#2 is the maximum for the lugs in the HPWC. It barely fits. #3 fits more easily, and is a little more flexible, but is harder to find and more expensive than #2 generally.
I just finished installing an HPWC in my second home. It was pretty easy because I put a 200 Amp sub-panel in the garage when I installed the HPC for the Roadster years ago. That panel is surface mount, and I don't mind surface mount conduit in my garage so most of the install was very simple and straight forward.. A pair of #2's and a #8 for ground feed just fine through the 1" conduit that Tesla recommends. Because
the HPWC is MUCH tighter than the breaker panel, I started making connections there and then finished the connections in the 100 Amp breaker inside the Siemens CB Panel.
I completely agree with Lloyd's comment, "
#2 is the maximum for the lugs in the HPWC. It barely fits." In fact, here is my analogy. Connecting the #2 wires in the HPWC is like wrestling an anaconda in your front coat closet, while connecting the same wire in the Siemens breaker panel, is like guiding a large, gentle horse into its stall.
I know that Tesla prides itself on sleek, industrial design, but they went too far in the HPWC. A little more space, and cable lugs one size larger, would have saved a lot of installer headaches across North America...