A qualitative method to verify the presence of parametric oscillations at ${f_{0}}/{2}$ in power amplifiers (PAs) is presented and validated. It relies on simultaneous application fundamental subharmonic tones trigger possible can be implemented any commercial harmonic balance solver without requiring external software that may expensive or however not available designer. Wide applicability gua...

This article presents a Harmonic Balance Method-based numerical strategy to provide qualitative characterization of compressor blade’s dynamics when structural contacts occur with the surrounding casing. The mitigation Gibbs phenomenon follows two-pronged approach: (1) regularization unilateral contact law and (2) adjustment Fourier coefficients by means Lanczos filtering technique. In order va...

The non-uniform air gap in an electrical machine caused by rotor eccentricity creates an asymmetrical flux-density distribution in the air gap. This can affect the nominal torque produced by the machine. Eccentricity also produces forces that act on the rotor which may also have an effect on the torque. Thus, it is important to know how the torque of the machine behaves. In this paper, the torq...

The harmonic content of periodic solutions in ODEs is obtained using standard techniques of harmonic balance and the fast Fourier transform (FFT). For the first method, the harmonic content is attained in the vicinity of the Hopf bifurcation condition where a smooth branch of oscillations is born under the variation of a distinguished parameter. The second technique is applied directly to numer...

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...

The influence of dynamic eccentricity on the harmonic spectrum of the torque of a permanent magnet synchronous machine is studied. The spectrum is calculated by an energy balance method. Uncertainty quantification is applied by using generalized Polynomial Chaos and Monte Carlo. It is found that the displacement of the rotor impacts the spectrum of the torque the most.

Combinig the harmonic balance method (HBM) and a continuation method is a well-known technique to follow the periodic solutions of dynamical systems when a control parameter is varied. However, since deriving the algebraic system containing the Fourier coefficients can be a highly cumbersome procedure, the classical HBM is often limited to polynomial (quadratic and cubic) nonlinearities and/or ...

This thesis investigates using the cascade multilevel inverter as an alternative to conventional pulse width modulated inverters for large hybrid-electric vehicle (HEV) drivetrain applications. Previous research considered constant and equal dc sources with invariant behavior; however, this research extends earlier work to include variant dc sources, which are typical of lead-acid batteries whe...