Abstract
In this chapter we discuss the optimal long-term operation of multireservoir power systems connected in series on a river for maximum total benefits from the system. This chapter begins with the problem formulation, where the problem is posed as a mathematical problem. The second section, Section 3.3.1, is concerned with the applications of dynamic programming with the decomposition approach to solve the problem. For a large-scale power system, the use of full stochastic dynamic programming to solve the problem is computationally infeasible for a system greater than three or four reservoirs. In Section 3.3.2, we develop a method to solve the problem using the minimum norm formulation in the framework of functional analysis optimization technique. We compare, for the same system, the results obtained using dynamic programming with the decomposition approach with those obtained using the minimum norm formulation approach (Refs. 3.7–3.10).
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© 1988 Plenum Press, New York
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Christensen, G.S., Soliman, S.A. (1988). Long-Term Operation of Reservoirs in Series. In: Optimal Long-Term Operation of Electric Power Systems. Mathematical Concepts and Methods in Science and Engineering, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5493-2_3
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DOI: https://doi.org/10.1007/978-1-4684-5493-2_3
Publisher Name: Springer, Boston, MA
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