NDLI: Interval method for uncertain power flow analysis based on Taylor inclusion function

Content Provider	IET Digital Library
Author	Liao, Xiaobing Liu, Kaipei Zhang, Yachao Wang, Kun Qin, Liang
Abstract	Interval arithmetic has been successfully applied to uncertain power flow analysis for power system, which aims at obtaining the upper and lower bounds of power flow solutions under interval uncertainties. However, traditional interval power flow (IPF) analysis method has embedded the interval computation into Newton iterative process, which makes interval solutions enlarge and huge computational load. In this study, the interval method based on Taylor inclusion function is proposed to solve the IPF problem. The interval mathematical model with interval variables is first established, and the solution of non-linear algebraic equations with interval variables is transformed into three sets of certain equations by using Taylor inclusion function, which is formed from certain power flow equations. Several test cases under interval uncertainties are employed to demonstrate the effectiveness of the proposed methodology. The results show that the proposed methodology can supply sufficient numerical accuracy with high computational efficiency compared with the interval iterative method and Monte Carlo simulation method.
Starting Page	1270
Ending Page	1278
Page Count	9
ISSN	17518687
Volume Number	11
e-ISSN	17518695
Issue Number	Issue 5, Mar (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/11/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2016.1344
Journal	IET Generation, Transmission & Distribution
Publisher Date	2017-01-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Computational Load Interpolation And Function Approximation Interval Arithmetic Interval Mathematical Model Interval Power Flow Analysis Interval Uncertainty Interval Variables Load Flow Newton Iterative Process Newton Method Nonlinear Algebraic Equation Nonlinear And Functional Equation Nonlinear Equation Numerical Analysis Power Flow Equation Power System Taylor Inclusion Function Uncertain Power Flow 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

Load flow analysis using generalised Hopfield neural network

Improved affine arithmetic based optimisation model for interval power flow analysis

Modified tensor method to power flow analysis

Dynamic optimal power flow model incorporating interval uncertainty applied to distribution network

Load flow calculation for droop-controlled islanded microgrids based on direct Newton–Raphson method with step size optimisation

Current injection-based Newton–Raphson power-flow algorithm for droop-based islanded microgrids

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

Transversality enforced Newton–Raphson algorithm for fast calculation of maximum loadability

Developed generalised unified power flow controller model in the Newton–Raphson power-flow analysis using combined mismatches method

Interval method for uncertain power flow analysis based on Taylor inclusion function

Similar Documents

Load flow analysis using generalised Hopfield neural network

Improved affine arithmetic based optimisation model for interval power flow analysis

Modified tensor method to power flow analysis

Dynamic optimal power flow model incorporating interval uncertainty applied to distribution network

Load flow calculation for droop-controlled islanded microgrids based on direct Newton–Raphson method with step size optimisation

Current injection-based Newton–Raphson power-flow algorithm for droop-based islanded microgrids

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

Transversality enforced Newton–Raphson algorithm for fast calculation of maximum loadability

Developed generalised unified power flow controller model in the Newton–Raphson power-flow analysis using combined mismatches method

Interval method for uncertain power flow analysis based on Taylor inclusion function