# حل معادلات سینیتیک نقطه ای راکتور با شش گروه نوترون تأخیری به کمک روش هم محلی

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

1 هیأت علمی دانشگاه ایلام

2 گروه ریاضی دانشکده علوم. دانشگاه ایلام

3 گروه ریاضی . دانشکده علوم. دانشگاه ایلام

چکیده

در این پژوهش ما از روش همگامی به عنوان یک روش عددی جدید در زمینۀ دینامیک و کنترل راکتور برای حل معادلات سینیتیک نقطه ای راکتور در حضور راکتیویته های پله ای، خطی و سینوسی با شش گروه نوترون تأخیری استفاده کرده ایم. کد محاسباتی روش همگامی با نرم افزاز متمتیکا نوشته شده است. این روش علاوه بر زمان کم محاسبه و همگرایی جوابها، از دقت بالایی برخوردار میباشد. نتایج محاسبات عددی روش همگامی در حضور راکتیویته های مذکور در مقایسه با روشهای عددی دیگر نشان میدهد که این روش کارآمد و دقیق میباشد لذا از آن میتوان برای محاسبات دینامیکی در مرحلۀ راه اندازی راکتور استفاده کرد.

کلیدواژه‌ها

عنوان مقاله [English]

### Solutions of Reactor Point Kinetics equations with six group of delayed neutrons using Collocation method

نویسندگان [English]

• masoud seidi 1
• parviz darania 2
• saeid pishbin 3
1 faculty of ilam university
2 Department of mathematics, Faculty of Science, Urmia University, P.O.Box:165-57153, Urmia &ndash; Iran
3 Department of mathematics, Faculty of Science, Urmia University, P.O.Box:165-57153, Urmia &ndash; Iran
چکیده [English]

In this study we have used Collocation Method (COM) as a new method in the control and dynamics of reactor fields for solution of reactor point kinetics equations in the presence of step, linear and sinusoidal reactivities with six groups delayed neutron. The calculation code has written by MATHEMATICA software. This method in addition to the low time of calculations and convergence of solutions, it has high accuracy. The results of numerical calculations by COM compared with other numerical methods show that this method is efficient and accurate. Therefore, it can be used for dynamical computing at the startup stage of the reactor.

کلیدواژه‌ها [English]

• Sinusoidal Reactivity
• Collocation method
• Reactor Point Kinetics
• Delayed Neutron

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### سابقه مقاله

• تاریخ دریافت: 01 شهریور 1396
• تاریخ بازنگری: 15 بهمن 1396
• تاریخ پذیرش: 13 اسفند 1396