On Chrysler 45RFE electronic automatics (which are used in Jeep Grand Cherokees and are similar to Chrysler's 41TE and 42LE transmissions), the Transmission Control Module (TCM) looks at the engine coolant temperature sensor reading when the vehicle is first started and use that as a reference point for estimating the
ATF fluid temperature. Once this has been done, the TCM updates the estimated transmission oil temperature as the vehicle is being driven based on torque converter slip speed, vehicle speed, gear position and engine coolant temperature. The estimated oil temperature will be pretty close to the real oil temperature if the vehicle is driven normally and there are no other problems
The Chrysler 45RFE automatic transmission in your Jeep uses several "shift schedules" that are based on ATF oil temperature. There is an
"extreme cold" schedule when the oil temperature is below -16 degrees F that allows Park, Neutral, Reverse, 1st and 3rd gears only. If the oil temperature is between -12 degrees and 10 degrees F, it uses the
"super cold" shift schedule that delays 2-3 and 3-4 upshifts, and provides an earlier 4-3 and 3-2 coastdown shifts. High speed 4-2, 3-2 and 2-1 kickdown shifts are prevented in this mode. When the ATF is between 10 and 36 degrees, the
"cold" schedule takes over and the transmission shifts at higher throttle openings and high speed 4-2, 3-2 and 2-1 kickdown shifts are still prevented. Also, there is no torque converter clutch lockup in the cold, super cold or extreme cold ranges.
Once the ATF is above 40 degrees, the TCM goes to the
"warm" schedule which allows normal upshifts, kickdowns and coastdowns, but still no torque converter lockup. When the ATF reaches 80 degrees, the TCM changes to the
"hot/normal" mode and begins to engage the torque converter when vehicle speed is above about 22 mph.