Optimal Rule Curves For
Interconnected Reservoirs
Author(s)
A. Turgeon
Abstract
This paper shows that the optimal (or near-optimal) operating policy of a
reservoir feeding a hydroelectric powerplant can be determined with an optimal
rule curve. The method is based on the following fact: raising the level of a
reservoir feeding a powerplant is profitable as long as the gain due to the higher
head is greater than the loss due to the additional spillage. There consequently
exists a reservoir level t S at time t at which the expected energy generation is
maximized. The optimal rule curve is the curve that links the optimal levels
1 2 , ,..., T S S S . The paper also shows how to use this curve to operate the reservoir.
The problem is more complicated for several reservoirs in series since the
optimal level of each reservoir is a function of the levels of all the other
reservoirs. The paper shows how to solve the problem.
Keywords: multi-reservoir operation, rule curves, stochastic dynamic
programming, synthetic inflow scenarios.
1 Introduction
The problem of determining the optimal weekly operating policy of several
hydroelectric powerplants in series has been dealt with in the past, but always in
an approximate way. So far, nobody has succeeded in finding a global feedback
solution to the problem, i.e., an operating policy that depends on the content of
each reservoir and its inflows. Arvanitidis and Rosing [2], for instance, built an
aggregate model for all the installations on the river so as to have only one
reservoir to manage. The optimal operating policy of the aggregate reservoir,
determined with Stochastic Dynamic Programming (SDP), gives the total
amount of potential energy to release from the reservoirs each week, but not the
Keywords
multi-reservoir operation, rule curves, stochastic dynamic
programming, synthetic inflow scenarios.
Related Book
Other papers in this volume
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