大规模交直流系统潮流计算的实用化模型  

Practical Model for Large-scale AC-DC System Power Flow Calculation

作　　者：覃智君[1] 侯云鹤[2] 吴复立[2] 

机构地区：[1]广西大学电气工程学院,广西壮族自治区南宁市530004 [2]香港大学电机电子工程系

出　　处：《中国电机工程学报》2011年第10期95-101,共7页Proceedings of the CSEE

基　　金：美国电力科学研究院研究基金项目(EP-P35571/C16133;EP-P35424/C16059);香港研究资助局研究基金项目(RGC-HKU7124/10E);香港大学基础研究基金项目(201001159007)~~

摘　　要：给出了一种不发散的大规模交直流系统潮流计算的实用化模型。通过在交直流潮流方程组引入一组松弛量,将常规的潮流计算转换为松弛量平方和最小的非线性规划模型。在该模型中引入不等式约束以反映运行约束及直流控制方式。采用内点法求解该模型,减少修正方程的维数,使之与牛顿–拉夫逊潮流计算修正方程具有完全相同的维数,而且修正方程的系数矩阵具有对称正定特性。采用近似最小度(approximate minimum degree,AMD)算法与改进平方根分解法来求解修正方程以提高程序计算速度。该模型具有如下特点:无需特殊的初值计算环节;能够适应具有大量小阻抗与负阻抗支路的系统;在潮流有解、潮流无解、可行域边界附近具有良好的、一致的收敛性。在6891节点含8回高压直流输电(high voltage direct current,HVDC)线路的测试系统的潮流计算中验证了所提算法的有效性和高效性。This paper proposes a robust, non-divergent model for large-scale AC-DC power flow calculation. By introducing relaxation parameters into power flow equations, the conventional power flow model was turned into a non-linear programming model to minimize the sum of squares of the relaxation parameters with operation constrains and DC station control modes. The interior point method （IPM） was used to solve the model. The dimension of the correction equations was reduced into the same size as that of conventional Newton-Raphson method. Cholesky factorization with approximation minimum degree （AMD） algorithm was utilized to solve the correction equations to improve the implementation efficiency. The proposed model and algorithm have the following features： 1） no special start process is needed; 2） it has strong robustness for power grids with plenty of small or negative impedance branches; 3） it has robust convergent properly in the feasible region, around the boundary of the feasible region and beyond the feasible region. Power flow calculation on test system with 6891 buses and 8 high voltage direct current （HVDC） transmission lines validated the efficiency of the proposed algorithm.

关 键 词：交直流潮流计算 牛顿一拉夫逊法 最优乘子 高压直流输电 最小化技术 内点法 

分 类 号：TM74[电气工程—电力系统及自动化]