Optimal redispatch and primary reserve allocation for power systems with uncertain load and generation

Abstract

Optimal redispatch and primary reserve allocation in transmission systems is considered in this paper. The transmission system is modeled with the linearized power flow equations. The power generation and load at the buses are modeled as nominal power supply and demand, tunable redispatch and primary control action, as well as uncertain load or generation variations. The challenge is how to distribute redispatch and primary reserve at minimal cost such that the power flow satisfies certain constraints even after unknown but bounded load and generation variations. These constraints reflect among others the maximal steady state frequency deviation and the loading limits of the individual power lines. The resulting optimization problem is reformulated as a linear programming problem that can be solved efficiently even for very large systems.