Demand Response Under Stochastic, Price-Dependent User Behavior
This work addresses the challenge of implementing effective demand response in electricity grids for utilities and consumers, though it is incremental as it extends existing models to a stochastic framework.
The paper tackles the problem of residential demand response under uncertain, price-dependent user behavior by proposing stochastic, feedback-based pricing strategies to compensate for estimation errors, demonstrating stability and near-optimality with numerical validation.
This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented by price-dependent random variables, leveraging models and tools from the theory of stochastic optimization with decision-dependent distributions. The inherent epistemic uncertainty in the customers' responses renders open-loop, model-based DR strategies impractical. To address this challenge, the paper proposes to employ stochastic, feedback-based pricing strategies to compensate for estimation errors and uncertainty in customer response. The paper then establishes theoretical results demonstrating the stability and near-optimality of the proposed approach and validates its effectiveness through numerical simulations.