基于联络线功率限制的多平衡机状态估计算法  

State estimation algorithm for multi-balancing machines based on power limits in interconnecting lines

作　　者：孙国强[1] 卫志农[1] 叶芳[1] 黄伟[2] 

机构地区：[1]河海大学能源与电气学院,南京210098 [2]云南电力调度中心,昆明650011

出　　处：《东南大学学报（自然科学版）》2010年第5期957-962,共6页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(50877024);河海大学自然科学基金资助项目(2009421411)

摘　　要：为了满足互联电网多平衡机设置和联络线功率限制的要求,通过推导多平衡机设置下的量测函数及其雅克比矩阵,提出了2种计及联络线功率约束的多平衡机电力系统状态估计算法:整体式算法和分布式算法.其中,整体式算法将联络线功率作为等式约束条件,采用拉格郎日乘子法推导得出求解模型,统一迭代求解各区域的状态变量;分布式算法在搭接式分区方法的基础上,对各区域分开处理,将分区后的边界等式约束条件分别计入各自的目标函数中,再通过拉格朗日乘子法实现区域间的分布式计算.分别对IEEE-14,IEEE-30,IEEE-57节点算例进行仿真计算.仿真结果验证了模型的正确性和有效性,表明分布式算法的计算速度和精度均优于整体式算法.To meet the requirements of multi-balancing machines＇ settings and power limitations in interconnecting lines,the measurement functions and the corresponding Jacobian matrix are deduced.And two state estimation algorithms,the entire algorithm and the distributed algorithm,for multi-balancing machines incorporating power limits in interconnecting lines are proposed.In the entire algorithm,the transmission power limits are considered as equality constraints.The calculation model is derived by the Lagrange multiplier method and the state variables in each region are calculated by iterations.In the distributed algorithm,each region is treated separately based on the overlapped distributed method,and the boundary equality constrains are included into the corresponding objective functions.Then,the distributed state estimation is implemented by the Lagrange multiplier method.Numerical examples of IEEE-14,IEEE-30 and IEEE-57 bus test systems are given.The simulation results show that the proposed models are correct and effective.In addition,the calculation speed and precision of the distributed algorithm are higher than those of the entire algorithm.

关 键 词：状态估计 多平衡机 等式约束 功率限制 分布式处理 

分 类 号：TM743[电气工程—电力系统及自动化]