IJE TRANSACTIONS B: Applications Vol. 32, No. 2 (February 2019) 328-337    Article in Press

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A. Rezaei and M. H. Sadeghi
( Received: February 26, 2018 – Accepted in Revised Form: April 26, 2019 )

Abstract    Energy balance method is an effective and simple method which is used in the amplitude calculation of Aeolian vibration in transmission lines with Stockbridge damper. However, the accuracy of the results obtained by this method, heavily depends on the assumed mode shapes of the conductor vibration. In this study, by considering an appropriate model for the conductor vibration, a comprehensive methodology is presented to calculate the steady-state vibration amplitude of a conductor with arbitrary number of dampers. In this proposed method, the effects of traveling waves, variations of amplitude and phase, boundary conditions (finite length of the conductor), as well as the effect of number, location and impedance of the dampers are taken into account. Natural frequencies, damping rates and complex mode shapes are also obtained from forming and solving the nonlinear eigenvalue problem. Using this method, the effects of the damper placement on the vibration amplitude and bending strain are examined to achieve an optimum damper location. The comparison of the obtained values shows that considering the above parameters has a significant effect on the accuracy of the results.


Keywords    Aeolian Vibration, Transmission Line, Energy Balance Method, Stock-bridge Damper, Optimum location



تعیین دامنه ارتعاشات «آولین» رساناهای خطوط انتقال برق دارای میراگر «استاک¬بریج»، به دلیل پیچیدگی رفتار رسانای رشته¬ای، از روش «تعادل انرژی» انجام می‌شود. دقت نتایج بدست آمده از این روش، به شدت به شکل مود فرض شده برای ارتعاش رسانا وابسته است. در تحقیق حاضر با در نظر گرفتن یک مدل مناسب برای ارتعاش رسانا، روش جامعی برای محاسبه¬ی دامنه ارتعاش پایای رسانای دارای تعداد دلخواه میراگر ارایه می¬شود. در این روش، اثرات روندگی موج، تغییر دامنه و فاز نسبت به زمان، شرایط مرزی دو انتها (طول محدود رسانا) و همچنین تاثیر تعداد، محل نصب و امپدانس میراگر در شکل مود ارتعاشی لحاظ می¬شود و فرکانس¬های طبیعی، نرخ میرایی و شکل مودهای مختلط از تشکیل و حل مساله مقدار ویژه غیرخطی مربوطه بدست آورده می¬شود. همچنین با استفاده از این روش اثر محل نصب میراگر بر روی دامنه ارتعاش و کرنش خمشی رسانا بررسی شده و محل نصب بهینه استخراج می¬شود. مقادیر بدست آمده نشان می¬دهند در نظر گرفتن پارامترهای فوق اثر قابل ملاحظه¬ای بر دقت نتایج دارد.


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