Among the many advantages of the hybrid variants of Automated Mechanical Transmissions (AMTs) such as the Dual Clutch Transmission are faster gearshifts and excellent acceleration that comes from reduced drive-train losses without torque interrupts which translates into improved drive quality through smoother shifts. However, actuator system dynamics and controls remain critical challenges to attaining the full benefits of such AMT variants, which demands precise timing and coordination of the actuators. This paper presents a method for modeling a solenoid, including its non-linear electromagnetic characteristics. The model has been validated against experimental measurements. The significance of the work is that an efficient and robust method that allows precise predictions of a hydraulic valve pressure, flow through the system and the position of the hydraulic elements has been devised.