All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
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Authors
Morales, Cesar A.Issue Date
2022-01-01Keywords
CapacitorsDC networks.
Eigenvalues and eigenfunctions
Harmonic analysis
Integrated circuit modeling
Natural response
Oscillators
Power harmonic filters
source-free LC circuits
synchronous harmonic response
Transmission line matrix methods
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IEEE Transactions on Circuits and Systems II: Express BriefsDOI
10.1109/TCSII.2022.3176487Additional Links
https://ieeexplore.ieee.org/document/9778199Abstract
The full set of conditions for synchronous harmonic oscillations in multiple LC circuits are established. These are for discrete lossless linear systems in source-free response. An Electric Networks literature review indicates that even the very basic condition for synchronous harmonic free oscillations is rarely presented, which is: initial conditions as an eingenvector for the initial charges and no currents (for t = 0). It is demonstrated herein that there are more conditions: three in total; in addition, simulation results are presented to illustrate all these possibilities, in which synchronous harmonic oscillation can actually be experienced. It is also noted here, that reactance or LC networks are correct models in Physics (pulsed power systems, metamaterials and metal-dielectric composites) and for Engineering devices (electrotherapy, ignition and radio). IEEEType
info:eu-repo/semantics/articleRights
info:eu-repo/semantics/embargoedAccessLanguage
engISSN
15497747EISSN
15583791ae974a485f413a2113503eed53cd6c53
10.1109/TCSII.2022.3176487
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