Estimating the Energy Rate Function for Hydro Power Production Optimization

by Karolj K. Reznicek, Univ of Manitoba, Canada,
Slobodan P. Simonovic, Univ of Manitoba, Canada,

Document Type: Proceeding Paper

Part of: Optimizing the Resources for Water Management


Operations planning at Manitoba Hydro is aided by using the Energy Management and Maintenance Analysis (EMMA) computer program. EMMA is a Linear Programming (LP) based model with the objective of maximizing system revenue and minimizing generation costs. Due to the nonlinear character of the hydro production function an approximation has to be introduced in order to apply the LP problem formulation. EMMA approximates the hydro production function by assuming a constant head from one iteration to the other. At the University of Manitoba a Successive Linear Programming (SLP) approach is applied to solve the same optimization problem. SLP approximates the hydro production function by a first order Taylor series expansion around the chosen points of the solution space. The approach requires a smooth and differentiable analytic function for the energy rate function to be derived. The paper presents the direct application of the regression analysis to the measured data to derive the energy rate function. The approach is illustrated using the data for Kettle reservoir in Manitoba.

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