On reactive power flow and voltage stability in microgrids
On reactive power flow and voltage stability in microgrids
复制标题
微电网中的无功潮流和电压稳定性
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
F. Bullo
中科院分区：
文献类型：
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作者：
Basilio Gentile;J. Simpson;F. Dörfler;S. Zampieri;F. Bullo
本文主要研究电网中的无功潮流和电压稳定问题。我们提供了新的分析理解的解决方案，经典的非线性多项式方程描述的解耦无功潮流。到目前为止，这些方程的解只能通过数值方法找到。然而，分析性的理解将有利于未来电网的严格设计。本文有两个主要贡献。首先，对于足够高的参考电压，我们保证了无功潮流方程的高压解的存在性，并提供其近似解析表达式。我们约束的近似误差的网络拓扑结构和参数。其次，我们考虑了最近提出的下垂控制策略，在微电网配备逆变器的电压稳定。对于足够高的参考电压，我们证明了存在性和指数稳定的高电压不动点的闭环动态。我们提供了一个近似的表达这个不动点和约束的近似误差的网络拓扑结构和参数。最后，我们通过IEEE 37标准测试用例的数值模拟验证了我们的近似的准确性。
This paper focuses on reactive power flow and voltage stability in electrical grids. We provide novel analytical understanding of the solutions to the classic nonlinear polynomial equations describing the decoupled reactive power flow. As of today, solutions to these equations can be found only via numerical methods. Yet an analytical understanding would be beneficial to the rigorous design of future electrical grids. This paper has two main contributions. First, for sufficiently high reference voltages, we guarantee the existence of a high-voltage solution for the reactive power flow equations and provide its approximate analytical expression. We bound the approximation error in terms of network topology and parameters. Second, we consider a recently proposed droop control strategy for voltage stabilization in a microgrid equipped with inverters. For sufficiently high reference voltages, we prove the existence and the exponential stability of a high-voltage fixed point of the closed-loop dynamics. We provide an approximate expression for this fixed point and bound the approximation error in terms of the network topology and parameters. Finally, we validate the accuracy of our approximations through numerical simulation of the IEEE 37 standard test case.