In this contribution, two voltage-source converter (VSC) models based on the Fourier series and the hyperbolic tangent function are proposed. The models are described in detail. The proposed models can be used for the fast simulation in the time domain of power electronic devices based on sinusoidal pulse width modulation VSCs; undesirable error introduced by high speeds at the switching times is eliminated; even if the harmonic distortion from the converter is taken into account. The switching instants in the Fourier model are approximated in closed form and an iterative algorithm is developed based on the Newton-Raphson method for the exact calculation of the switching instants. The hyperbolic tangent model does not need the calculation of the switching moments as in the case of the Fourier model.