Variable valve actuation is one of automotive constructors' strategies to fulfil environmental queries about emission of pollutant gases. It brings improvement to the thermal engine, and many constructors have their own devices associated to the camshaft, with a gain between 8 and 10% on fuel consumption. The use of camless actuator brings further more gain, from 15 to 20%. The established approach during this thesis consists in modelling a chosen topology of actuator, and next in optimization. However, camless specifications and constraints require fast models, but with correct accuracy. That's why we use 3D permeances network in steady state. That model is obtained from extension of its 2D version. It is still fast and gives results in good agreement with measurements. We proposed a new analytical approach of eddy currents distribution in transient state, directly from the evolution of magnetic flux. Thus we have Neumann's boundary conditions in the diffusion equation. Arbitrary magnetic flux excitation and saturated material (with semi-analytical approach) are considered.
