Derivatives in Probabilistic Simulations of Electric Power System Operations

Derivatives associated with production simulations provide valuable guidance in electric system planning, but they have been calculated only recently. We present a closed-form and computationally efficient expression for the derivatives, based on the cumulant implementation of the equivalent load methodology. The paper calculates the derivative of energy served by each generating resource with respect to the capacity of any resource. The general method can be extended to calculate other derivatives of interest for resource planning.