Steady state analysis of free or forced oscillators by harmonic balance and stability investigation of periodic and quasi-periodic regimes

1995 ◽  
Vol 5 (3) ◽  
pp. 210-223 ◽  
Author(s):  
Edouard Ngoya ◽  
Almudena Suárez ◽  
Raphaël Sommet ◽  
Raymond Quéré
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Steady State Analysis ◽  
Stability Investigation ◽  
Forced Oscillators ◽  
State Analysis

INEXACT NEWTON METHODS FOR THE STEADY STATE ANALYSIS OF NONLINEAR CIRCUITS

1996 ◽  
Vol 06 (01) ◽  
pp. 43-57 ◽  
Author(s):  
NICOLA GUGLIELMI
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Original Problem ◽  
Nonlinear Circuits ◽  
Projection Technique ◽  
Steady State Analysis ◽  
Nonlinear Algebraic System ◽  
The Time Domain ◽  
Theoretical Foundations ◽  
State Analysis

In this paper numerical problems arising from steady state analysis of nonlinear circuits with quasiperiodic excitation are discussed. The approach we consider is based on the piecewise harmonic balance techniques8,9 (HB), a methodology which has its theoretical foundations in Galerkin's procedure (see the paper by Urabe12). The original problem, which can be expressed in the form of a system of integro-differential equations in the time domain, is changed into a nonlinear algebraic system through a natural projection technique. Thus, one of the main issues we have investigated consists in the numerical solution of the specific nonlinear algebraic problem.

scholarly journals Steady State Analysis Of Single Phase IPM Motors By D-Q Harmonic Balance Method

2021 ◽  
Vol 12 (1) ◽  
pp. 43-51
Author(s):  
Asogwa Jude C. ◽  
Obe Emeka S. ◽  
Nnadi Damian B. ◽  
Oti Stephen E.
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Single Phase ◽  
Harmonic Balance Method ◽  
Phase Variable ◽  
Steady State Analysis ◽  
Q Model ◽  
Balance Technique ◽  
Harmonic Balance Technique ◽  
State Analysis

A concise steady-state analysis of a single-phase line-start permanent magnet (SPLSPM) machine is conducted from a developed d-q model using the d-q harmonic balance technique. The d-q model was developed in rotor reference frame from a phase variable model of the machine. SPLSPM whose performance indices were characterized by high torque ripples has detailed analysis docile mostly in computer simulations quite unlike the three-phase types. The main cause is not far-fetched, it was due to nonexistence of precise mathematical model in d-q rotor frame of the motor due to the unbalanced field winding, the rotor saliency and the presence of the capacitor in the auxiliary windings. Even after model has been developed, the simple traditional procedure of setting all time varying component to zero for steady-state analysis fails because the rotor position dependence on the inductance expressions could not be eliminated. The d-q harmonic-balance technique was then applied. An important feature of the harmonic balance technique was that it decoupled all equations to simple sine waveforms in a style that resembled Fourier series. Results yield torque pulsation, current and load characteristics in the steady state.

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