Structured Analysis Reveals Fundamental Mathematical Relationships between Wind and Solar Generations and the United Kingdom Electricity System
Anthony D Stephens, David R Walwyn

TL;DR
This paper analyzes the relationship between wind and solar energy and the UK electricity system, predicting future efficiency and shedding levels, and introduces a generic model for system configuration analysis without computer simulations.
Contribution
It introduces a novel generic model for assessing wind and solar integration in the UK electricity system, providing insights into efficiency and decarbonisation potential.
Findings
At least one third of wind and solar generation may need to be shed in 2035.
The 2035 Scenario shows low Marginal Decarbonisation Efficiency.
A new generic model enables future system configuration analysis without computer simulations.
Abstract
The use of wind and solar generation is fundamental to the decarbonisation of the United Kingdom electricity system. However, the optimal level of renewable energy as a proportion of total demand is still being debated. In this paper, several models, whose aims are to predict the efficiency of future system configurations, are explained. The models use historic records from the Gridwatch website for the year 2017, which are then scaled accordingly. The model predictions are first demonstrated for the 2035 Scenario as proposed by the National Grid in FES 2022. The analysis reveals that at least one third of the available wind and solar generation will exceed the ability of the electricity system to use it and will have to be shed. By defining an efficiency measure, the Marginal Decarbonisation Efficiency, which quantifies the incremental extent to which wind generation can decarbonise…
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Taxonomy
TopicsIntegrated Energy Systems Optimization · Hybrid Renewable Energy Systems · Renewable Energy and Sustainability
