Transverse Stability in the Discrete Inductance-Capacitance Electrical Network
نویسندگان
چکیده
This work investigates the dynamics of modulated waves in a coupled nonlinear LC transmission line. By means of a method based on the semi-discrete limit and in suitably scaled coordinates, we derive the two-dimensional NLS equation governing the propagation of slowly modulated waves in the network. The exact transverse solution is found and the analytical criteria of stability of this solution are derived. The condition for which the network can exhibit modulational instability is also determined. The exactness of this analytical analysis is confirmed by numerical simulations performed on the exact equation of the network.
منابع مشابه
Reducing the inductance requirements of piezoelectric shunt damping systems
Structural vibration can be reduced by shunting an attached piezoelectric transducer (PZT) with an electrical impedance. Current shunt circuit designs, e.g. a single-mode inductor–resistor network, typically require large inductance values of up to thousands of henries. In practice, discrete inductors are limited in size to around 1 H. By placing an additional capacitance across the terminals o...
متن کاملGeneralized Equivalent Circuit Model for Transverse Waveguide Slots and Applications
A generalized equivalent circuit model for waveguide transverse slots is proposed for the efficient analysis of waveguide transitions and waveguide slot antennas and slot-excited antennas. The transverse slots on the broad and end waveguide walls analyzed in this paper are decomposed into three structures: two apertures and an auxiliary waveguide section. The slot aperture in the host waveguide...
متن کاملThe Effect of Artificially Reducing the Size of Inductors in Piezoelectric Shunt Damping Circuits
Connecting a passive electrical network to a structurally attached piezoelectric transducer is referred to as passive shunt damping. Current shunt circuit designs, e.g. a single mode L¡R network, typically require large inductance values of up to thousands of Henries. In practice, discrete inductors are limited in size to around 1 H: By placing an additional capacitance across the terminals of ...
متن کاملCompact Lossy Inductance Simulators With Electronic Control
In this paper two R‑L network simulator configurations employing a single VDDIBA, one resistance and one grounded capacitance are presented. The first configuration is a grounded series resistor-inductor (R‑L) network simulator and the second configuration is intended for grounded parallel resister-inductor (R‑L) circuit simulation. Both the proposed circuits enjoy several beneficial features s...
متن کاملInvestigation of the Effect of Synchronization Techniques on the Stability of Grid-Connected Photovoltaic Systems
Abstract: Due to the increasing use of microgrids, investigation of their stability is of special interest. One of the disadvantages of an inverter-based distribution unit is that at any given time, phase and frequency information at the point of common coupling (PCC) is required that affected the stability. The synchronization techniques include synchronous reference frame phase-locked loop (S...
متن کامل