LTspice Transformer issues

Question

I'm struggling with this simple schematic in LTspice. I just want to made a 1:1 insulation transformer but probably I'm missing something. In theory it should works, the inductor are identical and the voltage is imposed from the primary V1. The power should be converted so V1 * I1 should be equal V2 * I2, but it doesn't happen. What am I missing?

Thanks!

LTspice simulation

Answer 1

Thanks Ricardo, I've made the circuit and tested it, all works as expected. I also made the simulation with PLECS and there the simulation works as expected. I've found on electronics stackexchange that as ideal transformer they use a 1000H transformer. I still don't know why but with this modify all is now working.