Please have a look at SimpleSolenoid for a general description of this actuator. Unlike in that simple magnetic network model, the coil is split into two lumped elements here. This enables for more realistic modelling of the radial leakage flux between armature and yoke (leakage permeance G_mLeakRad). Especially for large air gaps, the influence of this leakage flux on the actuator's inductance and its electromagnetic force is rather strong. Please have a look at ComparisonQuasiStatic for a comparison of both models with FEA-based results included as reference.
The parasitic capacitances c_par1 and c_par2 across both partial coils assure that the voltages across these coils are well-defined during simulation.