Open AccessResearch on three‐phase optimal power flow for distribution networks based on constant Hessian matrix
Author(s) -
Zhao Fengzhan,
Zhao Tingting,
Ju Yuntao,
Ma Kang,
Zhou Xianfei
Publication year - 2018
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2017.0889
Subject(s) - hessian matrix , constant (computer programming) , power flow , matrix (chemical analysis) , flow (mathematics) , power (physics) , distribution (mathematics) , mathematics , phase (matter) , mathematical optimization , computer science , topology (electrical circuits) , mathematical analysis , physics , electric power system , materials science , geometry , combinatorics , thermodynamics , quantum mechanics , composite material , programming language
The optimal power flow (OPF) problem for active distribution networks with distributed generation (DG) and a variety of discretely adjustable devices (e.g. on‐load tap‐changers, OLTCs) is essentially a non‐convex, non‐linear, mixed‐integer optimisation problem. In this study, the quadratic model of three‐phase OLTCs is proposed by adding branch currents as unknown variables, which guarantee a constant Hessian matrix throughout iterations. This study proposes a three‐phase OPF model for active distribution networks, considering a three‐phase DG model. The OPF model is solved by an interior point method incorporating a quadratic penalty function as opposed to a Gaussian penalty function. Furthermore, a voltage regulator is also incorporated into the OPF model to form an integrated regulation strategy. The methodology is tested and validated on the IEEE 13‐bus three‐phase unbalanced test system.