Gibbs Sampling for Game-Theoretic Modeling of Private Network Upgrades with Distributed Generation

Andoni, M. , Robu, V., Flynn, D. and Friüh, W.-G. (2018) Gibbs Sampling for Game-Theoretic Modeling of Private Network Upgrades with Distributed Generation. In: 2018 IEEE PES Innovative Smart Grid Technologies Conference Europe, Sarajevo, Bosnia and Herzegovina, 21-25 Oct 2018, ISBN 9781538645055 (doi: 10.1109/ISGTEurope.2018.8571545)

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Abstract

Renewable energy is increasingly being curtailed, due to oversupply or network constraints. Curtailment can be partially avoided by smart grid management, but the long term solution is network reinforcement. Network upgrades, however, can be costly, so recent interest has focused on incentivising private investors to participate in network investments. In this paper, we study settings where a private renewable investor constructs a power line, but also provides access to other generators that pay a transmission fee. The decisions on optimal (and interdependent) renewable capacities built by investors, affect the resulting curtailment and profitability of projects, and can be formulated as a Stackelberg game. Optimal capacities rely jointly on stochastic variables, such as the renewable resource at project location. In this paper, we show how Markov chain Monte Carlo (MCMC) and Gibbs sampling techniques, can be used to generate observations from historic resource data and simulate multiple future scenarios. Finally, we validate and apply our game-theoretic formulation of the investment decision, to a real network upgrade problem in the UK.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Andoni, Dr Merlinda and Flynn, Professor David
Authors: Andoni, M., Robu, V., Flynn, D., and Friüh, W.-G.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Proceedings - 2018 IEEE PES Innovative Smart Grid Technologies Conference Europe, ISGT-Europe 2018
ISBN:9781538645055
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