Optimal Control of Fluid Supply Network Systems with Holders:An Analytical Method for Nonlinear Networks

概要

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In general, fluid supply systems are described as nonlinear, dynamic, multi-terminal network systems with distributed sources, sinks and holders, in which the sources supply fluid based on demands at the sinks. Accordingly, it is desired to establish some mathematical method for determining the optimal supply curves which satisfy the predicted demand curves and minimize some objective function by utilizing the holders effectively.The ordinary Hardy-Cross' method for network system simulation is extended to the fluid supply system with holders. The problem formulated is analyzed by discretizing the continuous process so that a nonlinear programming technique is applicable. An algorithm of calculating the optimal control is developed by combining the extended Hardy-Cross' method and the Zotendijk's method of feasible directions.
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