# A decomposition method for the long‐term scheduling of reservoirs in series

A decomposition method for the long‐term scheduling of reservoirs in series This paper presents a method for determining the weekly operating policy of a power system of n reservoirs in series; the method takes into account the stochasticity of the river flows. The method consists of rewriting the stochastic nonlinear optimization problem of n state variables as n −1 problems of two state variables which are solved by dynamic programing. The release policy obtained with this method for reservoir i is a function of the water content of that reservoir and of the total amount of potential energy stored in the downstream reservoirs. The method is applied to a power system of four reservoirs, and the results obtained are compared to the true optimum. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

# A decomposition method for the long‐term scheduling of reservoirs in series

Water Resources Research, Volume 17 (6) – Dec 1, 1981
6 pages

/lp/wiley/a-decomposition-method-for-the-long-term-scheduling-of-reservoirs-in-MOTvrJfnQj
Publisher
Wiley
ISSN
0043-1397
eISSN
1944-7973
D.O.I.
10.1029/WR017i006p01565
Publisher site
See Article on Publisher Site

### Abstract

This paper presents a method for determining the weekly operating policy of a power system of n reservoirs in series; the method takes into account the stochasticity of the river flows. The method consists of rewriting the stochastic nonlinear optimization problem of n state variables as n −1 problems of two state variables which are solved by dynamic programing. The release policy obtained with this method for reservoir i is a function of the water content of that reservoir and of the total amount of potential energy stored in the downstream reservoirs. The method is applied to a power system of four reservoirs, and the results obtained are compared to the true optimum.

### Journal

Water Resources ResearchWiley

Published: Dec 1, 1981

### References

• Optimal short‐term hydro scheduling from the principle of progressive optimality
Turgeon, Turgeon

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