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آنالیز توابع خطا در روش غیرخطی برآورد پارامترهای مدلهای جذب سینتیکی و تعادلی | ||
تحقیقات آب و خاک ایران | ||
مقاله 14، دوره 48، شماره 3، مهر 1396، صفحه 613-623 اصل مقاله (746.41 K) | ||
نوع مقاله: مقاله پژوهشی | ||
شناسه دیجیتال (DOI): 10.22059/ijswr.2017.63446 | ||
نویسندگان | ||
فرناز خرمی؛ علی مهدوی* | ||
دانشگاه بین المللی امام خمینی (ره) | ||
چکیده | ||
تعیین مدل حاکم در زمینه مدلسازی جذب سینتیک و تعادلی نیازمند روشی مطمئن برای برآورد پارامترها میباشد. در روش غیرخطی، پارامترها بر اساس سعی و خطا با هدف مینیمم کردن خطا برآورد میگردند. در این مطالعه اثر توابع خطای مختلف بر پارامترهای برآورد شده مدلهای سینتیکی شبه مرتبه اول و دوم و مدلهای تعادلی لانگمویر و فروندلیچ مورد بررسی قرار گرفت. بهترین تابع بر اساس 239 سری داده سینتیکی و 129 سری داده تعادلی مستخرج از 100 مطالعه قبلی تعیین گردید. استفاده از توابع مختلف تغییرات زیادی در پارامترهای برآورد شده نشان داد، بهگونهای که بیشترین درصد تغییرات پارامترها به 100% نیز میرسد. به کمک روش نرمالسازی خطا بر اساس دادههای آزمایشگاهی بهترین توابع خطا به ترتیب Errsq، Hybrd و Mpsd با متوسط خطای نرمال 3 و 4/3 و 6/3 میباشند. روشهای Ef و Crm نیز با توجه به دادههای آزمایشگاهی دارای بیشترین خطا میباشند. | ||
کلیدواژهها | ||
مدلسازی جذب؛ خطای نرمال؛ درصد تغییرات؛ رگرسیون غیر خطی | ||
عنوان مقاله [English] | ||
Error function analysis in nonlinear parameter estimation method for kinetic and equilibrium sorption models | ||
نویسندگان [English] | ||
Farnaz Khorami؛ Ali Mahdavi | ||
University of Imam Khomeini | ||
چکیده [English] | ||
A robust method for parameter estimation is required in determining the governing model in kinetic and equilibrium sorption modeling. In nonlinear method, parameters are estimated using a trial and error procedure to minimize an error function. In this study the effect of different error functions on estimated parameters of kinetic models (Pseudo First and second order) and equilibrium models (Langmuir and Freundlich) were examined. Best error function was determined using 239 series of kinetic data and 129 series of equilibrium data which are extracted from 100 previous studies. Using various error functions shows a lot of changes in estimated parameters, so that the largest changes for parameters is about 100%. using normalized error method based on experimental data, best error functions respectively are Errsq, Hybrd and Mpsd with average normal error of 3 and 3.4 and 3.6. Ef and Crm methods have the maximum normalized error according to the experimental data. | ||
کلیدواژهها [English] | ||
sorption modeling, normalised error, changes percent, nonlinear regression | ||
مراجع | ||
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