Couple pointers about interlocking the fire system with the cooking equipment. From experience with fire Marshall's in my area.
Most fire systems today are wet systems. Since it can be conductive when it discharges, they require that ALL electrical equipment under the hood be de-enrgized when the system trips. That includes hood lighting, wall outlets, and any other wired equipment under the hood. Most systems today also require a "rate of rise heat detector" installed in the hood, and also connected in the system with the interlock.
For the air handlers, exhaust fan and air make up unit. They want the air make up system interlocked, so that it shuts down with a fire trip,
But the exhaust fan, should remain running. You want the source of fresh air (oxygen) to stop feeding the flames. Then the exhaust to keep running to keep the fire under the hood, and exhausting to the exterior of the building, where they can get to it. The exhaust duct is fully welded, spaced from combustibles and will contain any flames.
How you interlock things depends on what equipment you have, how many circuits there are, and if it's existing construction or new.
If you have several circuits, and its a new installation. One of the best ways is to provide a panel that just feeds underhood equipment, and the air make up, then provide it with a shunt trip main. One trip and everything goes down.
Provide a separate panel that feeds everything else, including the exhaust fan and the fire system control circuit. Breaker locks on these two.
With your center tapped delta service you could bring in one feeder to a trough below the panels and tap off to as many panels as the building requires. Remembering that each panel needs a main, and no more than 6 mains. One panel dedicated to the fire system equipment loads.
In old installations with existing equipment and supply circuits installed, a shutdown relay enclosure can be used to interrupt all of the required circuits. A bit more complicated, but more suited for existing kitchens.
You would be smart to speak with the fire contractor, about what the requirements are in your area. Before you get your roughing finished.
MTW