Optimal Long-Term Operation of Electric Power Systems

augmented cost functional conjugate gradient method critical period curve fitting discrete integral discrete maximum principle dynamic programming equal to zero expected value fuel cost functional analysis functional in equation given by equations go to step Hilbert space hydro plants hydroelectric plants hydroelectric power hydrothermal power systems i e Rh inequality constraints Kuhn-Tucker multipliers Lagrange multipliers lower triangular matrix minimum norm approach minimum norm formulation multireservoir power system natural inflows nonlinear programming objective function operating policy optimal control optimal equations optimal long-term operation optimal solution optimization interval Problem Formulation random variables reservoir storage stochastic dynamic programming Subject to satisfying Substituting from equation thermal plants water conversion factor water head Water Resources Research