(38d) Integrated Optimization of Water Supply Systems Scheduling for Energy Efficient Operations
In this work, we address the simultaneous optimization for the integrated water supply systems scheduling and pump operation to minimize the cost and energy consumption of pumps. The water supply systems are operated to transport water from sources to consumers [1-3]. The operation of the water supply systems is expensive because of large amount of water demands in the industry process and the daily life. Optimal scheduling of the water supply systems helps obtain remarkable savings by coordinating the pumping with time varying electricity tariffs . The characteristics of the pumps can be described by a set of differential equations . A great amount of energy can be saved if the operation of the pumps can be optimized. We integrate and optimize the water supply system scheduling and the pump operation simultaneously. We first formulate the integrated problem into a mixed-integer dynamic optimization (MIDO) model, which is then reformulated into a mixed-integer nonlinear programming (MINLP) full space model by discretizing the differential equations [6-8]. We propose an efficient flexible recipe method which can reduce the computational complexity significantly to solve the integrated problem [9, 10]. The flexible recipe method uses a set of discrete points to approximate the detailed dynamic optimization problems. In case study, we use a real water supply network system to demonstrate the applicability of the proposed full space modeling framework and the efficiency of the flexible recipe solution method.
 M. M. Eusuff and K. E. Lansey, "Optimization of water distribution network design using the shuffled frog leaping algorithm," Journal of Water Resources Planning and Management, vol. 129, pp. 210-225, 2003.
 A. Vasan and S. P. Simonovic, "Optimization of water distribution network design using differential evolution," Journal of Water Resources Planning and Management, vol. 136, pp. 279-287, 2010.
 D. L. Boccelli, M. E. Tryby, J. G. Uber, L. A. Rossman, M. L. Zierolf, and M. M. Polycarpou, "Optimal scheduling of booster disinfection in water distribution systems," Journal of Water Resources Planning and Management, vol. 124, pp. 99-111, 1998.
 B. Ulanicki, J. Kahler, and H. See, "Dynamic optimization approach for solving an optimal scheduling problem in water distribution systems," Journal of Water Resources Planning and Management, vol. 133, pp. 23-32, 2007.
 K. E. Lansey and K. Awumah, "Optimal pump operations considering pump switches," Journal of Water Resources Planning and Management, vol. 120, pp. 17-35, 1994.
 Y. Chu and F. You, "Integration of scheduling and control with online closed-loop implementation: Fast computational strategy and large-scale global optimization algorithm," Computers & Chemical Engineering, vol. 47, pp. 248-268, Dec 20 2012.
 H. Shi, Y. Chu, and F. You, "Novel Optimization Model and Efficient Solution Method for Integrating Dynamic Optimization with Process Operations of Continuous Manufacturing Processes," Industrial & Engineering Chemistry Research, vol. 54, pp. 2167-2187, 2015.
 H. Shi and F. You, "A Novel Adaptive Surrogate Modeling based Algorithm for Simultaneous Optimization of Sequential Batch Process Scheduling and Dynamic Operations," Submitted, 2015.
 Y. Chu and F. You, "Integrated Scheduling and Dynamic Optimization of Sequential Batch Processes with Online Implementation," AIChE Journal, vol. 59, pp. 2379-2406, Jul 2013.
 Y. Chu and F. You, "Integrated Scheduling and Dynamic Optimization of Complex Batch Processes with General Network Structure Using a Generalized Benders Decomposition Approach," Industrial & Engineering Chemistry Research, vol. 52, pp. 7867-7885, Jun 12 2013.