Patent ID: 7392491

Claim:
A method for constructing a circuit for controlling an electromagnetic actuator, which electromagnetic actuator includes a coil having associated therewith a resistance R 1 and an inductance L 1 , comprising: modeling the electromagnetic actuator with an equation; calculating at least one resistance R 2j and at least one inductance L 2j , each of which is associated with at least one theoretical coil electrically connected to and physically remote from the electromagnetic actuator, wherein the resistance R 2j and the inductance L 2j are calculated by satisfying the equation using at least the function: I F ⁡ ( t ) = exp ω 21 ⁢ t ∑ j ⁢ ⁢ [ exp ⁡ ( ω 22 ⁢ j ⁢ t - φ j open ) ] + ∑ j ⁢ ⁢ [ exp ⁡ ( ω 22 ⁢ j ⁢ t - φ j close ) ] where ω 21 equals 2πR 1 /L 1 , ω 22j equals 2πR 2j /L 2j ; φ j open is a switching on phase, φ j close is a switching off phase, and j identifies a particular theoretical coil; and electrically connecting current supply means to the coil of the electromagnetic actuator, which current supply means are configured to substantially simulate the electrical effect of each theoretical coil having the calculated resistance R 2j and the calculated inductance L 2j , wherein the electromagnetic actuator is used in at least one of: (a) a valve in an engine valve train; and (b) a valve in a vehicle transmission.