Guaranteeing a physically realizable battery dispatch without charge-discharge complementarity constraints

TL;DR

This paper introduces a new linear battery optimization model that guarantees physically realizable dispatch without complex complementarity constraints, ensuring energy constraints are satisfied and improving computational robustness.

Contribution

The paper presents a novel linear formulation for battery dispatch that avoids non-convex complementarity constraints and guarantees physical realizability.

Findings

Guarantees all energy constraints are satisfied.

Reduces computational complexity by avoiding non-convex constraints.

Demonstrates effectiveness through simulation results.

Abstract

The non-convex complementarity constraints present a fundamental computational challenge in energy constrained optimization problems. In this work, we present a new, linear, and robust battery optimization formulation that sidesteps the need for battery complementarity constraints and integers and prove analytically that the formulation guarantees that all energy constraints are satisfied which ensures that the optimized battery dispatch is physically realizable. In addition, we bound the worst-case model mismatch and discuss conservativeness. Simulation results further illustrate the effectiveness of this approach.