The Main Causes of Voltage Collapse in Electric Power Systems

电压崩溃是指当电压急剧下降时，大型电力系统失去稳定性而导致停电的一种现象。涉及各个子系统（发电机、变压器、负载未知）的电压崩溃的解释。研究的主要目的是确定哪些子系统和参数主要负责电压崩溃，以便开发一个简单的电力系统模型，捕获电压崩溃的主要原因。这样的模型将构成科学理解和预防电压崩溃的基础。电压崩溃通常与非线性电力系统方程的分岔有关；即电力系统正常运行时的稳定平衡随着参数的变化而消失。提出的研究目标是通过研究分岔的几何形状和将分岔的条件简化为更简单的形式，来确定子系统和参数如何促成分岔（从而导致电压崩溃）。其他参数化非线性系统以类似的方式失去稳定性，并且大多数开发的技术将普遍适用。

Voltage collapse ia a loss of stability in large scale electric power systems which causes blackout when voltages decrease catastrophically. Explanations of voltage collapse involving various subsystems (generators, transformers, loads is unknown). The main purpose of the research is to determine which subsystems and parameters are primarily responsible for voltage collapse so that a simple power system model capturing the main causes of voltage collapse may be developed. Such a model would form the basis for the scientific understanding and prevention of voltage collapse. Voltage collapse is generally associated with bifurcation of the nonlinear power system equations; that is, the disappearance as parameters vary of the stable equilibrium at which the power system is normally operated. The goal of the proposed research is to determine how the subsystems and parameters contribute to the bifurcation (and hence the voltage collapse) by studying the geometry of the bifurcation and reducing the condition for bifurcation to a simpler form. Other parameterised nonlinear systems lose stability in a similar way and most of the techniques developed will apply generally.