HUANG Cai, YU Sunzheng. The new solution and numerical emulation for a nonlinear RLC circuits[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(3):83-88.
HUANG Cai, YU Sunzheng. The new solution and numerical emulation for a nonlinear RLC circuits[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(3):83-88.DOI:
A new solution and its numerical emulation for the nonlinear RLC circuit are given. The state variable of the circuit is expressed as the simple harmonic function of the phase angle. The determination for the first derivative of the phase angle about the time are used to solve the state equations. The relation of the time independent variable with the middle variable of the phase angle is shown as the integral for the reciprocal of the response frequency. The numerical values
including the phase portraits
the time-distance curve
the phase-distance curve
and the time-range curve
and the phase-range curve
and the range-frequency curve
and the phase-frequency curve and the response period
are computed. The results are in good agreement with the numerical integral method.