NDLI: Solving OPF using linear approximations: fundamental analysis and numerical demonstration

Content Provider	IET Digital Library
Author	Yang, Zhifang Zhong, Haiwang Xia, Qing Kang, Chongqing
Abstract	Due to the unique advantages in computational robustness and convergence, the linear approximation approach is and will remain to be an important method to solve the optimal power flow (OPF) problem, especially for industrial applications. The DC power flow method, which is currently used in the majority of power industries, is the representative. Many studies extend the DC power flow method by including voltage magnitude, reactive power, and losses. This study provides a detailed analysis and breakdown investigation of existing linear approximations of the OPF problem. The formulation and accuracy of existing linear approximations are compared. Taking advantage of the decoupled formulation of linear approximations, the property of power flow equations is illustrated from a new perspective. Why reactive power flow equations are hard to linearise is explained theoretically. The numerical performance of existing linear approximations is demonstrated in IEEE and Polish test systems. Evidence from the theoretical analysis and numerical studies shows that the accuracy of linear approximations could be substantially improved using a mathematical transformation of the non-linear voltage magnitude term. This finding provides a new research direction for solving the OPF problem using linear approximations.
Starting Page	4115
Ending Page	4125
Page Count	11
ISSN	17518687
Volume Number	11
e-ISSN	17518695
Issue Number	Issue 17, Nov (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/11/17
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2017.1078
Journal	IET Generation, Transmission & Distribution
Publisher Date	2017-09-12
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory DC Power Flow Method IEEE Test System Interpolation And Function Approximation Linear Approximation Approach Load Flow Mathematical Transformation Nonlinear Voltage Magnitude Term Numerical Analysis Numerical Performance OPF Optimal Power Flow Problem Polish Test System Power Industries Power System Reactive Power Reactive Power Flow Equation
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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