Optimal Design of Open Channel Sections Using PSO Algorithm
محورهای موضوعی : Meta-heurestics
محسن منادی
1
(Department of Civil Engineering (Hydraulic Structures Engineering), Faculty of Engineering, Urmia University, Urmia, Iran)
میرعلی محمدی
2
(Department of Civil Engineering, Faculty of Engineering, Hydraulic Structure and River Mechanics Group, Urmia University, Urmia, Iran.)
Hamed Taghizadeh
3
(Department of Civil Engineering (Hydraulic Structures Engineering), Faculty of Engineering, Urmia University, Urmia, Iran)
کلید واژه: Optimization, PSO Algorithm, Open Channel Design, Optimum Section Variables, MATLAB Software,
چکیده مقاله :
This paper applies an evolutionary algorithm, the particle swarm optimization (PSO), to design the optimum open channel section. Depth, channel side slope and bottom width are considered as the variables for rectangular, triangular and trapezoidal channels, respectively. The objective function is minimizing the construction cost of the channel section. MATLAB software is used for programming and doing the optimization process. Manning’s uniform flow formula has been used as a constraint for the optimization model. The cost function is included the cost of earthwork, the increment in the cost of earthwork with the depth below the ground surface and the cost of lining. Simple functions of unit cost terms have been used to express the optimum values of section variables. The optimum section variables are obtained for the case of minimum area or minimum wetted perimeter problems. The results of this study showed that the PSO is a robust algorithm to compute the optimum section variables in open channel design.
در این مقاله از الگوریتم بهینه سازی اجتماع ذرات جهت طراحی بهینه مقطع کانالهای روباز با مقاطع مثلثی، مستطیلی و ذوزنقه ای استفاده شده است. متغیرهای مقطع کانالها شامل، عمق، شیب جانبی و عرض کف می باشند. تابع هدف کمینه سازی هزینه ساخت کانال می باشد. برای کدنویسی و بهینه سازی مسئله از نرم افزار MATLAB استفاده شده است. قید مسئله از طریق رابطه مانینگ برای جریان یکنواخت در کانالهای روباز اعمال شده است. تابع هزینه مسئله شامل هزینه عملیات خاکی، هزینه مازاد انجام حفاری و عملیات خاکی در اعماق زیر سطح زمین و هزینه اجرای روکش کانال می باشد. برای بیان مقادیر بهینه متغیرهای مقاطع از توابع ساده با عبارات هزینه واحد استفاده شده است. متغیرهای بهینه مقطع با در نظر گرفتن سطح مقطع حداقل یا محیط پیرامون حداقل به دست امده اند. کلیه برنامه های کامپیوتری در نرم افزار متلب نوشته شده است. نتایج به دست آمده نشان داد که الگوریتم PSO معرفی شده برای طراحی مقطع بهینه کانالهای روباز الگوریتمی قدرتمند می باشد.
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