Nonlinear modeling and operation stability of variable speed pumped storage power station,Energy Science & Engineering

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Nonlinear modeling and operation stability of variable speed pumped storage power station
Energy Science & Engineering ( IF 3.5 ) Pub Date : 2021-07-09 , DOI: 10.1002/ese3.943
Wencheng Guo ₁ , Daoyi Zhu ₁

Affiliation

This paper studies the nonlinear modeling and operation stability of variable speed pumped storage power station (PSPS). Firstly, basic equations of variable speed PSPS are established. Nonlinear state equation in the form of relative deviation value is derived by considering supplementary conditions. Then, Hopf bifurcation analysis of variable speed PSPS is carried out. Stable domain of variable speed PSPS is studied. Finally, influence of factors on stability is analyzed. Dynamic response of variable speed PSPS is investigated. The results indicate that variable speed PSPS is a five-order nonlinear dynamic system. Nonlinear characteristics of variable speed PSPS reflect the nonlinear coupling effect between unit speed and rotor current. The emerged Hopf bifurcation is supercritical. Stable domain locates at the lower side of bifurcation line. Stable domain intuitively reflects and evaluates the stability of variable speed PSPS. When state point locates at stable domain, variable speed PSPS is stable and dynamic response of state variables is damped oscillation. A smaller flow inertia of penstock, a greater head loss of penstock, and a greater slip ratio are favorable for stability of variable speed PSPS. Stable domain under positive disturbance of active power is larger than that under negative disturbance of active power.

中文翻译：

变速抽水蓄能电站非线性建模及运行稳定性

本文研究了变速抽水蓄能电站(PSPS)的非线性建模和运行稳定性。首先，建立变速PSPS的基本方程。考虑补充条件，推导出相对偏差值形式的非线性状态方程。然后，进行变速PSPS的Hopf分岔分析。研究了变速PSPS的稳定域。最后分析了影响稳定性的因素。研究了变速 PSPS 的动态响应。结果表明变速PSPS是一个五阶非线性动力系统。变速PSPS的非线性特性反映了单位速度与转子电流之间的非线性耦合效应。出现的 Hopf 分岔是超临界的。稳定域位于分岔线的下侧。稳定域直观地反映和评价变速PSPS的稳定性。当状态点位于稳定域时，变速PSPS是稳定的，状态变量的动态响应为阻尼振荡。压力管流惯量越小，压力水头损失越大，滑移率越大，有利于变速PSPS的稳定性。有功功率正扰动下的稳定域大于有功功率负扰动下的稳定域。

更新日期：2021-07-09

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