| XU Changbo,LU Wei,LI Chunwen.Application of adaptive control based on hyperstability theory in single-phase active power filter[J].Electric Power Automation Equipment,2014,34(1): |
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| 摘要: |
| 为了降低滤波参数对单相有源滤波器（APF）的补偿效果的影响，提出了基于超稳定理论的模型跟随控制策略。首先对非线性APF模型线性化，并把线性化后的模型等价由前向回路和反馈回路构成，根据超稳定性理论，反馈回路满足波波夫积分不等式，前向回路的传递函数严格正实，由此设计自适应模型跟随控制律。仿真结果表明所提控制策略较PI控制的补偿效果更好，不仅可以有效消除电网谐波电流，而且具有更强的参数抑制能力。 |
| 关键词: 有源滤波器 模型跟随 超稳定理论 波波夫积分不等式 严格正实 自适应控制系统 补偿 |
| DOI： |
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| 基金项目:国家自然科学基金资助项目（61174068） |
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| Application of adaptive control based on hyperstability theory in single-phase active power filter |
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XU Changbo, LU Wei, LI Chunwen
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Department of Automation，Tsinghua University，Beijing 100084，China
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| Abstract: |
| In order to suppress the influence of filtering parameters on the compensation effect of single-phase APF（Active Power Filter），a model-following control strategy based on the hyperstability theory is proposed. The nonlinear APF model is linearized and equaled to a combined model of a feedforward loop and a feedback loop. The control law of adaptive modelfollowing model is designed according to the hyperstability theory，which makes the feedback loop satisfying with Popov integral inequality and the transfer function of feedforward loop strictly positive real. Simulative results show that，compared to PI control，the proposed control strategy eliminates the grid harmonic current more effectively and suffers less from filtering parameters，with better compensation effect. |
| Key words: active filters model following hyperstability theory Popov integral inequality strictly positive real adaptive control systems compensation |
