L15 is for 240V three-phase without a neutral. That is three hots, with 240V between any two hot wires. Great for running motors and machinery, but inconvenient for lights other 120V stuff.
L18 is for 208Y/120, which is three phase with a neutral. There is 208V between any two hot wires, and 120V between each hot and neutral. Popular in small commercial buildings where there is some need for three phase motors (air conditioning, etc) but also a lot of regular 120V loads.
Your grinder motor doesn't need a neutral, so it's not clear why it was equipped with an L18 plug. One possibility is that there is a 120V work light or something on the machine, connected between neutral and one of the hots. Another possibility is that it was used someplace where they had 208Y/120 power and they put L18 on everything whether it needed the neutral or not.
Here is a page with a decent explanation of the various services:
https://pveducation.com/solar-concepts/common-electrical-services/
There is also the whole 220/230/240V thing. A long time ago, the standard was 110V for lights and such, 220V and 440V for bigger loads. For a variety of reasons (efficiency and such), they gradually increased the nominal voltage. You'll find products marked 110V, 115V, 117V, and 120V. All are compatible, but 120V is the current standard. Likewise at the higher voltage end you'll see 220V, 230V, and 240V, along with 440V, 460V, and 480V. The current standard is that 240V and 480V are "supply" voltages - what the utility delivers. Modern motor nameplates are marked with 230 or 460V, which is considered "utilization" voltage - what the load needs. The difference is an allowance for voltage drop in the system.
Motors marked for 220-230V will run on 208V but can't quite deliver full horsepower. Motors marked 208/230 will deliver full power on both voltages (but typically draw less current and are more efficient on 230 or 240V). Motors marked with just 208V would probably run OK on 230/240 but might run hot.
If you are choosing outlets to wire your shop, the first question is where are you getting your three-phase power from?
If you have a rotary (or static) phase converter, you will NOT have a valid neutral for the three-phase side of the system and should NOT use an L18. Stick with L15.
If your power company is giving you 240V three phase, again, you won't have a neutral and should not use an L18. Stick with L15.
If your power company is giving you 208Y/120 then you can use L18 or optionally L15.
I use L15 on all my three phase stuff. I'm currently in a building that has 240V three phase, but if I move, I can use the same plugs and receptacles with 208Y/120 or with a phase converter.