NDLI: Locating all real solutions of power flow equations: a convex optimisation-based method

Content Provider	IET Digital Library
Author	Liu, Bin Wei, Wei Liu, Feng
Abstract	This study proposes a convex optimisation-based method that either locates all real roots of a set of power flow (PF) equations or declares no real solution exists in the given area. In the proposed method, solving the PF equations is reformulated as a global optimisation problem (GPF for short) that minimises the sum of slack variables. All the global minima of GPF with a zero objective value have a one-to-one correspondence to the real roots of PF equations. By solving a relaxed version of GPF over a hypercube, if the optimal value is strictly positive, there is no solution in this area and the hypercube is discarded. Otherwise the hypercube is further divided into smaller ones. This procedure repeats recursively until all the real roots are located in small enough hypercubes through the successive refinement of the feasible region embedded in a bisection paradigm. This method is desired in a number of power system security assessment applications, for instance, the transient stability analysis as well as voltage stability analysis, where the closest unstable equilibrium and all Type I unstable equilibrium is required, respectively. The effectiveness of the proposed method is verified by analysing several test systems.
Starting Page	2273
Ending Page	2279
Page Count	7
ISSN	17518687
Volume Number	12
e-ISSN	17518695
Issue Number	Issue 10, May (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/12/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2017.1870
Journal	IET Generation, Transmission & Distribution
Publisher Date	2018-02-15
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Bisection Paradigm Convex Optimisation-based Method Convex Programming Global Optimisation Problem GPF Load Flow Optimisation Technique PF Equation Power Flow Equation Power System Control Power System Security Power System Security Assessment Application Power System Transient Stability Transient Stability Analysis Type I Unstable Equilibrium Voltage Stability Analysis
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Solution techniques for transient stability-constrained optimal power flow – Part I

A Continuation-Based Method to Compute the Relevant Unstable Equilibrium Points for Power System Transient Stability Analysis

Improved affine arithmetic based optimisation model for interval power flow analysis

Mixed integer linear formulation for undervoltage load shedding to provide voltage stability

Numerical polynomial homotopy continuation method to locate all the power flow solutions

Voltage stability control of power systems using reduced network based optimisation

Dynamic computing paradigm for comprehensive power flow analysis

Available transfer capability analysis method of AC–DC power system based on security region

Enhanced particle swarm optimisation applied for transient angle and voltage constrained discrete optimal power flow with flexible AC transmission system

Locating all real solutions of power flow equations: a convex optimisation-based method

Similar Documents

Solution techniques for transient stability-constrained optimal power flow – Part I

A Continuation-Based Method to Compute the Relevant Unstable Equilibrium Points for Power System Transient Stability Analysis

Improved affine arithmetic based optimisation model for interval power flow analysis

Mixed integer linear formulation for undervoltage load shedding to provide voltage stability

Numerical polynomial homotopy continuation method to locate all the power flow solutions

Voltage stability control of power systems using reduced network based optimisation

Dynamic computing paradigm for comprehensive power flow analysis

Available transfer capability analysis method of AC–DC power system based on security region

Enhanced particle swarm optimisation applied for transient angle and voltage constrained discrete optimal power flow with flexible AC transmission system

Locating all real solutions of power flow equations: a convex optimisation-based method