Transmission properties of doubly periodic LC ladder networks

Barroso, Joaquim J.; Greco, Ana F. G.; Rossi, J.O.

doi:10.1109/ppc.2015.7296856

Cited by 2 publications

(1 citation statement)

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“…On the other hand, circuits with two or more loops will be governed by more NFs. An interesting problem is the investigation of these frequencies on periodic circuits with a large/arbitrary number of loops [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Simulating normal modes and beats in a periodic inductor-capacitor circuit

Almeida

2024

Rev. Bras. Ensino Fís.

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This paper approaches a periodic inductor-capacitor circuit with N -coupled loops. Kirchhoff's voltage and current laws are used in order to obtain N -coupled second-order differential equations. These equations are decoupled by using a standard discrete sine transformation. Then the voltages and currents along the circuit are written as linear combinations of harmonic waves whose normal frequencies were determined. There are N of these frequencies that depend not only on the values of the capacitance and inductance but also, on how these elements are connected. Furthermore, one presents how each normal frequency can be synchronized using external batteries that initially charge the capacitors. Additionally, not only the analytical results are presented, but also, all circuits were simulated, using the free online platform Multisim, to corroborate the analytical calculations. Further, the simulations present a way of exploring the complex subject of coupled oscillations without dealing with all the analytical calculations. Moreover, one explores interferences that produce beats in the oscillating voltages in the circuit. Finally, a general interpretation of how the currents flow in the circuit is presented when a single normal mode is excited.

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Section: Introductionmentioning

confidence: 99%