Optimized high power high energy ignition system

In a high power high energy ignition system for internal combustion engines including at least one energy storage and discharge capacitor C, at least one resonating inductor of inductance Le, one or more ignition coils Ti of primary turns Np, secondary turns Ns, and turns ratio N, where i=1, 2, 3 , . . . , and each coil Ti having a coil primary current switch means Si, and each coil having its high voltage secondary winding connected to a spark plug, the system constructed and arranged according to the transient voltage doubling formulation with doubling factor DF equal to [(N**2)*C2/C], where C2 is the coil output capacitance, and magnetic flux formulations derived from Maxwell's equations to produce very high power high energy high efficiency ignition powered by an electrical power source for supplying power to the ignition system by charging up said capacitor C, the ignition firing controlled by an ignition controller to produce ignition sparks by discharging said capacitor C through actuation of said switch means Si, the improvement wherein said system is constructed and arranged:

• a) to provide, under normal operating conditions of the engine, ignition spark energy characterized by higher spark frequency and spark power during the early part of the sparking phase or spark duration to enable reduced size of the ignition coils Ti and to provide energy which changes slowly relative to engine speed, and
• b) to provide overall system optimization:
• (i) with doubling factor DF less than 0.4, and (ii) with coil core saturation flux density at normal operating temperatures to correspond approximately to the open circuit peak magnetic flux density B2[x(t0)] whose open circuit phase angle x(t0) is approximately 155 degrees at the peak of the secondary high voltage V2(0).