Open AccessA step size control scheme based on polynomial regression for continuation power flow calculation
Author(s) -
He Sun,
Quan Chen,
Xiaoming Dong
Publication year - 2019
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/371/5/052018
Subject(s) - continuation , tangent , mathematics , polynomial regression , polynomial , control theory (sociology) , sensitivity (control systems) , power (physics) , regression analysis , mathematical optimization , statistics , computer science , mathematical analysis , control (management) , engineering , geometry , physics , quantum mechanics , artificial intelligence , electronic engineering , programming language
Continuation power flow is an effective approach to analyse static voltage stability by accurately calculating the maximum loading point. To improve the efficiency of continuation power flow model by decreasing its calculation burden, a new step size control scheme for predictor-corrector steps is proposed in this study. Firstly, the predictor tangent vector is obtained according to Jacobin matrix. Secondly, the optimal parameter with the largest sensitivity to load power change is identified by recognizing biggest component in tangent predictor vector. Thirdly, polynomial regression between the optimal parameter and the power increment parameter is analysed. Finally, the improved self-adaption step size control scheme is established in terms of the obtained polynomial regression model. Studies based 14-bus test system are used to demonstrate the efficacy of the proposed scheme. For this study, specific point-to-point maximum loading is calculated.