BUILDING FLOOD-CONTROL RULE CURVES FOR MULTIPURPOSE MULTIRESERVOIR SYSTEMS USING CONTROLLABILITY CONDITIONS

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.