Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 29, No. 4 (April 2016) 482-489   

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  OPTIMAL DESIGN AND BENEFIT/COST ANALYSIS OF RESERVOIR DAMS BY GENETIC ALGORITHMS CASE STUDY: SONATEH DAM, KORDISTAN PROVINCE, IRAN
 
M. Monadia, H. M. V. Samanib and M. Mohammadi
 
( Received: December 15, 2015 – Accepted in Revised Form: April 14, 2016 )
 
 

Abstract    This paper presents a method concerning the integration of the benefit/cost analysis and the real genetic algorithm with various elements of reservoir dam design. The version 4.0 of HEC-RAS software and Hydro-Rout models have been used to simulate the region and flood routing in the reservoir of the dam, respectively. A mathematical programming has been prepared in MATLAB software and linked with the optimal programming then employed to maximize the benefit/cost ratio of the reservoir dam construction. After a sensitivity analysis, mutation and crossover probability are assumed to be 0.05 and 0.7, respectively. The objective function of the study is benefit/cost ratio. The combined methodology has been provided to help to compute the optimal normal water level, length of spillway and downstream levee height of a reservoir dam considering flood control and cost of construction. This is the first attempt to optimize these important parameters, in the construction of a reservoir dam, together considering flood control and economical aspects. It has been displayed that the proposed method provides strong and suitable solutions to determine these parameters. The results showed that there is potential for application of genetic algorithms to such optimization problems, where the objective function is nonlinear and other optimization techniques may be troublesome to apply and find the global optimum.

 

Keywords    Optimization, Normal Water Level , Spillway Length, Genetic Algorithms, Matlab Software, Reservoir Dam, Sonateh Dam

 

چکیده    در این مقاله از یک روش که در آن تحلیل سود بر هزینه و الگوریتم ژنتیک پیوسته با هم ترکیب شده­اند برای طراحی سد مخزنی استفاده شده است. برای شبیه­سازی محدوده مورد نظر و روندیابی سیلاب در مخرن سد به ترتیب از نرم افزار4.0 HEC-RAS و Hydro-Rout استفاده شده است. برای یافتن حداکثر مقدار نسبت سود به هزینه ساخت سد یک برنامه کامپیوتری در نرم­افزار MATLAB نوشته شده و با برنامه بهینه­سازی پیوند داده شده است. پس از تحلیل حساسیت برنامه بهینه­سازی، مقادیر جهش و تولید مثل به ترتیب برابر با 05/0 و 7/0 به دست آمدند. در تحقیق حاضر تابع هدف نسبت سود به هزینه ساخت سد مخزنی است. برنامه یاد شده امکان محاسبه مقادیر بهینه رقوم نرمال، طول سرریز و ارتفاع خاکریزپایین­دست سد مخزنی، با در نظر گرفتن کنترل سیلاب و هزینه ساخت سد مخزنی، را فراهم می­سازد. روش معرفی شده در این مقاله اولین تلاش برای به دست آوردن مقادیر بهینه پارامترهای یاد شده با در نظر گرفتن موضوع کنترل سیلاب و جنبه­های اقتصادی سد مخزنی و همچنین روشی قدرتمند برای محاسبه مقادیر پارامترهای یاد شده است. نتایج به دست آمده نشان می­دهد که برای چنین مسائلی که تابع هدف غیرخطی بوده و استفاده از روش­های دیگر بهینه­سازی با مشکلاتی روبه­رو خواهند بود، الگوریتم ژنتیک ابزاری دقیق و قدرتمند خواهد بود.

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