In this paper the scalar quasi-static magnetic hysteresis is described by means of a new model based on a sequential algorithm, which appears to be a possible alternative to the classical Preisach model. A procedure leading to the identification of the model parameters is described. The hysteretic behavior obtained by using the new model is in good agreement with experimental measurements as well as with the predictions of the Preisach model. Finally, both models have been applied to study the dynamics of a circuit with an hysteretic inductor, driven by a sinusoidal voltage source. Good agreement between the two simulations was found, but our model appears computationally less cumbersom...