بررسی چیدمان توربین های کیلوواتی در میان توربین های مگاواتی جهت افزایش توان تولیدی مزرعه بادی به کمک یک مدل تحلیلی

نوع مقاله : مقاله مکانیک

نویسندگان

1 گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه آزاد تهران مرکزی، تهران، ایران

2 گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه آزاد کرج، کرج، ایران

چکیده

روش‌های بهره‌برداری حداکثری از پتانسیل‌های مزارع بادی را می‌توان به دو دسته تقسیم کرد: بهینه‌‌سازی چیدمان توربین‌ها و استفاده از توربین‌های بادی با ارتفاع هاب متفاوت. بهینه‌‌‌سازی چیدمان توربین‌ها در مزارع عموماً با استفاده از الگوریتم‌های بهینه‌سازی انجام می‌شود. از معایب این الگوریتم‌ها عدم امکان ارائۀ یک جواب مشخص به عنوان بهینه‌ترین جواب است. در این پژوهش، با استفاده از یک مدل تحلیلی برای توزیع سه بعدی سرعت جریان باد در ناحیۀ ویک و با در نظر گرفتن برهمکنش چند ویک روی یکدیگر، مدلی جهت تخمین توان تولیدی توربین‌ها در مزارع ارائه شده است. با ادغام این مدل با مدل هزینه‌های جانمایی توربین‌ها، تابعی برای چیدمان بهینۀ توربین‌ها ارائه شده است. با محاسبۀ این تابع برای حالت‌های مختلف چیدمان توربین‌ها در مزارع بادی، چیدمان بهینۀ توربین‌ها قابل محاسبه است. در پژوهش حاضر، محاسبۀ چیدمان بهینه توربین‌ها با استفاده از یک کد در نرم افزار متلب انجام شده است. با شبکه‌بندی فضای حل و با در نظر گرفتن حداقل فاصلۀ بهینه جانمایی توربین‌ها از بعد اقتصادی و انرژی تولید شده، مقدار تابع بهینۀ چیدمان توربین‌ها برای حالت های مختلف چیدمان محاسبه شده است. در انتها، چیدمان توربین‌های کیلوواتی میان توربین‌های مگاواتیِ مزرعۀ بادی Horns Rev برای افزایش توان تولیدی این مزرعه مدل‌سازی شده است. بر اساس نتایج به دست آمده از چیدمان بهینه (به ازای 15 توربین) و حداکثری (به ازای 26 توربین) توربین‌های کیلوواتی، توان تولیدی مزرعه به ترتیب 7% (226/3 مگاوات) با راندمان 70/35% و 35/9 % (712/4 مگاوات) با راندمان 06/34% افزایش یافته است.

کلیدواژه‌ها

عنوان مقاله [English]

Investigation of the layout of kilowatt-scale wind turbines located among megawatt-scale ones by means of an analytical model

نویسندگان [English]

  • Peyman Asad Ayoubi 1
  • Mohammad Eftekhari Yazdi 1
  • Iraj Harsini 2
1 Department of Mechanical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Karaj, Alborz, Iran
چکیده [English]

The methods used for maximum exploitation of wind farms’ potentials can be classified into two categories: turbines layout optimization and utilization of turbines with different hub heights. The layout optimizations are generally performed by optimization algorithms. A drawback of these algorithms is their inability to render a single result as the optimized result. In the present study, by using an analytical model for 3D wind velocity distribution in the wake and including wake interactions, a model has been presented for estimation of the generated power of turbines implemented in wind farms. By coupling this model with the cost model of turbines' implementation, a function for the optimized layout has been presented. By calculating this function for different layouts of turbines in farms, the optimized layout can be obtained. In the present study, the calculations of turbines' layout optimization were carried out using a MATLAB-implemented code. By dividing the solution domain into grids and taking into account the minimum optimized distance of turbines from one another from the economical and power output aspects, the value of the layout optimization function has been calculated for different possible layouts. Finally, the layout of kilowatt-scaled turbines located among megawatt-scale ones for Horns Rev offshore farm has been modeled to obtain the maximum power output. From the results obtained for the optimized and maximum number of kilowatt-scaled turbines, it is inferred that the power of the farm has been increased by 7% (3.226 MW) by 35.7% efficiency and 9.35% (4.712 MW) by 34.06% efficiency,respectively.

کلیدواژه‌ها [English]

  • Renewable Energy
  • Wind Turbines Layout Optimization
  • Analytical Modeling
  • Wind Farm Power Generation Increase

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مدل سازی در مهندسی
دوره 20، شماره 70
مهر 1401
صفحه 161-177

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  • تاریخ دریافت: 01 اردیبهشت 1401
  • تاریخ بازنگری: 08 خرداد 1401
  • تاریخ پذیرش: 29 خرداد 1401

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