Chance constrained reserve scheduling using uncertain controllable loads Part I: Formulation and scenario-based analysis

Abstract

This paper develops a multi-period chance constrained optimal power flow model to schedule generation and reserves from both generators and aggregations of controllable electric loads. In contrast to generator-based reserve capacities, load-based reserve capacities are less certain because they depend on load usage patterns and ambient conditions. This paper is divided in two parts. In part I, we develop a reserve scheduling framework managing uncertain power from wind and uncertain reserves provided by controllable loads, and solve the problem using a probabilistically robust optimization method that may require large numbers of uncertainty scenarios but provides a priori guarantees on the ..