یک روش تحلیلی بر پایه نظریه تابع سیم‌پیچی و مدل مدار معادل مغناطیسی برای آنالیز الکترومغناطیسی موتورهای القایی تحت شرایط کاری سالم و خطای میله شکسته در رتور
محورهای موضوعی : مهندسی برق و کامپیوتر
فرهاد رضایی علم
1
(دانشکده فنی و مهندسی، دانشگاه لرستان)
عبدالصمد حميدي
2
(دانشکده فنی و مهندسی، دانشگاه لرستان)
وحيد نائيني
3
(گروه آموزشی مهندسی برق، دانشگاه ملایر)
کلید واژه: اندوکتانس, مدار معادل مغناطیسی (MEC), موتور القایی با رتور قفسی (CRIM), نظریه تابع سیم‌پیچی (WFT), نیروی محرکه مغناطیسی (MMF),
چکیده مقاله :
در این مقاله یک مدل تحلیلی هیبرید بر پایه نظریه تابع سیم‌پیچی برای موتورهای القایی با رتور قفسی ارائه می‌شود که از مدل مدار معادل مغناطیسی برای لحاظ‌کردن اثر شیار و اشباع مغناطیسی در هسته‌های استاتور و رتور کمک می‌گیرد. تحت شرایط کاری سالم و خطای میله شکسته در رتور و برای هر نقطه کار، از یک مدار معادل مغناطیسی غیر خطی برای محاسبه افت نیروی محرکه مغناطیسی در بخش‌های آهنی استاتور و رتور استفاده می‌شود. توزیع افت MMF در استاتور و رتور به طور جداگانه بر حسب یک توزیع از جریان‌های مجازی معادل و یک تابع سیم‌پیچی مجازی بیان می‌شود. سپس اندوکتانس‌ها با در نظر داشتن اثر شیارها و اشباع مغناطیسی با استفاده از WFT محاسبه می‌گردند. به منظور مدل‌سازی راه‌اندازی بی‌بار موتور تحت شرایط کاری سالم و خطای میله شکسته، دستگاه معادلات دیفرانسیل الکتریکی و مکانیکی به طور هم‌زمان با استفاده از روش تفاضلات متناهی حل می‌شوند. از روش هیگ و یک نگاشت همدیس ساده برای محاسبه و آنالیز میدان مغناطیسی فاصله هوایی استفاده می‌گردد. به منظور راستی‌آزمایی مدل ارائه‌شده، بعضی از نتایج تحلیلی با نتایج نظیر به دست آمده از روش اجزای محدود مقایسه می‌شوند.
In this paper, one hybrid analytical model (HAM) based on winding function theory (WFT) was presented for cage-rotor induction motors (CRIMs), which helps from the magnetic equivalent circuit (MEC) for considering the effect of slots and magnetic saturation in stator and rotor cores. A non-linear MEC model is used to calculate the magneto motive force (MMF) drops in iron parts of stator and rotor for every operating point under the healthy condition and broken-rotor bar (BRB) fault. The distribution of MMF drop in stator and rotor is separately expressed in terms of the distribution of equivalent virtual currents and the virtual winding function. The inductances are then calculated using WFT while considering the effect of slots and magnetic saturation. To model the starting of no-load CRIM, the system of electrical and mechanical differential equations is solved using the finite difference method (FDM) under the healthy condition and BRB fault. Hague's solution and one simple conformal mapping (CM) are used to calculate and analysis of air-gap magnetic field. To verify the proposed model, some analytical results are compared with the corresponding results obtained through finite element method (FEM).
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