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  1. Boundary control design for vibration suppression and attitude control of flexible satellites with multi-section appendages

fTemporal green's dunction of an RLC resonator with arbitrary time-varying capacitance using differential transition matrix

Boshgazi, S ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1109/ICEE63041.2024.10668308
  3. Publisher: IEEE , 2024
  4. Abstract:
  5. 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. © 2024 IEEE
  6. Keywords:
  7. Temporal Green's Function ; Time-varying Circuit ; Transition Matrix Method ; Capacitance ; Capacitor bank ; Electric network analysis ; Electromagnetic transients ; Time domain analysis ; Transfer matrix method ; Arbitrary time ; Common ground
  8. Source: Iranian Conference on Electrical Engineering, ICEE ; Issue 2024 , 2024 ; 21647054 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/10668308