A tighter convex inner approximation plus fairness-aware allocation indicates that roughly 5% annual solar curtailment can increase a test feeder's solar hosting capacity by about 50% without line or voltage violations, with positive net profit when carbon revenue is counted.
A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems
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abstract
The article develops a parametric model of fairness called "$\varepsilon$-fairness" that can be represented using a single second-order cone constraint and incorporated into existing decision-making problem formulations without impacting the complexity of solution techniques. We develop the model from the fundamental result of finite-dimensional norm equivalence in linear algebra and show that this model has a closed-form relationship to an existing metric for measuring fairness widely used in the literature. Finally, a simple case study on the optimal operation of a damaged power transmission network illustrates its effectiveness.
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Fairness-aware Dynamic Hosting Capacity and the Impacts of Strategic Solar PV Curtailment
A tighter convex inner approximation plus fairness-aware allocation indicates that roughly 5% annual solar curtailment can increase a test feeder's solar hosting capacity by about 50% without line or voltage violations, with positive net profit when carbon revenue is counted.