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| DOI：10.13522/j.cnki.ggps.20180166 |
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| Analyzing Hydrological Frequency in Irrigation District Using Adaptive Differential Evolution Method |
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LI Tianlei， YIN Guoxi， GUO Xiangping， LIU Fangping， JIN Weirong
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1. Hohai University，College of Agricultural Engineering， Nanjing 210098, China；2. Jiangxi Provincial Irrigation Experiment Center Station， Nanchang 330096, China
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| Abstract: |
| 【Objective】 Hydrological frequency analysis in planning and designing irrigation schedule for irrigation districts needs to dealt with short history of hydrological data, making the estimated annual runoff and rainfall in the design for dry years susceptible to uncertainty. The differential evolution method is simple and converges faster; it is also robust and needs less parameters, but with a conflict in search ability and potential for further development. 【Method】This paper presents an iterative method by combining stochastic perturbation and trigonometric functions to ensure that the variation during the iteration was random in order to increase convergence. We constructed adaptive differential evolution algorithms in which a parameter estimation method can be used for the P-III distribution curve with short hydrology series. Taking the measured rainfall data from Yaoxiaba Station in Nankang District, Ganzhou City, Jiangxi Province as examples, rainfall measured in 55 years and 30 years were treated as long and short series respectively. Using the adaptive differential evolution algorithm, the genetic algorithm and the traditional parameter estimation method, the sum of squared deviation of the OLS and its standard deviation at different iterations for the long series of rainfall data for different dry years under the long and the short series were calculated and compared.【Result】 The adaptive differential evolution algorithm was more efficient, accurate, robust, giving stable search results. For the long and short series, the adaptive differential evolution algorithm minimizes the sum of the errors in design for a period of four dry years. 【Conclusion】 The adaptive differential evolution algorithm is suitable for irrigation planning. |
| Key words: irrigation district；Optimal curve fitting method; adaptive differential evolution; hydrological frequency analysis; leveal year |
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