Stochastic control of a micro-dam irrigation scheme for dry season farming

Show simple item record Unami, K. Yangyuoru, M. Alam, A.H.M.B. Kranjac-Berisavljevic, G. 2012-12-28T11:19:08Z 2017-10-14T11:54:06Z 2012-12-28T11:19:08Z 2017-10-14T11:54:06Z 2012
dc.identifier.citation Journal of Stochastic Environmental Research & Risk Assessment (SERRA), (DOI: 10.1007/s00477-012-0555-3). 13pp, published online (January 18, 2012) en_US
dc.description.abstract Micro-dams are expected to be feasible options for water resources development in semi-arid regions such as the Guinea savanna agro-ecological zone of West Africa. An optimal water management strategy in a microdam irrigation scheme supplying water from an existing reservoir to a potential command area is discussed in this paper based on the framework of stochastic control. Water intake facilities are assumed to consist of photovoltaic pumping system units and hoses. The knowledge of current states of the storage volume of the reservoir and the soil moisture in the command area is fed-back to the intake flow rate. A system of two stochastic differential equations is proposed as a model for the dynamics of the micro-dam irrigation scheme, so that temporally backward solution of the Hamilton–Jacobi–Bellman equation determines an optimal control, which represents the optimal water management strategy. A computational procedure using the finite element method is successfully implemented to provide comprehensive information on the optimal control. The results indicate that the water initially stored in the reservoir can support full irrigation for about 80 days under the optimal water management strategy, which is predominantly based on the demand-side principle. However, the volatility of the soil moisture in the command area must be reasonably small. en_US
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Micro-dam irrigation en_US
dc.subject Dry season farming en_US
dc.subject Stochastic control en_US
dc.subject Hamilton-Jacobi-Bellman equation en_US
dc.subject Finite element method en_US
dc.title Stochastic control of a micro-dam irrigation scheme for dry season farming en_US
dc.type Article en_US

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