NDLI: Global solution method for decentralised multi-area SCUC and savings allocation based on MILP value functions

Content Provider	IET Digital Library
Author	Zheng, Xiaodong Chen, Haoyong Xu, Yan Shen, Feifan Liang, Zipeng
Abstract	To address the issue that Lagrangian dual-function-based algorithms cannot guarantee convergence and global optimality for decentralised multi-area security constrained unit commitment (M-SCUC) problems, a novel decomposition and coordination method using mixed-integer linear programming (MILP) value functions is proposed. In the proposed solution method, first, each regional system operator sets the tie-line power injections as variational parameters in its regional SCUC model, and utilises a finite algorithm to generate an MILP value function, which returns the optimal generation cost for any given interchange plan. Then, with the value functions available from all system operators, theoretically, a coordinator is able to devise a globally optimal interchange plan. After the problem is solved, considering that power exchanges may alter the financial position of each area considerably from what it would have been via scheduling independently, the authors then propose a fair savings allocation method using the value functions derived above and the Shapley value in cooperative game theory. Numerical experiments on a two-area 12-bus system and a three-area 457-bus system were carried out. The validity of the value-function-based method was verified for the decentralised M-SCUC problem. The outcome of savings allocation was compared with that of the locational marginal cost-based method.
Starting Page	3230
Ending Page	3240
Page Count	11
ISSN	17518687
Volume Number	14
e-ISSN	17518695
Issue Number	Issue 16, Aug (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/14/16
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2020.0438
Journal	IET Generation, Transmission & Distribution
Publisher Date	2020-05-14
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Cooperative Game Theory Decentralised M-SCUC Problem Decentralised Multiarea Security Constrained Unit Commitment Problem Fair Savings Allocation Method Finite Algorithm Game Theory Generation Cost Globally Optimal Interchange Plan Integer Programming Lagrangian Dual-function-based Algorithm Linear Programming Locational Marginal Cost-based Method MILP Value Function Mixed-integer Linear Programming Value Function Optimisation Technique Power Generation Dispatch Power Generation Planning Power Generation Scheduling Power Market Power System Economics Power System Managemen Power System Operation Power System Planning And Layout Power System Protection Power System Security Regional System Operator Shapley Value Tie-line Power Injections Value-function-based Method
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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