NDLI: Warm-start piecewise linear approximation-based solution for load pick-up problem in electrical distribution system

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Warm-start piecewise linear approximation-based solution for load pick-up problem in electrical distribution system

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Warm-start piecewise linear approximation-based solution for load pick-up problem in electrical distribution system

Content Provider	IET Digital Library
Author	Yun, Jingyang Hu, Weidong Zhou, Yun Yan, Zheng Feng, Donghan Li, Naihu
Abstract	As the core sub-problem of both network reconfiguration and service restoration of the electrical distribution system (EDS), the load pick-up (LPP) problem in EDS searches the optimal configuration of the EDS, aiming to minimise the power loss or provide as much power as possible to load ends. The piecewise linearisation (PWL) approximation method can be used to tackle the network power flow constraints’ non-linearity in the LPP problem model, and transform the LPP model into a mixed-integer linear programming model (LPP-MILP model). The errors in the PWL approximation of the network power flow constraints may affect the feasibility of the solving results of the LPP-MILP model. The single method to reduce the PWL approximation errors by increasing the number of discretisations in PWL function is not stable. Moreover, the solution efficiency of the LPP-MILP model is sacrificed severely. In this study, a warm-start PWL approximation-based solution for the LPP problem is proposed. The variable upper bounds in the PWL approximation functions are renewed dynamically in the warm-start solution procedure to reduce the PWL approximation errors with higher computational efficiency. Modified IEEE 33-bus radial distribution test system and a real and large distribution system, 1066-bus system, are used to test and verify the effectiveness and robustness of the proposed methodology.
Starting Page	385
Ending Page	393
Page Count	9
Volume Number	3
e-ISSN	25152947
Issue Number	Issue 3, Jun (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-stg/3/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-stg.2019.0194
Journal	IET Smart Grid
Publisher	The Institution of Engineering and Technology
Publisher Date	2020-04-07
Access Restriction	Open
Rights License	Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Subject Keyword	Approximation Theory Core Sub-problem Distributed Power Generation Distribution Network EDS Electrical Distribution System Integer Programming Interpolation And Function Approximation Linear Programming Load Flow Load Pick-up Problem LPP Model LPP Problem Model LPP-MILP Model Mixed-integer Linear Programming Model Network Power Flow Constraint Network Reconfiguration Numerical Analysis Optimisation Technique Piecewise Linear Technique Piecewise Linearisation Approximation Method Power Loss PWL Approximation Error PWL Approximation Function PWL Approximation-based Solution PWL Function Radial Distribution Test System Service Restoration Warm-start Piecewise Linear Approximation-based Solution
Content Type	Text
Resource Type	Article

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