As discussed frequently here, the TVS diode is a handy way to protect against damaging voltage transients that are usually generated based on collapsing magnet fields in coils/motors. The topic of testing frequently comes up. Obviously, testing for a shorted TVS is easy, an ohmmeter. If it's shorted, it's really shorted, and will read as a short.
Testing for an open is a bit trickier. I reached in my parts box and produced a 1500W 36V TVS at Digikey, the Littlefuse 1.5KE36CA. I connected it to a 0-50V DC power supply, set the current limit at around 25ma, and did a voltage sweep from 0V to 50V. In the video below, you can see right at 35V, the voltage stops increasing as we are in current limiting due to the TVS diode conducting. This shows that the TVS diode is conducting and not allowing the voltage to go any higher. If we look at the specifications of this TVS, we'll see that the minimum breakdown voltage is 34.2 volts, so right above that we should go into current limiting, and we do.
This test has indicated the TVS is not open and is correctly functioning. Note that for a bi-directional TVS such as this one, it's necessary to repeat the test with the diode connected in reverse polarity to insure that both polarities are clamped properly.
This simple test that can be performed on the bench to test a TVS protection diode.