Quick and dirty, back of the envelope answer: You would need a current draw of 1500 to 1700 amps from the 7104-cell pack at ~6000rpm, 51mph.
Show your work on how to get 691hp at the motor shaft from an awd tesla.
What do we know about the motors?
from post by Dennis
Max hp on the rear engine is at 5950 rpm and 6100 rpm for the smaller front motor on the p85d
from the tesla website for the performance model (latest data P90D?)
front 193 kW (259hp)max at 6100 rpm, max speed 18000 rpm, max torque 330 mN
rear 350 kW (469hp)max at 5950 rpm max speed 16000 rpm, max torque 600 mN
motor rating 320V
overall final drive ratio: 9.73:1
from R&T article for P85D
front 221 hp 165 kW, 244 ft-lbs
rear 470 hp 351 kW, 443 ft-lbs
total 691 hp 516 kW, 687 ft-lbs
Assume the front and rear motor power peaks are at the same rpm for the 85 and 90 based upon post by sillydriver about the numbers:
"Next, the manual says the max ‘net power’ for the ‘performance’ rear motor is 350Kw @ 5950RPM (divide by .7457 to get 469HP), and the front ‘performance’ motor is 193Kw @ 6100RPM (259HP). This disagrees with the 503HP for the rear now on the website, but DOES agree with the 259HP for the front. Discrepancy unexplained. Note that the ~6000RPM for peak powers in each = 51MPH. It sounds like the MS, with its single gear, begins to fall out of its power band over 51MPH, but how this interacts with max battery power is unclear."
So use 6000 rpm for both front and rear to get the 691 hp (516kW)
for 516 kW output, and 95% efficiency of inverter => 543 kW input power
543kW/360V = 1509 Amps (using 10% sag on full pack voltage)
543kW/320V = 1697 Amps (using motor rating voltage)
Extra Credit:
Use cell test data graph from wk057 to account for cell internal resistance.