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A Global Solution Method for Decentralized Multi-Area SCUC and Savings Allocation Based on MILP Value Functions
- Source :
- IET Generation, Transmission & Distribution, vol. 14, no. 16, pp. 3230-3240, 21 8 2020
- Publication Year :
- 2019
-
Abstract
- To address the issue that Lagrangian dual function based algorithms cannot guarantee convergence and global optimality for decentralized multi-area security constrained unit commitment (M-SCUC) problems, a novel decomposition and coordination method using MILP (mixed integer linear programming) value functions is proposed in this paper. Each regional system operator sets the tie-line power injections as variational parameters in its regional SCUC model, and utilizes a finite algorithm to generate a MILP value function, which returns the optimal generation cost for any given interchange scheduling. With the value functions available from all system operators, theoretically, a coordinator is able to derive a globally optimal interchange scheduling. Since power exchanges may alter the financial position of each area considerably from what it would have been via scheduling independently, we then propose a fair savings allocation method using the values 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 are carried out. The validness of the value functions based method is verified for the decentralized M-SCUC problems. The outcome of savings allocation is compared with that of the locational marginal cost based method.<br />Comment: 8 pages, 7 figures
- Subjects :
- Electrical Engineering and Systems Science - Systems and Control
Subjects
Details
- Database :
- arXiv
- Journal :
- IET Generation, Transmission & Distribution, vol. 14, no. 16, pp. 3230-3240, 21 8 2020
- Publication Type :
- Report
- Accession number :
- edsarx.1906.07126
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1049/iet-gtd.2020.0438