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计及奇异摄动的光伏并网系统模型降维处理方法

Dimensionality Reduction Method for Photovoltaic Grid Connected System Model Considering Singular Perturbations

  • 摘要: 光伏并网系统模型具有维数高、尺度多、非线性等特点,给并网控制和稳定性分析带来挑战。提出一种基于奇异摄动理论考虑多时间尺度的光伏并网系统降维建模方法。首先根据光伏出力特性建立并网系统模型,通过对模型进行线性化处理得到其状态空间模型。其次利用奇异摄动理论和特征值分析方法对包含多时间尺度的光伏小信号模型进行降维处理,得到降维模型。最后仿真结果表示降维模型与原模型都能反映光伏并网系统振荡模式,但降维模型恢复速度更快,验证了所提方法的有效性。

     

    Abstract: The photovoltaic grid connected system model has the characteristics of high dimensional, multiple scales, and non-linearity, which present challenges to grid connected control and stability analysis. This paper proposes a dimensional reduction modeling method for photovoltaic grid connected systems based on singular perturbation theory considering multiple time scales. At first, a grid connected system model is established based on the photovoltaic output characteristics, and its state space model is obtained by lingering the model. Then by using singular perturbation theory and eigenvalue analysis methods, the photovoltaic small signal model containing multiple time scales is subjected to dimensional reduction processing to obtain the dimensional reduction model. At last, Simulation results show that both the reduced dimensional model and the original model reflect the oscillation mode of the photovoltaic grid connected system, but the reduced dimensional model has a faster recovery time, which verifies the effectiveness of the proposed method.

     

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