I have tried the methods of institutes in Nurmberg/Erlangen and Torino, but get failures to the worths of Ld(id,iq) and Lq(id,iq) the producer gives to us.
I want to create a Lookup-Tables of Ld(id,iq),Lq(id,iq), PsiPM(id,iq).
As you can apply D,Q currents, you just need to lock the rotor and apply desired currents, and read the step response, then calculate the Ld, Lq.
If you lock the rotor as described earlier, you just need to apply desired constant current to phase A and negative half of its value to the B and C phases. In first case, due to the alignment, the A current will be actually applied in D axis, in second case, it will be applied in Q axis. Then again, just read the step response and calculate the Ld, Lq.
But if you can apply the DQ currents directly, I assume the second paragraph just describes what the inverter does for you when you asking for DQ current - it just applies the Prak/Clark transformation based on the rotor position.