Nonlinear Circuit Analysis in Time and Frequency-domain Example: The Forced Van-der-Pol Oscillator
ثبت نشده
چکیده
To predict nonlinear circuit behaviour, harmonic-balance (HB) is a popular and useful frequency-domain technique. But given its mathematical nature, it can only converge to mathematical solutions being harmonically related to the input sources into the circuit. Nevertheless, the mathematical solutions to a nonlinear system do not necessarily need to be harmonically related to the input signals (i.e., autonomous oscillator or non-harmonic spurious from amplifi ers) and here is where the conundrum begins.
منابع مشابه
A Linear Approach to the Control of Vortex Induced Vibrations of Circular Cylinders with a 2-D Van der Pol Model for Structural Oscillator
In the present paper, a new 2-D Van der Polstructural oscillator model is introduced for the vortex induced vibrations of circular cylinders.The main purpose of this task is to control the recently introduced model by means of modern control definitions in state space. In order to control the system, the whole model is linearized about its equilibrium point by deriving state-space matrices. The...
متن کاملSolution of Excited Non-Linear Oscillators under Damping Effects Using the Modified Differential Transform Method
The modified differential transform method (MDTM), Laplace transform and Padé approximants are used to investigate a semi-analytic form of solutions of nonlinear oscillators in a large time domain. Forced Duffing and forced van der Pol oscillators under damping effect are studied to investigate semi-analytic forms of solutions. Moreover, solutions of the suggested nonlinear oscillators are obta...
متن کاملNonlinear Time-Domain Analysis of Injection- Locked Microwave MESFET Oscillators
In this paper, injection-locked MESFET oscillators are analyzed using several numerical models. The injectionlocking behavior of the van der Pol equation and of a more complex representation using the Curtice–Cubic MESFET model are investigated. Analysis and experimental results are compared for an NE71083 transistor oscillator operating at 0.5 GHz. The deficiencies of using a van der Pol oscil...
متن کاملStudy of the Oscillation Condition of Quartz Oscillators by Gyrator Transformation
The calculation of the oscillation condition is one of the main points of oscillator analysis. Its determination in finite term allows one to calculate the steady state amplitude and frequency of the oscillator. Symbolic solutions provide an additional insight into the behavior of the circuit. As an example the sensitivity of the oscillator to parameter change can be expressed in an exact form....
متن کاملA new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method
In this article, a new method is introduced to give approximate solution to Van der Pol equation. The proposed method is based on the combination of two different methods, the spectral Adomian decomposition method (SADM) and piecewise method, called the piecewise Adomian decomposition method (PSADM). The numerical results obtained from the proposed method show that this method is an...
متن کامل