Abstract
We present in this paper a new attractive approach for solving the long-term optimal operating problem for a multireservoir power system. The problem is formulated as a minimum norm problem using functional analysis. A set of discrete optimizing equations is obtained. These equations are solved forward and backward in time to get the optimal solution.
The model used for each reservoir is a nonlinear model of the discharge and the average storage to avoid underestimation in the production for rising water levels and overestimation for falling water levels. The total benefits using this model is larger than the total benefits obtained using the model in [16], for the same system.
The computing time to get the optimal solution for a period of a year was 3.5 sec. in CPU units, which is very small compared to what has been done so far using other approaches. (In [17] the computing time for NCVP system using dynamic programming was 10.3 min. in CPU units for a system of nine reservoirs for a period of one year optimization interval.)
This work was supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. A4146. The authors would like to acknowledge data obtained from B.C. Hydro, Vancouver, B.C.
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7. References
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Soliman, S.A., Christensen, G.S. (1987). A new approach for optimizing hydropower system operation with a quadratic model. In: Bulirsch, R., Miele, A., Stoer, J., Well, K.H. (eds) Optimal Control. Lecture Notes in Control and Information Sciences, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040215
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DOI: https://doi.org/10.1007/BFb0040215
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