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计及无功耦合的虚拟同步机暂态稳定机理与势能函数评估方法

Transient Stability Mechanism and Potential Energy Function Evaluation Method of Virtual Synchronous Machines Considering Reactive Coupling

  • 摘要: 为解决高比例新能源并网下电网转动惯量匮乏、虚拟同步机(VSG)传统恒压假设忽略无功耦合导致暂态稳定分析偏差的问题,本文开展计及无功耦合的 VSG 暂态稳定机理与势能函数评估方法研究。首先建立 VSG 大信号模型,揭示无功耦合引发功角曲线非线性畸变、压缩系统稳定域的内在机理;其次针对畸变功角曲线难以直接积分的难题,改进传统等面积法则,构建计及无功耦合的势能原函数,将复杂面积积分转化为等势点寻根问题,实现最大摆角与极限切除角的快速解析求解;最后通过半实物实验平台验证理论与方法的有效性。

     

    Abstract: To address insufficient rotational inertia in power grids with high-penetration renewable energy and transient stability analysis errors from the conventional constant-voltage assumption of virtual synchronous generators (VSG) neglecting reactive power coupling, this paper studies the transient stability mechanism and potential energy function evaluation method for VSGs considering reactive power coupling. First, a VSG large-signal model is built to reveal the intrinsic mechanism that reactive power coupling causes nonlinear distortion of the power-angle curve and shrinks the system stability region. Second, to solve the direct integration difficulty of distorted power-angle curves, the traditional equal-area criterion is improved via constructing a reactive power coupling-aware potential energy primitive function, converting complex area integration into equipotential point root-finding and realizing fast analytical solutions of the maximum swing angle and critical clearing angle. Finally, the effectiveness of the theory and method is verified by a hardware-in-the-loop experimental platform.

     

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