The equalizing resistors help ensure that the 450 volt capacitors, which have unequal leakage current, do not exceed 450 volts.
The 5 uF cap is the energy storage for the pulser.
Another way to do this is to use an inductor. This can be exciting. You need a 2H inductor. Two paralleled Hammond Manufacturing 193S inductors will work. The risetime might be in the tens of microseconds range. A power supply is used to charge the inductors to 3 amps. The TVS is placed across the inductors. The trick here is to disconnect the power supply from the inductors. As it is disconnected the voltage will rise until the TVS conducts at over 1500 volts.
HV DC disconnect relays are available but are not an everyday item. Pulling a wire away fast enough as it's arcing is a problem. So, I think the capacitive discharge method is easier.
A few years ago I designed a linear current amplifier for testing TVS devices. It can test a 30 Joule TVS from 20 to 600 volts at up to 1700 amps or 100 kW, whichever is less.
If you're looking for a production test method something like this is what you need and not a piece of wire as I described. At the 1500 volt, 3 amp level this is not a difficult design.