基于多项式回归分析的连续潮流计算自适应步长控制策略  

Adaptive Step-size Control Strategy for Continuous Power Flow Calculation Based on Polynomial Regression Analysis

作　　者：孙华[1] 胡德文[1] 李丽[1] 禹静[1] SUN Hua;HU Dewen;LI Li;YU Jing(Technician Department,Shandong Labor Vocational and Technical College,Jinan 250022,China)

机构地区：[1]山东劳动职业技术学院技师部,济南250022

出　　处：《电力系统及其自动化学报》2020年第11期1-6,共6页Proceedings of the CSU-EPSA

基　　金：山东劳动职业技术学院教科研资助项目(2018KJ03)。

摘　　要：为提高连续潮流计算效率,增强算法适用性,针对预测-矫正过程的步长控制方法提出了改进策略。在基准点处潮流数值解的基础上,利用雅克比矩阵计算反映系统变量变化的切向预测量。选择切向量中模值最大分量所对应的变量为最优参量,选择连续潮流预测-矫正步中前后关联的3组计算数据为分析对象,对功率增长参数与最优参量之间的非线性关系进行多项式回归分析。依据回归分析所得到的多项式回归系数,构建自适应的连续潮流步长控制策略。基于IEEE 14节点测试系统的算例分析表明有效改进了算法的计算效率,并以点对点的静态电压稳定鞍结分岔点计算为例验证了其实用性。To improve the efficiency of continuous power flow calculation and enhance the applicability of the corre⁃sponding algorithm,an improved strategy is proposed for the step-size control method in the prediction-correction pro⁃cess.First,based on the numerical solution of power flow at the datum point,the tangential predictions that reflect the changes in system variables are calculated by means of Jacobian matrix.Then,the variables corresponding to the maxi⁃mum modulus component in tangent vectors are selected as the optimal parameters,and the three associated groups of calculation data in the prediction-correction step of continuous power flow are selected as the analysis objects.After⁃wards,the non-linear relationship between the power growth parameters and optimal parameters is analyzed by polyno⁃mial regression.Based on the polynomial regression coefficients obtained using the regression analysis,an adaptive step-size control strategy for continuous power flow is constructed.The results of an example based on an IEEE 14-bus test system show that the novel strategy can effectively improve the calculation efficiency.In addition,the practicability of the proposed method is verified by calculating the saddle node bifurcation point of static voltage stability in a point-topoint manner.

关 键 词：静态电压稳定 连续潮流计算 最大负荷裕度 鞍结分岔点 步长控制策略 

分 类 号：TM711[电气工程—电力系统及自动化]