This paper studies responses of threedimensional (3-D) spiking oscillators to pulse-train input. The 3-D spiking oscillator consists of a linear subcircuit and a state-resetting switch. In order to analyze responses of the circuits, we introduce a mapping procedure based on a one-dimensional (1-D) return map. We then consider a simple 3-D spiking oscillator based on an RLC circuit. For equidist...

In this article the principle of the switched capacitor in a series RLC circuit is presented. The classical methods for phase angle control are described, and a novel control method, where the capacitor is placed in the centre of a bidirectional H bridge switches. Using an electronic circuit simulation program, the representative voltage and current curves are obtained. The phase angle at vario...

Abstract-In this article, the authors first introduce four special singularity integral identities that involve the impulse, the doublet and the unit step functions, and provide a simple proof for each integral identity. Next, to demonstrate the use of these singularity integral identities, the authors consider the impulse response of two second-order RLC circuits and use these integrals to cal...

The Feynman–Vernon influence functional formalism which is adequate for the study of dissipative dynamics used to describe weakly coupled circuits. classical behavior system formed by a resistance, electric and magnetic polarizations characterized approach whose behavior, although linear in some sense, not representable systems perfect oscillators. In addition, combinations complex q-exponentia...

An original parameters extraction strategy has been developed using a physical and scalable 2π equivalent on-chip spiral inductors RLC circuit model. This strategy based on optimization only, was used to model spice model parameters as a function of geometrical inductor parameters. The data used in this paper were obtained by using a 3D electromagnetic Field Solver combined with a Design of Exp...

With interconnect increasingly contributing to the electrical behaviour of integrated circuits, both by higher frequencies and smaller dimensions, it becomes increasingly important to incorporate its behaviour into simulations of ICs. This can be done rather elegantly by summarizing interconnect behaviour into a compact or reduced order model which is then co-simulated with the circuit. A simil...

Arbitrary interconnections of passive (possibly nonlinear) resistors, inductors, and capacitors define passive systems, with power port variables the external source voltages and currents, and storage function the total stored energy. In this paper, we identify a class of RLC circuits (with convex energy function and weak electromagnetic coupling), for which it is possible to “add a differentia...

Thyristor controlled reactors are high power switching circuits used for static VAR control and the emerging technology of flexible ac transmission. The static VAR control circuit considered in the paper is a nonlinear periodically operated RLC circuit with a sinusoidal source and ideal thyristors with equidistant firing pulses. This paper describes new instabilities in the circuit in which thy...