تحلیل پدیده انشعابات در یک کوره قوس الکتریکی متصل به شبکه قدرت

نوع مقاله: مقاله پژوهشی

نویسندگان

دانشکده مهندسی برق،‌واحد نجف آباد، دانشگاه آزاد اسلامی‌، نجف آباد، ایران مرکز تحقیقات ریز شبکه های هوشمند، واحد نجف آباد، دانشگاه آزاد اسلامی،‌نجف آباد،‌ایران

چکیده

هدف این مقاله، مطالعه پایداری و رفتار دینامیکی یک سیستم کوره قوس الکتریکی متصل به شبکه قدرت به کمک تئوری انشعابات است. این تئوری روش منظمی را برای تحلیل پایداری سیستم‏های دینامیکی تحت شرایط تغییر پارامترهای سیستم معرفی می‏کند. در حقیقت، در هر مرحله پارامتری از سیستم به طور پیوسته تغییر داده می‏شود و به طور همزمان مقادیر ویژه سیستم به کمک نرم‏افزار MATLAB و یا AUTO ردیابی می‏شود. با توجه به نحوه حرکت مقادیر ویژه و نزدیک‏شدن آنها به محور موهومی در صفحه S انشعاب گره-زینی و یا هاپف رخ داده در سیستم به ازای تغییر پارامتر مورد نظر استخراج می‏گردد. در این مقاله، ابتدا سیستم کوره قوس الکتریکی به کمک معادلات دیفرانسیل-جبری مدل‏سازی می‏شود و سپس به کمک روش تصویر، منیفلد مرکزی دو بعدی انشعاب هاپف که در سیستم کوره قوس الکتریکی رخ می‏دهد به صورت تحلیلی استخراج می‏شود. روش تصویر در تئوری انشعابات مطرح بوده و به طور کامل در این مقاله آورده شده است. در نهایت، نتایج کار با شبیه‏سازی کامپیوتری مقایسه شده است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Analysis of Bifurcation Phenomenon in a Grid-Connected Electric Arc Furnace

نویسندگان [English]

  • Mohammad Behzad Es-haghi
  • Mehran Zamanifar
1 Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran 2 Smart Microgrid Research Center, Najafabad Branch, Islamic Azad University, Isfahan, Iran
چکیده [English]

This paper aims to study the stability and dynamic behavior of a grid-connected electric
arc furnace system, using bifurcation theory. This theory introduces a systematic method for stability analysis of dynamic systems, under changes in the system parameters. In fact, a parameter is constantly changed in each step, using MATLAB and/or AUTO software, and system eigenvalues are monitored simultaneously. Considering how the eigenvalues approach the system’s imaginary axis on S plain in accordance with the changes in the targeted parameter, the occurred saddle-node and/or Hopf bifurcation of the system is extracted. In this paper, at first, electric arc furnace is modeled by the differential-algebraic equations and then based on the projection method, two-dimensional center manifold at the Hopf bifurcation happens in the electric arc furnace system is achieved analytically. Projection method is discussed in the bifurcation theory and is presented totally in this paper. Finally, the results are compared by the computer simulations.

کلیدواژه‌ها [English]

  • Electric arc furnace
  • bifurcation theory
  • projection method
  • center manifold
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