Long-term optimal operation of series-parallel reservoirs for critical period with specified monthly generation

This paper presents an attractive and efficient approach to solve the long-term optimal operating problem of multireservoir power systems for critical water conditions. The systems described in this paper are characterized by a variable monthly load. This load is equal to a certain percentage from the total hydrogeneration at the end of the year, a^k. We construct a cost functional which penalizes state (storage) and control (release) variables. The cost functional is augmented by using Lagrange and Kuhn-Tucker multipliers to adjoin the equality and inequality constraints. The problem is formulated as a minimum norm problem in the framework of functional analysis optimization technique. A new set of optimal equations is obtained. Numerical results are reported for a real system in operation consisting of two rivers, with each river having two series reservoirs.