A Multilevel Optimal Control Algorithm for Real-Time Water Resources Management

by Quentin W. Martin, Lower Colorado River Authority, Austin, United States,



Document Type: Proceeding Paper

Part of: Water Resources Planning and Management and Urban Water Resources

Abstract: The real-time, dynamic operation of an existing system of reservoirs, advanced wastewater treatment plants, navigation locks and natural steam channels is formulated as a continuous, distributed parameter optimal control problem. The general system considered is operated to minimize the net costs of wastewater treatment, navigation, water supply shortages, and hydroelectric power generation, while meeting constraints on system performance. Using finite-difference approximations, an equivalent mathematical programming problem is developed from the distributed control formulation. This discrete problem is solved by multilevel optimization, linear programming and simulation. The performance of the algorithm is demonstrated for the Upper Trinity River Basin in Texas.

Subject Headings: Water resources | Resource management | Algorithms | Wastewater treatment plants | Hydro power | Approximation methods | Mathematics | Reservoirs | Navigation (waterway) | Computer programming | North America | Texas | United States

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