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If you are going to design a transformer current source, which is surely possible, you need to calculate load impedance, connection wire resistance/inductance and transformer properties exactly instead of guessing about it.
For the intended low frequency, an iron core transformer is surely better suited. You may even use an industry standard current transformer with sufficient VA rating, reverse connected.
In case of a PWM source driving the transformer, you should have sufficient filtering after the H-bridge.
I don't understand your leakage inductance considerations, would you mind to sketch an equivalent circuit?
For the intended low frequency, an iron core transformer is surely better suited. You may even use an industry standard current transformer with sufficient VA rating, reverse connected.
In case of a PWM source driving the transformer, you should have sufficient filtering after the H-bridge.
I don't understand your leakage inductance considerations, would you mind to sketch an equivalent circuit?