Hello, cool work on the circuit. I saw the design and it looked a lot like the circuit John Bedini spent a good part of his life working on/with. Glad to see it's still alive and well.

 

44% is a value close to some of my bench values. In practice the battery doesn’t charge as fast as your small V out graph but I’m impressed by the representation of the current pulses that accord with other calculations.

It would be interesting to see if an ac analysis, to try and find the resonance point, concurs with the calculated value of about 2 Hz.

 

What makes you think that the optimum coincides with the resonance? It can be without resonance. And with your inductances and capacitances, the oscillating circuit has a frequency of about 0.01 Hz. (318.e-3/3.*53.e-3)^0.5/2./pi = 0.01192919118908

L is not 318mH but about 105mH

 

In practice the battery doesn’t charge as fast as your small V out graph

To ability of showing full charging process of Lead_bat
and detailed pulses in the same time, in circuit post #160
lead-acid battery has very small capacity = 33 mAh.

It would be interesting to see if an ac analysis, to try and find
the resonance point, concurs with the calculated value of about 2 Hz.

It is nonsense to talk about resonance, because capacitor is charging
linearly from current source and does not coupled series or parallel
with inductance.
Transistor M1, inductance L1...L3 and diode D2 in your circuit post #93
represent well known and wide used boost converter, often used as
current source.
It is why I recommended you to use converter from AliExpress
which has the same as your topology, but professionally designed,
well manufactured and possesses 96% efficiency.
Frequency of pulses:
f =1 / (Icharging(C1)[A] * (Vmax(C1)[V] - Vmin(C1)[V]) * C1[F])
For example, in circuit post #160
f = 1 / (1 * (45 - 15) * 0.053) = 0.629 Hz.

 

Video about some of the newer capacitors how they compare and keep up with today's technology demands.

 

To ability of showing full charging process of Lead_bat
and detailed pulses in the same time, in circuit post #160
lead-acid battery has very small capacity = 33 mAh.

It is nonsense to talk about resonance, because capacitor is charging
linearly from current source and does not coupled series or parallel
with inductance.
Transistor M1, inductance L1...L3 and diode D2 in your circuit post #93
represent well known and wide used boost converter, often used as
current source.
It is why I recommended you to use converter from AliExpress
which has the same as your topology, but professionally designed,
well manufactured and possesses 96% efficiency.
Frequency of pulses:
f =1 / (Icharging(C1)[A] * (Vmax(C1)[V] - Vmin(C1)[V]) * C1[F])
For example, in circuit post #160
f = 1 / (1 * (45 - 15) * 0.053) = 0.629 Hz.

Ok, makes sense.