• 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...

The forced Duffing oscillator is investigated by intentional time-delayed displacement feedback by fast Fourier transform based incremental harmonic balance method along with continuation technique (FFT-IHBC). FFT-IHBC can efficiently develop frequency response curves with all stable and unstable solutions and solution branches. Appreciable reduction in peak value of response and gradual reduct...

This paper describes the application of Harmonic Balance algorithms to predict nonlinear effects in planar High Temperature Superconductors (HTS) microwave circuits. The resulting algorithms are fast and efficient and can be used both for the characterization of the nonlinearities in the HTS material, and for the prediction of the behavior of an HTS circuit given the parameters of these nonline...

Modeling of Cascaded Multilevel converter has put more emphasize on conventional cascaded Hbridge inverter. First a new phase shifted SPWM control algorithm for cascaded NPC/H-bridge inverter is proposed. Its Superior harmonic suppression is verified by comparing its harmonic spectrum with that of the conventional multicarrier approach. For DCbus capacitor voltage control, a new, balance circui...

| In this paper, we present a new implementation of the harmonic balance method which extends its applicability to circuits 2-3 orders of magnitude larger than was previously practical. The results reported here extend our previous work 1] which only considered large circuits operating in a mildly nonlinear regime. The new implementation is based on quadratically convergent Newton methods and i...

Stationary pulse solutions of the cubic-quintic complex Ginzburg-Landau equation are related to heteroclinic orbits in a three-dimensional dynamical systems and they are usually obtained using numerical simulation. The harmonic balance method has severe limitation in computing homoclinic/heteroclinic orbits since the period of such orbits is infinite. In this paper, we present a perturbation-in...

Consider a one-mass system with two degrees of freedom, nonlin-early coupled, with parametric excitation in one direction. Assuming the internal resonance 1:2 and parametric resonance 1:2 we derive conditions for stability of the trivial solution by using both the harmonic balance method and the normal form method of averaging. If the trivial solution becomes unstable a stable periodic solution...

Frequency-domain distortion analysis is very important for designing the analog integrated circuits. We propose here a new method based on the Spice-oriented harmonic balance method, where the Fourier transformations of the resistive circuits driven by a periodic input are carried out by the Fourier transfer circuit model. The circuit is composed of the analog behavior models(ABM) of Spice, whi...

This paper further investigates on a basic issue that has received attention in the recent literature, namely, the robustness of complete stability of standard Cellular Neural Networks (CNNs) with respect to small perturbations of the nominal symmetric interconnections. More specifically, a class of third-order CNNs with a nominal symmetric interconnection matrix is considered, and the Harmonic...