Linear and nonlinear characterisation of loading systems under piecewise discontinuous disturbances voltage: analytical and numerical approaches
Résumé
The characteristics of the dynamic systems exerted by discontinuous piecewise constant voltage loading are investigated. Compared to the systems under continuous voltage exertions, diverse behaviours of the systems with discontinuous exertions are found. Responses of the systems to various piecewise constant exertions under different initial conditions are analyzed theoretically and numerically. Conditions of oscillation and stability are also presented for such piecewise systems.
Mots clés
- nonlinear-dynamic loading systems
- piecewise constant arguments
- constant voltage loading
- continuous voltage exertions
- dynamic systems
- energy conservation
- energy saving
- linear characterisation
- linear systems
- nonlinear characterisation
- Numerical Analysis
- oscillations
- oscillation
- numerical simulation
- piecewise linear techniques
- Stability
- piecewise discontinuous disturbance voltage
- nonlinear dynamical systems
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