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Approaching Prosumer Social Optimum via Energy Sharing With Proof of Convergence
- Source :
- CISS
- Publication Year :
- 2021
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2021.
-
Abstract
- With the advent of prosumers, the traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this paper, an energy sharing mechanism is proposed to accommodate prosumers' strategic decision-making on their self-production and demand in the presence of capacity constraints. Under this setting, prosumers play a generalized Nash game. We prove main properties of the game: an equilibrium exists and is partially unique; no prosumer is worse off by energy sharing and the price-of-anarchy is 1-O(1/I) where I is the number of prosumers. In particular, the PoA tends to 1 with a growing number of prosumers, meaning that the resulting total cost under the proposed energy sharing approaches social optimum. We prove that the corresponding prosumers' strategies converge to the social optimal solution as well. Finally we propose a bidding process and prove that it converges to the energy sharing equilibrium under mild conditions. Illustrative examples are provided to validate the results.<br />Comment: 15 pages, 8 figures; accepted by IEEE Transactions on Smart Grid
- Subjects :
- Mathematical optimization
General Computer Science
Energy management
Computer science
Total cost
020209 energy
02 engineering and technology
Supply and demand
symbols.namesake
Sharing economy
Convergence (routing)
FOS: Mathematics
0202 electrical engineering, electronic engineering, information engineering
Mathematics - Optimization and Control
Social optimum
Flexibility (engineering)
Mechanism design
business.industry
020208 electrical & electronic engineering
Bidding
Energy sharing
Optimization and Control (math.OC)
Nash equilibrium
Distributed generation
Peer to peer computing
symbols
business
Prosumer
Subjects
Details
- ISSN :
- 19493061 and 19493053
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Smart Grid
- Accession number :
- edsair.doi.dedup.....3c8741080207538944a440003e3e0ca6