The Equivalence between Successive Approximations and Matricial Load Flow Formulations

Applied Sciences

HaroldR. Chamorro¹  Lazaro Alvarado-Barrios²  MaríaCamila Herrera-Briñez³  OscarDanilo Montoya⁴ 

[1] Department of Electrical Engineering at KTH, Royal Institute of Technology, SE-44 100 Stockholm, Sweden;Department of Engineering, Universidad Loyola Andalucía, 41704 Sevilla, Spain;Estudiante de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia;Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia;

关键词: successive approximations method;    matricial backward/forward method;    load flow analysis;    electrical distribution networks;    equivalent formulations;   

DOI  :  10.3390/app11072905

来源: DOAJ

【 摘 要 】

This paper shows the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach. Both formulations allow solving the load flow problem in meshed and radial distribution grids even if these are operated with alternating current (AC) or direct current (DC) technologies. Both load flow methods are completely described in this research to make a fair comparison between them and demonstrate their equivalence. Numerical comparisons in the 33- and 69-bus test feeder with radial topology show that both methods have the same number of iterations to find the solution with a convergence error defined as $1\times {10}^{-10}$.

【 授权许可】

Unknown