کنفرانس مهندسی برق ایران

صفحه اصلی / سی و دومین کنفرانس بین المللی مهندسی برق

Temporal Green's function of an RLC resonator with arbitrary time-varying capacitance using differential transition matrix

نویسندگان :

Somayeh Boshgazi¹ Khashayar Mehrany² Mohammad Memarian³

1- Sharif university of technology 2- Sharif university of technology 3- Sharif university of technology

کلمات کلیدی :

‎Time-varying Circuit،Transition Matrix Method،Temporal Green's Function‎

چکیده :

‎Time-varying electromagnetic structures and circuits have gained unprecedented research attention in the past decade enabling new phenomena with important applications‎. ‎The different scenarios share a common ground‎, ‎the effect of time-varying resonances‎. ‎In this paper an analytical time-domain Green's function for a simple RLC circuit with an arbitrary time-varying capacitance is presented‎. ‎The idea of the proposed method is to substitute the rapidly varying amplitudes of capacitor charge or inductor‎ ‎current with two slowly varying equivalent amplitudes‎, ‎reminiscing the WKB approach but with time-varying amplitudes‎. ‎This differential transition matrix method based formalism is general for every continuous or discontinuous time variation of‎ ‎the capacitance and/or source excitation‎. ‎Two time-periodic LC examples are presented demonstrating high accuracy of the solution in comparison with the numerical and analytical approaches in the literature‎.