A mathematical model is derived, simulating the dynamic behavior of a cavern-type (constant volume) compressed air energy storage system (CAES). With the aid of the model, optimal control of the system decision variables, namely: charging and discharging timing and duration as well as the fuel injection policy are determined by periodic dynamic programming method. The performance criterion is maximizing the net benefits over the operation cycle. An algorithm for numerical solution of the problem is presented and computational results for an example representing a real plant are given.

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