Stabilization of periodic orbits via time-delay feedback control
محل انتشار: شانزدهمین کنفرانس بین المللی برق
سال انتشار: 1380
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 1,493
فایل این مقاله در 12 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
PSC16_082
تاریخ نمایه سازی: 3 مهر 1386
چکیده مقاله:
Ferroresonance is a special case of jump resonance in which the nonlinearity is iron-core magnetization. Jump resonance refers to a
condition in a sinusoidally excited system. If an incremental change in the amplitude or frequency of the input to the system, or in the magnitude of parameters of the system, causes a sudden jump in signal amplitude somewhere in the system, jump resonance is said to have occurred. Thus, the jump can occur in the voltage, current, flux linkages, or in all three. In electric networks, ferroresonance oscillations can seriously
damage the equipment. They are caused by the interaction of the system's capacitance with the magnetic characteristics of the voltage transformers. Due to the nonlinear nature of these phenomena, the system's behaviour is extremely sensitive to initial conditions. One of the most exciting and interesting ideas developed in nonlinear dynamics concerns chaotic behaviour of a complex system. A deterministic system is said to be chaotic whenever its evolution sensitively depends on the initial conditions. The theory of chaos gained an important role in understanding complex behaviour of the dynamic system. Ferroresonant oscillations can be successfully described as chaotic. Chaotic dynamics has two additional characteristics. First, there is an infinite number of unstable periodic orbits embedded in the chaotic set. Secondly, during the temporal evolution, the system visits a small neighbourhood of every point in each one of the periodic orbits embedded within the chaotic attractor. Therefore, a chaotic dynamics can also be seen as shadowing some periodic behaviour at a given time, and erratically jumping rom one periodic orbit to another. The idea of controlling chaotic dynamics is to apply small perturbations to stabilise a trajectory when it
approaches a desired periodic orbit embedded in the attractor. Indeed, if a small perturbation can give rise to a very large response in the course of time, then it should be possible to direct the trajectory to any desired part of the attractor and produce a series of desired dynamical states by an appropriate perturbation. The problem of controlling chaos has gained particular attention in recent years. Two general methods were proposed: the Ott- Grebogi-Yorke (OGY) method [1] and the Pyragas, or adaptive method [2]. We apply the second method, appropriate for periodically forced chaotic systems like the power system that we control. We describe the design of the feedback controller and present the
results of the stabilisation procedure.
کلیدواژه ها:
نویسندگان
Biljana Stojkovska
Faculty of Electrical Engineering, University of Ljubljana Tr۲aska ۲۵, SI-۱۰۰۰ Ljubljana Slovenia
Robert Golob
Faculty of Electrical Engineering, University of Ljubljana Tr۲aska ۲۵, SI-۱۰۰۰ Ljubljana Slovenia
Aneta Stefanovska
Faculty of Electrical Engineering, University of Ljubljana Tr۲aska ۲۵, SI-۱۰۰۰ Ljubljana Slovenia
مراجع و منابع این مقاله:
لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :