电力系统单时滞稳定裕度求解模型简化方法

发布时间：2018-09-15 20:19

【摘要】：在利用线性矩阵不等式(LMI)判据求解电力系统时滞稳定裕度时,由于电力系统动态模型的维数通常很高,会导致待求解变量过多和求解时间过长。针对此问题,文中首先将包含单时滞环节的电力系统线性模型扩展为包含输入、输出环节的状态空间表达式;进一步,基于成熟的状态空间表达式降维方法,对扩展模型进行简化,在保留系统关键动态特性的基础上,大幅减少待求变量数;最后,基于简化模型,借助LMI及参数变换,形成新的更为高效的时滞稳定判据。将该方法应用于含时滞环节的WSCC 3机9节点和IEEE 10机39节点系统中,借助二分搜索算法对比了两种电力系统单时滞稳定裕度的求解结果,算例表明时滞系统经过模型简化后,稳定裕度计算结果与简化前相比误差较小,而所需计算时间有较大幅度减少。
[Abstract]:When the linear matrix inequality (LMI) criterion is used to solve the time-delay stability margin of power system, the dimension of power system dynamic model is usually very high, which leads to too many variables to be solved and a long time to be solved. In order to solve this problem, the linear model of power system with single time delay is extended to the state space expression of input and output links. The extended model is simplified to greatly reduce the number of variables to be solved on the basis of retaining the key dynamic characteristics of the system. Finally, based on the simplified model and with the help of LMI and parameter transformation, a new and more efficient time-delay stability criterion is formed. This method is applied to WSCC 3 machine 9 bus system and IEEE 10 machine 39 bus system with time delay. By using binary search algorithm, the results of solving the stability margin of two kinds of power system with single delay are compared. The example shows that the time delay system is simplified by the model. Compared with the results before simplification, the error of the stability margin calculation is smaller, and the calculation time is greatly reduced.
【作者单位】：智能电网教育部重点实验室天津大学;中国南方电网电力调度控制中心;
【基金】：国家重点基础研究发展计划(973计划)资助项目(2009CB219701) 国家自然科学基金资助项目(51277128) 南方电网公司科技项目(K-ZD2012-006) supported by National Basic Research Program of China(973 Program)(No.2009CB219701) National Natural Science Foundation of China(No.51277128) China Southern Power Grid Science and Technology Projects(No.K-ZD2012-006)
【分类号】：TM712

【参考文献】