基于全纯嵌入法的非迭代电力系统最优潮流计算  

Non-Iterative Optimal Power Flow Calculation Based on Holomorphic Embedding Method

作　　者：刘承锡 徐慎凯 赖秋频 Liu Chengxi;Xu Shenkai;Lai Qiupin(School of Electrical Engineering and Automation Wuhan University,Wuhan 430072 China)

机构地区：[1]武汉大学电气与自动化学院,武汉430072

出　　处：《电工技术学报》2023年第11期2870-2882,共13页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(52007133)。

摘　　要：通过求解电力系统最优潮流获得各发电机的有功出力对于电力系统经济运行具有重要意义。全纯嵌入法是一种用于潮流计算的非迭代算法。该文将全纯嵌入法应用于最优潮流的求解,首先推导出约束条件和KKT条件的全纯嵌入形式;然后通过上述两组方程交叉得到求解通式,递归地计算出节点电压和发电机有功出力的表达式;最后根据解析表达式直接得到各发电机的有功出力,进而计算系统的最低发电成本。在IEEE 3节点、4节点、30节点、118节点和新英格兰39节点电力系统上的仿真结果验证了所提方法的可行性和准确性。It is very important to obtain the active power output of each generator by solving the optimal power flow(OPF)for the economic operation of power system.The traditional methods mainly include simplified model,convex relaxation and intelligent algorithm,but these methods also have some shortcomings such as imprecision and dependence on the initial value.Holomorphic embedding method(HEM)is a new method used in power flow calculation and it ensures convergence through proper holomorphic embedding forms.HEM has the advantages of non-iteration,recursion,analyzability,no dependence on the initial value,and the obtained solution is a runnable point.Based on these above advantages,HEM is used to solve the OPF flow,and a non-iterative OPF calculation method based on HEM is proposed.Firstly,taking a 3-bus power system as an example,the objective function is the lowest generating cost,and the active power output of the generator is optimized.Secondly,constraints and KKT conditions of the optimization model are listed.Based on the basic construction rules of HEM,the holomorphic embedding forms of constraints and KKT conditions are constructed.Thirdly,according to the basic properties of holomorphic functions,the recursive equations of power series coefficients of analytic expressions of bus voltage and generator active power output are derived.Finally,coefficients can be obtained by the cross recursion of the above two sets of equations,and the generating cost is obtained.Simulation results on IEEE 3-bus,4-bus,30-bus and 39-bus New England power systems show that the HEM is convergent when solving the OPF.The calculation result of the active power output of generators and the bus voltage are close to the reference value,and the error is less than 1%in the first two power systems.In the four systems,the convergence accuracy is achieved at the 6th,8th,10th and 12th order respectively.For the result of the objective function,the error of the results calculated by HEM reaches to 10-6 in the first two systems.The source of error

关 键 词：最优潮流 全纯嵌入法 非迭代 KKT条件 发电成本 

分 类 号：TM744[电气工程—电力系统及自动化]