Abstract Static voltage stability is critical for the operation of power grids. With the penetration of renewable energies, region-based method become a choice to present the stability of a power grid. Static voltage stability region is hence a useful and intuitive tool to determine the safety margin of a power grid. The formation of static voltage stability region is however time consuming. To overcome such issue, this work proposes a relaxed decoupled direct calculation (RDDC) method to find voltage collapse points (VCPs). The direct calculation of VCPs is a Newton-Raphson type method and faces the sensitivity issue of the initial values. Boundary tracking method provides a framework to utilize the information from neighbor VCPs and hence is integrated with the proposed RDDC method. The results show that the RDDC method is able to calculating VCPs as precise as continuation power flow with less computational time. When RDDC is integrated with boundary tracking, results show that the static voltage stability region boundary can be generated with high precision, and computational performance improvement can be observed for all the test systems from nine buses to ten thousand of buses. This demonstrates the applicability and scalability of the proposed method to power systems with different scales.

中文翻译：

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电压崩溃点的松弛解耦直接计算及其在静态电压稳定区边界形成中的应用

摘要 静态电压稳定性是电网运行的关键。随着可再生能源的普及，基于区域的方法成为呈现电网稳定性的一种选择。因此，静态电压稳定区是确定电网安全裕度的有用且直观的工具。然而，静态电压稳定区的形成是耗时的。为了克服这个问题，这项工作提出了一种轻松解耦直接计算（RDDC）方法来寻找电压崩溃点（VCP）。VCP 的直接计算是 Newton-Raphson 类型的方法，面临初始值的敏感性问题。边界跟踪方法提供了一个框架来利用来自相邻 VCP 的信息，因此与所提出的 RDDC 方法相结合。结果表明，RDDC 方法能够以更少的计算时间计算出与持续潮流一样精确的 VCP。当RDDC与边界跟踪相结合时，结果表明静态电压稳定区域边界可以高精度生成，并且从9条总线到上万条总线的所有测试系统都可以观察到计算性能的提高。这证明了所提出的方法对不同规模的电力系统的适用性和可扩展性。从九条总线到一万条总线的所有测试系统都可以观察到计算性能的提高。这证明了所提出的方法对不同规模的电力系统的适用性和可扩展性。从九条总线到一万条总线的所有测试系统都可以观察到计算性能的提高。这证明了所提出的方法对不同规模的电力系统的适用性和可扩展性。