آنالیز استاتیکی مدولاتور پهنا و فرکانس پالس مبتنی بر حل تحلیلی و عددی

نوع مقاله: مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسنده

دانشگاه تربیت مدرس

چکیده

در این تحقیق، محدودة مجاز پارامترهای مدولاتور پهنا و فرکانس پالس در آنالیز استاتیکی به‌صورت تحلیلی استخراج شده است. بدین منظور، مطالعة پارامتری جامعی بر مبنای دو معیار عملکرد مصرف سوخت و تعداد دفعات روشن شدن عملگر تراستر صورت پذیرفته ومحدودة مجاز پارامترهای بی‌بعد با روابط ریاضی و به‌صورت نمودارهای بی‌بعد ارائه شده است. همچنین، روابط تحلیلی دقیق محاسبة دو معیار عملکرد مصرف سوخت و تعداد دفعات روشن شدن عملگر تراستر برای یک کلاس از مدولاتورها با فرض ورودی ثابت بدست آمده است. مزیت تحلیل حاضر، علاوه‌بر بی‌بعد بودن پارامترها، استخراج محدودة پارامترها بر حسب یکدیگر است. این کار، محدودة پارامترها را به‌صورت دقیق‌تر از روش تعیین محدودة هر پارامتر با نامساوی نتیجه می­دهد. همچنین، در صورت مشخص بودن مقدار حداقل عرض پالس (با فرکانس کاری مدولاتور و ثابت زمانی دینامیک تراستر)، انتخاب محدودة پارامترها محدودتر خواهد شد که در این خصوص نمودارها و روابط مفیدی برمبنای حداکثر ممکن تعداد دفعات روشن شدن تراستر ارائه شده است.

کلیدواژه‌ها


عنوان مقاله [English]

Static Analysis of Pulse-Width Pulse-Frequency Modulator Based on Analytical and Numerical Solutions

نویسنده [English]

  • S.H Jalali-Naini
Tarbiat Modares University
چکیده [English]

In this study, the preferred regions of Pulse-Width Pulse-Frequency Modulator (PWPFM) are obtained analytically for the static analysis. For this purpose, a comprehensive parametric study is carried out based on the two performance indices of fuel consumption and the number of thruster firings. The preferred regions are presented by normalized relations and curves. Moreover, the exact analytical solutions of the two performance indices are obtained for a class of modulators with the assumption of constant inputs. The advantages of the present study are non dimensional analysis and obtaining the preferred regions in terms of each others, resulting in more accurate regions as opposed to inequality relations using constant values for a specified input signal. In addition, in the case of specified minimum pulse width (having the update frequency and thruster time constant), determining the preferred regions becomes more limited. In this regard, useful relations and curves based on the maximum possible value for the number of the thruster firings are derived and presented.

کلیدواژه‌ها [English]

  • Satellite attitude control
  • On-off thrusters
  • Pulse-Width Pulse-Frequency Modulator
  • Pseudo-rate modulator
  • Static analysis

 

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