Jl. Marien et al., BUILDING FLOOD-CONTROL RULE CURVES FOR MULTIPURPOSE MULTIRESERVOIR SYSTEMS USING CONTROLLABILITY CONDITIONS, Water resources research, 30(4), 1994, pp. 1135-1144
Building flood control rule curves (FCRC) for multipurpose multireserv
oir systems involves treating simultaneously the stochasticity of futu
re inflows and the multivariate aspect of the problem. The study demon
strates how theoretical findings concerning flood control multireservo
ir systems regulation obtained by Marien (1984) (the so-called control
lability conditions) can be used to build generalized FCRC in multipur
pose multireservoir systems. These FCRC are generalized FCRC in the se
nse that they consist of a time varying constraint set on the needed e
mpty space provisions in the different reservoirs of the system. The a
pplicability of the proposed technique is enhanced by the derivation o
f new controllability conditions for systems with more than one flood
control section and mandatory releases. By means of several examples,
it is shown how the proposed methodology is superior to the approach w
hich consists of lumping all the reservoirs of the system into a singl
e imaginary reservoir. A practical example with an eight-reservoir hyd
ropower system in Brazil demonstrates the applicability of the methodo
logy.