The Calculation Of Water Release Policy For Balog-Balog (Philippines) Single Multipurpose Reservoir System Using Dddp Analytical Technique: I. Model Development
Alan L. Presbitero
Abstract:
The monthly water release operating policy for a single multi-purpose reservoir system at each stage of development of the service area was defined using Discrete Differential Dynamic Programming (DDDP) optimization analytical technique and simulation model developed in a master program for a mainframe: computer type. Irrigation and flood control were the primary and secondary purposes, respectively, of the reservoir system with hydroelectric power generation as the by-product of the system's operation.
The recorded (historical) monthly streamflow data used in the study was subjected to the following analyses prior to generating a number of sequences of 50-year monthly streamflow data, namely: identification of probability distribution that best described the recorded streamflow data, and the determination of trend and periodicity using the 3-Parameter Log-Normal (3PLN) probability distribution function (pdf) and power spectrum analysis, respectively. The Thomas-Fiering streamflow model was used to generate the sequences of 50-year monthly streamflow data.
References:
- ASKEW, A.J., YEH, W.G. and HALL, W.A. 1971. The use of Monte Carlo Technique in the design and operation of a multipurpose reservoir system. Water Resources Res. 7(4):819-826.
- BAT, L. 1977. Optimum utilization of water resources in the La-Nga River, Vietnam. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- BELLMAN, R.E. 1957. Dynamic Programming. Princeton University Press, Princeton, New Jersey.
- BOLCH, B.W. and HUANG, C.J. 1974. Multivariate Statistical Methods for Business and Economics. Prentice-Hall, Englewood Cliffs, New Jersey.
- BURGES, S.J. and LETTENMAIER, D.P. 1975. Operational Comparison of Stochastic Streamflow Generation Procedures. Tech. Rep. No. 45. Charles W. Harris Hydraulics Laboratory, University of Washington, Seattle, Washington, D.C.
- BURGES, S.J., LETTENMAIER, D.P. and BATES, C.L. 1975. Properties of the three parameter log normal probability distribution. Water Resources Res. 11(28):229-235.
- CARR, D.P. and UNDERHILL, H.W. 1974. Simulation in Water Development. Irrigation and Drainage Paper No. 23. UN-FAO, New York.
- CARRIAGA, C.C. 1982. Reservoir operating policies for flood control, power production and irrigation development. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- CHI, J.W.Y. 1975. Analysis and synthesis of the Mekong River monthly flow. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- CHOW, V.T. and CORTES-RIVERA, G. 1974. Application of DDDP in Water Resources Planning. Res. Rep. No. 78. Water Resources Center, University ofllinois, Urbana-Champaign.
- CHOW, V.T., MAIDMENT, D.R. and TAUXE, G.W. 1975. Computer time and memory requirement for DP and DDDP in water resource systems analysis. Water Resources Res. 11(5):621-628.
- COLORNI, A. and FRONZE, G. 1976. Reservoir management via reliability Programming. Water Resources Res. 12(1):85-93.
- CROLEY, T.E. II. 1974. Sequential stochastic optimization for reservoir Systems. J. Hydraulics Div. Proc, ASCE 100(HY1):201-219.
- DRACUP, J.A., MOBASHERI, F. and CARDENAS, M.A. 1970. An Assessment of Optimization Techniques as Applied to Water Resource Systems. Office of Water Resources Research, U.S. Department of Interior, Washington, D.C. p. iii-170.
- EASTMAN, J. and REVELLE, C. 1973. Linear decision rule in reservoir management and design: 3. Direct capacity determination and intra-seasonal constraints. Water Resources Res. 9(1):29-42.
- FIERING, M.B. 1961. Queuing theory and simulation in reservoir design. J. Hydraulics Div. Proc. ASCE 87(HY6):39-70.
- FIERING, M.B., JACKSON, B.B. 1971. Synthetic streamflows. Water Resources Monogr. No. 1. Am. Geophysical Union (1971): 1-98.
- FRANCO, D.T. 1978. A method of policy determination for the Pantabangan reservoir. Philipp. Agric. Eng. J. (1978): 4-10.
- HAAN, C.T. 1977. Statistical Methods in Hydrology. The Iowa State University Press, Ames, Iowa. 378 pp.
- HALL, W.A. 1964. Optimum design of a multipurpose reservoir. J. Hydraulics Div. Proc. ASCE 90(HY4):141-149.
- HALL, W.A. and BURAS, N. 1961. The dynamic programming approach to water resources development. J. Geophys. Res. 66(2):517-520.
- HALL, W.A., BUTCHER, W.S. and ESOGBUE, A. 1968. Optimization of the operation of a multiple purpose reservoir by Dynamic Programming. Water Resources Res. 4(3):471-477.
- HALL, W.A. and DRACUP, J.A. 1970. Water Resources Systems Engineering. McGraw-Hill Book Company, New York. 372 pp.
- HALL, W.A. and ROELFS, T.G. 1966. Hydropower project output optimization. J. Power Div. Proc. ASCE 92(PO1):67-79.
- HARBOE, R.C., MOBASHERI, F. and YEH, W.W.G. 1970. Optimal policy for reservoir operation. J. Hydraulics Div. Proc. ASCE 96(HY11):2297-2308.
- HOSHI, K. and BURGES, S.J. 1979. Disaggregation of streamflow volumes. J. Hydraulics Div. Proc. ASCE 105(HY1):27-41.
- HOSHI, K., BURGES, S.J. and YAMAOKA, I. 1978. Reservoir design capacities for various seasonal operational hydrology models. J. JSCE. 273:121-134.
- HUFF, F.A., SHIPF, W.L., SCHICKEDANZ, P.T. 1969. Evaluation of Precipitation Modification Experiments from Precipitation Rate Measurements. Illinois State Water Survey, Urbana, Illinois.
- JACOBY, H.D. and LOUCKS, D.P. 1972. Combined use of optimization and simulation models in river basin planning. Water Resources Res. B(6):1401-1414.
- LETTENMAIER, D.P. and BURGES, S.J. 1977. An operational approach for preserving skew in hydrologic models of long term persistence. Water Resources Res. 13(2):281-290.
- LOTT, D.L. 1964. Optimization Model for the Design of Urban Food Control Systems. Center for Research in Water Resources, University of Texas, Austin, Texas.
- LOUCKS, D.P. 1969. Stochastic Methods for Analyzing River Basin Systems. Water Resources and Marine Science Center, Cornell University, Ithaca, New York. pp. vi-22.
- LOUCKS, D.P. and DORFMAN, P.J. 1975. An evaluation of some linear decision rules in chance-constrained models for reservoir planning and operation. Water Resources Res. 11(6):777-782.
- MAASS, A., HUFSCHMIDT, M.M., DORFMAN, R., THOMAS, H.A. Jr., MARGLIN, S.A. and FAIR, G.M. 1962. Design of Water Resource Systems. Harvard University Press, Cambridge, Massachusettes.
- MATALAS, N.C. 1967. Mathematical assessment of synthetic hydrology. Water Resources Res. 3(4):937-945.
- MEIER, W.L. and BEIGHTLER, C.S. 1967. An optimization method for branching multistage water resource systems. Water Resource Res. 3(3):645-652.
- MEREDITH, D.D. 1975. Optimal operation of multiple reservoir systems. J. Hydraulics Div. Proc. ASCE 101(HY2):299-312.
- MOBASHERI, F. and HARBOE, R.C. 1970. A two-stage optimizing model for design of a multipurpose reservoir. Water Resources Res. 6(1):22-31.
- MUSPRATT, M.A. 1973. Optimal policy for reservoir management. Nordic Hydrology 4(2):57-76.
- PHONGPRAPAPHAN, S. 1977. Operation of reservoir systems: A case study using Dynamic Programming. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- REVELLE, C., JOERES, E. and KIRBY, W. 1969. The linear decision rule in reservoir management and design: 1. Development of the stochastic model. Water Resource Res. 5(4):767-777.
- ROESNER, L.A. and YEVYEVICH, V.M. 1966. Mathematical Models for Time Series Monthly Precipitation and Monthly Runoff. Hydrology Paper No. 15. Colorado State University, Fort Collins, Colorado.
- RUSSEL, S.O. 1974. Use of decision theory in reservoir operation. J. Hydraulics Div. Proc. ASCE 100(HY6):809-817.
- SAMARATUNGE, T. 1978. Optimum operation of multiple purpose serially linked reservoir systems. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- SANGAL, B.D. and BISWAS, A.K. 1970. The 3-Parameter Log Normal distribution and its application in hydrology. Water Resources Res. 16(2):505-515.
- SEKHARARIDHI, P. 1971. Multiple time series analysis of hydrologic data. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- SOTTIMAI, S. 1973. Optimal reservoir operation rule derived by probabilistic approach. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- TAUXE, G.W., HALL, W.A. and YEH, W.W.G. 1973. Joint operation of a linked reservoir system with multistate incremental Dynamic Programming. EOS Trans., Am. Geophys. Union 54(4):1-266.
- THOMAS, H.A. Jr. and FIERING, M.D. 1962. Mathematical synthesis of streamflow sequences for the analysis of river basins by simulation.In A. Maass, M.M. Hufschmidt, R. Dorfman, H.A. Thomas, Jr., S.A. Marglin and G.M. Fair (Eds.). Design of Water Resource Systems. Harvard University Press, Cambridge, Massachusetts.
- THOMAS, H.A. Jr. and REVELLE, R. 1966. On the efficient use of High Aswan Dam for hydropower and irrigation. Manage. Sci. 12 (8 Ser. B):296-311.
- THOMAS, H.A. Jr. and WATERMEYER, P. 1962. Mathematical models: A stochastic sequential approach. In A. Maass, M.M. Hufschmidt, R. Dorfman, H.A. Thomas, Jr., S.A. Marglin and G.M. Fair Eds.). Design of Water Resource Systems. Harvard University Press, Cambridge, Massachusetts.
- VAN, N.V.T. 1975. Interaction between irrigation and power sectors of multiple purpose project. M. Eng. Thesis. Asian Institute of Technology, Bangkok, Thailand.
- YOUNG JR., G.K. 1967. Finding reservoir operating rules. J. Hydraulics Div. Proc. ASCE 93(HY6):297-321.
ISSN 2704-3541 (Online)
ISSN 0116-0710 (Print)