引用本文:李国庆,陈厚合,姜 涛,陈 洁.基于微分代数模型的直流非线性附加控制[J].电力自动化设备,2011,31(6):
LI Guoqing,CHEN Houhe,JIANG Tao,CHEN Jie.Nonlinear supplementary control of HVDC based on differential-algebraic model[J].Electric Power Automation Equipment,2011,31(6):
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基于微分代数模型的直流非线性附加控制
李国庆1, 陈厚合2, 姜 涛1, 陈 洁3
1.东北电力大学 电气工程学院,吉林 吉林 132012;2.华北电力大学 电气与电子工程学院,北京 102206;3.国电南京自动化股份有限公司,江苏 南京 211100
摘要:
针对交直流互联电力系统的稳定控制问题,提出了一种微分代数模型反馈线性化的新方法。该方法基于叠加原理,计及非线性代数模型的影响,将微分代数系统的微分模型和关联代数模型的反馈分别线性化;系统代数变量仅影响关联代数模型反馈线性化,避免微分代数模型反馈线性化过程中重复进行微分部分的计算,易于研究不同代数变量对控制系统性能指标的影响程度;基于微分模型的状态反馈线性化系统可简便地扩展为微分代数模型状态反馈线性化系统。充分考虑交直流互联系统非线性负荷对直流功率调制的影响,将该方法应用于直流非线性附加控制器设计中,仿真结果表明所设计的控制器具有较好的阻尼特性,可有效改善互联系统动态稳定性,并提高直流系统运行稳定性。
关键词:  微分代数模型  反馈线性化  关联代数模型  叠加原理  交直流互联系统  功率调制
DOI:
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基金项目:国家自然科学基金资助项目(50977009)
Nonlinear supplementary control of HVDC based on differential-algebraic model
LI Guoqing1, CHEN Houhe2, JIANG Tao1, CHEN Jie3
1.School of Electrical Engineering,Northeast China Dianli University,Jilin 132012,China;2.School of Electrical & Electronic Engineering,North China Electric Power University,Beijing 102206,China;3.Guodian Nanjing Automation Co.,Ltd.,Nanjing 211100,China
Abstract:
The feedback linearization of DAM(Differential-Algebraic Model) is studied for the stability control of AC/DC power system,in which the feedbacks of its differential models and incidence algebraic models are respectively linearized based on superposition principle. The system algebraic variables only affect the feedback linearization of incidence algebraic models,which avoids the repeated calculation of differential parts for researching the influences of different algebraic variables on the control system performance indexes. The state feedback linearization system based on differential models can be easily extended to that based on differential-algebraic models. The proposed approach is applied to the design of non-linear supplementary controller for HVDC power system,which fully considers the non-linear load influences of AC/DC power system on DC power modulation. The simulative results show that,the designed controller has better damping performance,improving the dynamic stability of AC/DC power system and enhancing the operational stability of HVDC system.
Key words:  differential-algebraic model  feedback linearization  incidence algebraic model  superposition principle  electric power system interconnection  power modulation

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