Linear and nonlinear characterisation of loading systems under piecewise discontinuous disturbances voltage: analytical and numerical approaches

Nour Murad 1 Alain Celeste 1
1 LE2P - Laboratoire d'Energétique, d'Electronique et Procédés
Abstract : 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.
Keywords : constant voltage loading continuous voltage exertions energy conservation dynamic systems linear characterisation energy saving linear systems nonlinear characterisation Stability piecewise discontinuous disturbance voltage nonlinear dynamical systems nonlinear-dynamic loading systems Numerical Analysis numerical simulation oscillation oscillations piecewise constant arguments piecewise linear techniques
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Nour Murad, Alain Celeste. Linear and nonlinear characterisation of loading systems under piecewise discontinuous disturbances voltage: analytical and numerical approaches. 2004 First International Conference on Power Electronics Systems and Applications, Nov 2004, Hong-Kong, China. pp.291--297. ⟨hal-01221999⟩

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