پایدارساز سیستم قدرت احتمالاتی

نویسندگان

دانشکده مهندسی برق - دانشگاه تربیت دبیر شهید رجایی - تهران

چکیده

یکی از روش‌های میرا کردن نوسانات فرکانس پایین، به‌کارگیری پایدارساز سیستم قدرت (PSS) می‌باشد. معمولاً تنظیم پارامترهای PSS با روش معین انجام می‌شود. در این روش تعداد محدودی از نقاط کار مختلف درنظر گرفته می‌شود. ازاین‌رو، کارایی PSS تنها محدود به همان نقاط کار می‌شود. در این مقاله طراحی PSS به‌ازای رنج وسیعی از تغییرات بار انجام می‌گردد. به این منظور، چند سطح بار مختلف درنظر گرفته می‌شود و به هر سطح بار یک احتمال اختصاص داده می‌شود. سپس برای درنظرگرفتن تغییرات بار در اطراف هر سطح، متناظر با هر سطح بار، یک توزیع احتمال نرمال برای تغییرات بار لحاظ می‌گردد. میانگین هر توزیع نرمال، برابر با مقدار سطح بار متناظر درنظر گرفته می‌شود. واریانس توزیع نیز برابر با درصدی از مقدار میانگین انتخاب می‌گردد. برای بار، دو مدل توان ثابت و امپدانس ثابت لحاظ می‌شود. برای تنظیم پارامترهای PSS، یک مسئله بهینه‌سازی تعریف می‌شود که تابع هدف آن، حداقل کردن احتمال قرار گرفتن مقادیر ویژه در نواحی نامطلوب است. مقایسه نتایج به‌کارگیری PSSهای معین و احتمالاتی در سیستم 39 شینه IEEE نشان می‌دهد که PSS احتمالاتی در برابر تغییرات بار مقاوم‌تر است.

کلیدواژه‌ها

عنوان مقاله [English]

Probabilistic Power System Stabilizer

نویسندگان [English]

  • F. Karbalaei
  • M. Taherkhani
Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
چکیده [English]

One of the low-frequency oscillation damping methods is to use power system stabilizer (PSS). Setting of PSS parameters is typically performed via certain (deterministic) methods, in which a limited number of different operating points are taken into account. Therefore, PSS performance is limited to the same operating points. In this paper, the design of PSS is performed for a wide range of load changes. In this regard, several different load levels are considered and one possibility is assigned to each load level. Then to consider load variation around each load level, corresponding to each level, a normal probability distribution function is considered for load changes. Mean value of each normal distribution is assumed to be equal to the corresponding value of the load level. Distribution variance is also chosen equal to the percentage of the mean value. Two models of constant power and constant impedance models are used for the loads. To set the parameters of PSS, an optimization problem is defined with the objective function of minimizing of the presence probability of eigenvalues in the unsuitable areas.  Comparing the results obtained by using certain and probabilistic PSS in the IEEE 39- bus test system shows that the proposed method is more robust to load variations.

کلیدواژه‌ها [English]

  • small signal stability
  • power system stabilizer
  • low frequency oscillations
  • state space equations
  • Monte Carlo
  • genetic algorithm

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