摘要
继电保护系统是典型的多元件、多状态、不确定系统,其可靠性对电网安全极为重要。保护系统长期可靠性与元件可用度有关;短期可靠性与元件可用度和状态初值有关。为确定关键元件,提高保护系统可靠性,针对继电保护系统长期和短期可靠性评估,提出状态概率对可靠性参数的灵敏度算法。证明稳态状态概率可用转移率矩阵逆矩阵的最后一列表示,稳态状态概率的参数灵敏度,可用转移率矩阵及其偏导表示。证明瞬时状态概率的矩阵指数,可展开成矩阵级数后求导,随级数数增加导数最终收敛。以输电线路双重保护方案为例,验证了状态概率灵敏度模型的计算精度。
Protection systems are typical multi-element, multi-state, uncertain systems, whose reliability is critical to power system security. The long-term reliability is decided by element availability, and short-term reliability is decided by element availability and initial state. To quantify the critical element and improve reliability of protection systems, sensitivity models are proposed to quantify the contribution of the transition rates to the long and short-term state probabilities. The steady-state probability is proved to be the last column of the inverse of the transition matrix, whose sensitivity is given by the transition matrix and its derivative. The instantaneous probability is given by a matrix exponential, whose sensitivity is defined as the derivative of a matrix series, which converges with limited terms. The proposed algorithm is validated by a dual protection scheme of transmission lines.
出处
《电力系统保护与控制》
EI
CSCD
北大核心
2013年第1期120-126,共7页
Power System Protection and Control
基金
国家自然科学基金(51277049)~~
关键词
保护系统
可靠性
灵敏度
稳态状态概率
瞬时状态概率
protection system
reliability
sensitivity
steady-state probability
instantaneous state probability
