In 2015 we started finding that Toshiba compressors had smart secondary sensors that had to stay within a certain temperature range in order to run.
If we just put the secondary sensor out to the side, it detected temperatures to warm to run.
If it was in front of the cold air it felt too cold to run.
Here is a picture of where the T2 (secondary sensor) is when it's in place:
Our super awesome friend Jarred figured out that we had to wire in a resistor to get it to work.
The resistor is spliced in parallel. This way the total resistance is a little lower than it would otherwise be with just the thermistor which makes the AC unit think it's seeing a higher temperature (and not limit the compressor operation). At the same time, because the thermistor is still in the circuit, the AC unit sees the temperature varying while the unit is under operation which seems to be important (replacing the thermistor with a fixed resistors of several different values did not work).
Here is a picture of what it looks like with the resistor in place:
He cut the sensor wire, stripped the wires and wrapped them both around the 330k resistor. Any resistor will do 1/8 watt and up. He got his at radio shack.