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水轮机调节系统的非线性模型、PID控制及其Hopf分叉

THE NONLINEAR MODEL OF HYDRAULIC TURBINE GOVERNING SYSTEMS AND ITS PID CONTROL AND Hopf BIFURCATION

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【作者】 凌代俭沈祖诒

【Author】 LING Dai-jian, SHEN Zu-yi (College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, Jiangsu Province, China)

【机构】 河海大学水利水电学院河海大学水利水电学院 江苏省南京市210098江苏省南京市210098

【摘要】 通过理论分析提出了水机电系统的非线性模型,该模型具有物理意义清楚、便于理论分析和计算机计算处理的特点;在此基础上应用基于遗传算法的PID控制方法优化控制参数,仿真表明,对非线性模型获得的控制性能是令人满意的;以PID调节参数作为系统分叉参数,运用Hopf分叉存在性的直接代数判据对该非线性模型的Hopf分叉行为进行了分析和仿真,对于水电站中所观察到的持续振荡现象,文中结果可作为一种可能的理论解释。

【Abstract】 Based on the theoretical analysis, a nonlineamodel of hydraulic-mechanical-electro systems is presentedwhich has clear physical meanings and is easy to be analyzedtheoretically and calculated by computer. By using the GA-basedPID controller, the control parameters are optimized and thecontrol performances are improved according to the simulationsFinally, the direct algebra criterion about the existence of Hopbifurcation is used to investigate the bifurcation behavior of thenonlinear model which takes the PID parameters as thebifurcation ones. The simulations show that the results of thispaper can be considered as one of the explanations to sustainedoscillations recorded in hydroelectric power station.

  • 【文献出处】 中国电机工程学报 ,Proceedings of the Csee , 编辑部邮箱 ,2005年10期
  • 【分类号】TK730.41
  • 【被引频次】74
  • 【下载频次】918
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