AI 中文总结
针对功率变换器集成给电力系统稳定性分析带来的挑战，提出基于Davis-Wielandt壳及其投影概念的几何分散稳定性证书，可处理异构变换器及可变运行点，通过案例研究验证了该方法计算稳定性裕度和构建认证运行区域的有效性。
AI 中文摘要
功率变换器的集成正在深刻改变电力系统动态，并给稳定性分析带来重大挑战。电网与异构变换器之间的动态交互高度复杂，因维度灾难难以分析。而且系统稳定性随运行点变化，而运行点由各变换器的电压幅值、有功功率和无功功率决定，这使得分析更加复杂，因为难以枚举和检查所有可能的运行点。为应对这些挑战，本文提出一种用于电力电子主导电力系统的几何分散稳定性证书，它能同时处理异构功率变换器及其可变运行点。该证书可通过分散和模块化方式检查，且对大规模电力系统具有可扩展性。我们的方法基于Davis-Wielandt（DW）壳及其投影的概念开发，能有效可视化高维复杂矩阵的特性。我们研究了DW壳的投影如何随运行点变化以及这种变化如何指导对最坏情况运行条件的搜索。我们还提出一种有效算法来计算稳定性裕度并构建认证运行区域。通过对单变换器和54变换器风力发电系统的案例研究验证了所提方法的有效性。
英文摘要
The integration of power converters is profoundly changing the power system dynamics and poses significant challenges for stability analysis. The dynamic interactions between the power grid and the heterogeneous converters are highly complex and difficult to analyze due to the curse of dimensionality. Moreover, system stability varies with the operating points, which are determined by the voltage magnitude, active power, and reactive power of each converter. This further complicates the analysis as it is difficult to enumerate and examine all the possible operating points. To tackle these challenges, this paper proposes a geometric decentralized stability certificate for power electronics (PE)-dominated power systems, which can simultaneously handle heterogeneous power converters and their variable operating points. The certificate can be checked in a decentralized and modular manner, and it is scalable for large-scale power systems. Our approach is developed based on the concept of Davis-Wielandt (DW) shell and its projections, which can effectively visualize the characteristics of high-dimensional complex matrices. We investigate how the projections of the DW shell vary with operating points and how this variation can guide the search for worst-case operating conditions. We further propose an efficient algorithm to compute the stability margin and construct the certified operating regions. The effectiveness of the proposed method is validated through case studies on single-converter and 54-converter wind power systems.
