By the year 2050 the UK government has made it mandatory that we reduce our carbon emissions by 80%. In order to meet this target, lower carbon technologies such as the electrification of heating and transport will need to be introduced. Unfortunately this rising demand for electricity cannot be sustained with the current electricity infrastructure. Therefore a smart grid capable of incorporating an increasing number of generators is required.
These generators need to be coordinated efficiently in order to supply loads within the network whilst satisfying thermal limits of the transmission lines. The proposed solution is to model the network as a constraint satisfaction problem and then solve using constraint programming. However this is a centralised approach and therefore will have scaling issues when applied to a larger network.
To address these shortcomings we propose a decentralised message passing algorithm, max-sum, which scales well with the size of the network; since the size and number of messages sent, is only dependant on a local neighbourhood. Max-sum has been extended to incorporate thermal constraint satisfaction and to give priority to generators that use renewable resources while curtailing non-renewable generators.
The rest of this paper is organised as follows...
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