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排灌机械工程学报
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排灌机械工程学报  0, Vol. Issue (): 12-    DOI:
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复杂管系水轮机调节系统非线性建模与分析
把多铎,袁璞,陈帝伊,丁聪
(西北农林科技大学水利水电科学研究院,陕西省 杨凌市 712100)
Modeling and nonlinear dynamic analysis for hydro-turbine governing system with complex pipes
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摘要 为深入揭示水轮机调节系统的非线性本质,对非线性水轮机调节系统的建模及动力学问题进行了研究。在引水系统为复杂管道情况下,考虑水轮机调节系统中传递系数随运行工况变化而呈现的非线性,引入非线性传递系数,建立了复杂引水管系时新的水轮机调节系统非线性数学模型。运用非线性动力学理论,通过分岔图、Poincare映射图、功率谱图、时域图、相轨迹图、频谱图,综合分析了水轮机调节系统参数变化时系统的非线性动力学行为。发现了水轮机调速器参数变化时,机组转速、水门开度的时域变化规律、输出震荡周期变化规律、相轨迹图变化规律。结果表明,当调速器参数在系统响应分岔图的稳定区域内变化时,调节系统可以正常工作,当调速器参数超出该区域时系统的输出将出现等幅震荡、发散,甚至出现混沌状态。本文的分析方法与结果,为水电站系统的安全稳定运行提供了新的理论依据。
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把多铎
袁璞
陈帝伊
丁聪
关键词水轮机   非线性分析   分岔   复杂管系     
Abstract:  In order to study the nonlinear dynamics characters of hydro-turbine governing system with a complex pipe system, a nonlinear model of hydro-turbine governing system was established where one considered the nonlinearity of transfer coefficient with the hydro-turbine governing system work conditions changing. Based on nonlinear dynamics theory, the nonlinear dynamic behavior of hydro-turbine governing system was analyzed including bifurcation diagrams, Poincare maps, power spectrum diagram, time domain diagram, phase orbits diagram and spectrum diagram. Furthermore, numerical simulations were carried out, it shows that the law between the rotation speed of hydraulic turbine and watergate opening degree was discovered when the parameters of hydro-turbine governing system are varying. And the parameters range of the hydro-turbine governing system which can ensure the system work in stable condition was got. The results show that when governor parameters varying in the stable area of system response bifurcation diagrams, the system work in a stable condition, while, if governor parameters exceed the area ,the output of hydro-turbine governing systems appears constant amplitude, divergence, and even chaos. Therefore, all of these results provide the theoretical basis for the system working well.
Key wordshydraulic turbine   nonlinear analysis   bifurcation   complex pipe systems   
引用本文:   
把多铎,袁璞,陈帝伊等. 复杂管系水轮机调节系统非线性建模与分析[J]. 排灌机械工程学报, 0, (): 12-.
BA Duo-Duo,YUAN Pu,CHEN Di-Yi et al. Modeling and nonlinear dynamic analysis for hydro-turbine governing system with complex pipes[J]. Journal of Drainage and Irrigation Machinery Engin, 0, (): 12-.
 
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