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 is concerned with the study of third order quadratic and autonomous systems and the interest is oriented to the stable periodic oscillations. From the “jerk” equation model, the classes of minimal complexity presenting a Hopf bifurcation are derived and their local characterization is carried out by means of a suitable harmonic balance technique. Other possible system reductions pres...

In this paper, the analytical methods for approximate solutions of periodic motions to chaos in nonlinear dynamical systems are reviewed. Briefly discussed are the traditional analytical methods including the Lagrange stand form, perturbation methods, and method of averaging. A brief literature survey of approximate methods in application is completed, and the weakness of current existing appro...

Considerable work has been done on the development of advanced process control for the Electric Arc Furnace (EAF) steelmaking process. Historically, many control systems have been employed which rely on static heat balance calculations coupled with power input profiles to generate recipe driven control models. Steelmakers have desired to have continuous information about the gases exiting the f...

This paper describes a new simulation technique of nonlinear RF circuits driven by modulated signals. Based on a true mixed-mode algorithm, it allows time-domain transient analysis of the envelope, while handling the carrier behavior in frequency-domain. Being similar in scope to the previously reported Envelope Transient Harmonic Balance [1]-[3], it is not limited, though, in excitation bandwi...

The recent interest in the area of the control of chaos is remarked and the various approaches to this problem presented in the literature are briefly summarized. The Harmonic Balance (HB) technique for the approximate analysis of systems with complex behaviour is outlined and the general idea of using this technique for control problems is proposed. Two possible approaches are indicated to sho...

• A nonlinear system identification method using Harmonic Balance is developed. The proposed capable of accurately identifying non-smooth nonlinearity. performance demonstrated numerically and experimentally. can deal with the effects higher harmonics in input force outputs. effect model error measurement noise shown. Testing structures to characterise their internal forces challenging. Often a...