NDLI: Reactive power planning using convex line-wise power balance equations for radial distribution systems

Content Provider	IET Digital Library
Author	Aldik, Abdelrahman Venkatesh, Bala
Abstract	Optimal capacitor placement for radial distribution systems (RDSs) considers minimising the total cost of new fixed capacitors, switchable capacitors, and losses, while satisfying power balance equations, limits on bus voltages and capacitor limits. It is a non-convex mixed-integer non-linear programming (MINLP) challenge. In this study, the authors propose a solution method using a line-wise model (LWM) of power balance equations. First, equations for LWM are presented with their Jacobian for solving the power flow problem using Newton–Raphson method. Then, an optimal non-convex MINLP capacitor placement formulation with LWM power balance equations is presented. Thereafter, it is transformed into a convex mixed-integer conic programming formulation using second-order conic relaxation. Both the non-convex and convex optimal capacitor placement formulations are used to study 69-bus and 136-bus RDS. The results are compared with a formulation that uses the branch flow model (BFM) for power balance equations. Results show that the non-convex LWM-based formulation is twice as fast when compared with the BFM-based formulation. The convex LWM-based formulation is from 4 to 30 times as fast when compared with the BFM-based formulation, demonstrating the benefits of the use of the LWM-based formulation for enhancing the solution space of the optimisation problem.
Starting Page	2399
Ending Page	2406
Page Count	8
ISSN	17518687
Volume Number	14
e-ISSN	17518695
Issue Number	Issue 12, Jun (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/14/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2019.1841
Journal	IET Generation, Transmission & Distribution
Publisher Date	2020-02-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	BFM-based Formulation Capacitor Limits Combinatorial Mathematics Convex Line-wise Power Balance Equation Convex LWM-based Formulation Convex Mixed-integer Conic Programming Formulation Convex Optimal Capacitor Placement Formulations Convex Programming Distribution Network Fixed Capacitor Integer Programming Line-wise Model Linear Programming Load Flow LWM Power Balance Equation Mixed-integer Nonlinear Programming Newton-Raphson Method Nonconvex LWM-based Formulation Nonconvex MINLP Challenge Nonlinear Programming Optimal Capacitor Placement Formulation Optimisation Optimisation Technique Other Power Apparatus And Electric Machine Power Capacitor Power Flow Problem Radial Distribution System Reactive Power Reactive Power Planning Satisfying Power Balance Equation Switchable Capacitor
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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