The objective of this thesis is to analyze the dynamic behaviour of a hysteresis motor by means of a lumped-parameter model. With the development of such model, a flux observer for sensorless control of this machine is possible. Previous works in literature present an innovative model for the motor introducing a transient dynamic equivalent circuit and exploiting the state-space model for a field-oriented control. This work implements a model for a particular hysteresis machine prototype in MATLAB/Simulink. The model considers the equivalent circuit of the motor, adapted to the structure topology and material properties of a hysteresis motor for water pumping applications in automotive systems.