HTS materials are known to produce intermodulation and other nonlinear effects, and this may restrict their use in wireless communication systems. While significant efforts are being done to measure and characterize nonlinear properties of HTS materials, there are very few works that relate these properties to system parameters. In this work we attempt to bridge this gap by using Harmonic Balan...

A novel approach of using harmonic balance (HB) method is presented to find front, soliton and hole solutions of a modified complex Ginzburg–Landau equation. Three families of exact solutions are obtained, one of which contains two parameters while the others one parameter. The HB method is an efficient technique in finding limit cycles of dynamical systems. In this paper, the method is extende...

In this paper a new behavioral modeling approach for RF systems based is presented, based on a Volterra series input-output map representation. The modeling is done purely in the frequency domain, capturing the typical system level speciications for RF building blocks, independent of the implementation details. A harmonic balance simulation tool has been developed based on those models. The imp...

This paper will demonstrate the use of momentum to model on chip spiral inductors and transmission lines. The simulation results will be compared with measured data on these structures. These modeling techniques will be extended to include an on chip balun. A method of converting the results will be given so that compact efficient models can be created that can be included in any time domain or...

This work presents the use of Harmonic Balance to simulate the nonlinear behavior of HTS transmission lines. Good agreement with theoretical cross-checks is found We also show the use of this algorithm to fit the model of HTS lines from experimental measurements. We illustrate this by fitting several types of experimental data, and discuss how to avoid ambiguity in this fitting. Non-linear elem...

The Harmonic Balance Technique (HBT) is used to analyze the steady state performance of a two–state quantum system interacting with a classical sinusoidal electromagnetic wave and with a thermal bath at a fixed temperature. The linear time–variant differential equations describing such a system can be solved to any number of harmonics and the results can be compared with those obtained with the...

The equilibrium is studied of a pinched linear plasma column of "Extrap" type which is confined in a purely transverse magnetic field, partly arising from currents in a set of external conductor rods being introduced for stabilizing purposes. The axial and transverse losses are separated in a simplified theoretical model for which stability is assumed as a working hypothesis and anomalous trans...

It begins by describing the unique characteristics of RF circuits. The basic solution methods of transient analysis, harmonic balance, and shooting methods are presented and contrasted. Small-signal analysis versions of both harmonic balance and shooting methods are covered. Composite methods are next. These methods apply the base methods in layers to provide dramatic new capabilities. The comp...

This paper presents the influence of nonlinear terms of a previously proposed constitutive piezoelectric equation on the dynamics of a cantilever aluminium beam with a piezoelectric unimorph PZT (MIDE QP16N) attached to it. The system is subjected to different levels of base acceleration with the intention to evidence the limits of the linear model. To carry out the analysis, a one-dimensional ...

In this paper, a dynamical system, which consists of two linear mechanical oscillators, coupled with a nonlinear damping device is considered. First, the dynamic equations are derived, then, an analytical method such as harmonic balance method, is applied to obtain the response to a harmonic base excitation. The response of the system depends on the excitation characteristics. A parametric stud...