Security Measures for Assessing Vulnerability to Large Deviations and Voltage Collapse in Electric Power Systems

评估电力系统大偏差和电压崩溃脆弱性的安全措施

• 批准号: 8611728
• 负责人: Christopher DeMarco
• 金额: $ 8万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1986
• 资助国家: 美国
• 起止时间: 1986-09-01 至 1989-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8611728&HistoricalAwards=false
• 关键词: Security; Measures; Assessing; Vulnerability; Large

In many large engineering systems it is important to maintain the system state at an acceptable operating point in the face of random disturbances. For power system analyses, evaluation of the effect of small random load variations has relied on examining the behavior of the linearized system about the operating point of interest. However, results on large deviation phenomena in stochastic differential equations indicate that under certain conditions, such linearized analysis may not be adequate. While the linearized system (without the random disturbance) may be asymptotically stable, the presence of the disturbance causes the state to behave as a diffusion process, "wandering" about the equilibrium. If the region of attraction for the stable equilibrium in the nonlinear system has a portion of its boundary sufficiently close to the equilibrium, the state may eventually leave the attracting set. The deterministic dynamics then dominate, pushing the state away from the desired operating point, resulting in a "large deviation." This research will apply recent theoretical results on large deviations in randomly perturbed dynamical systems to the power system security assessment problem. A primary goal will be to develop a measure which indicates vulnerability to voltage collapse, an observed large deviation effect for which standard small disturbance stability analyses are inadequate.

在许多大型工程系统中， 系统状态在一个可接受的操作点，在面对随机 干扰. 对于电力系统分析， 小的随机载荷变化依赖于检查 关于感兴趣的操作点的线性化系统。 然而，在这方面， 关于随机微分中大偏差现象的一些结果 方程表明，在某些条件下，这种线性化 分析可能不够。 而线性化系统（没有 随机扰动）可能是渐近稳定的， 扰动使状态表现为扩散过程， 在均衡中“徘徊” 如果吸引区域 非线性系统的稳定平衡有一部分 边界足够接近平衡，状态可以 最终离开吸引人的那一套 确定性动力学 主导，将状态推离期望的操作点， 导致“大偏差”。“这项研究将适用于最近的 随机扰动动力学中大偏差的理论结果 电力系统安全评估问题。 主 目标将是制定一项衡量指标， 电压崩溃，一种观察到的大偏差效应， 小扰动稳定性分析是不够的。