Of course I will not build anything like that on my own, clearly I have no such skills nor experience.
However, I am interested in how it can be done properly?
Thanks.
Ah, Ok, I understand.
The biggest problem would probably actually be the voltage measurement - i.e. How would you get the voltage connection from the bus bar to your board, you can't just tack on a wire. In practice you would end up with an external purpose built (probably off the shelf) voltage divider, that would have suitably rugged bolted connection to the bus bar and ground / earth reference. Mechanical integrity and insulation are everything - losing the ground connection for instance could be catastrophic, as would an insulation breakdown. From the divider, you would then get a 'safe' voltage to go into your measurement gear. You wouldn't put a discrete resistor chain on your PCB.
Bus bar current measurement is quite a common thing to do, this means that there would be dedicated industrial current clamp devices off the shelf. DC measurement is less common than AC (simple current transformer), so would involve a Hall-effect sensor type. The main requirements are bus bar aperture, maximum current and insulation rating. You'd inevitably get some leakage current through the clamp's insulation too, that would need to be directed to ground.
It's really a matter of scale. A very low current 1kV supply isn't particularly dangerous. Measuring 300A at low voltage is more dangerous as it can cause thing to get hot and burn you. Put the two together (and add whatever the prospective fault current might be) and you get no second chances, horrific burns, explosions etc. Everything has to be 'industrial' (and expensive) in it's construction and ruggedness.
You would almost certainly still need galvanic isolation on the micro's data output too. 300A flowing through the load to ground could well cause the measurement ground to be at at a different potential to whatever you are communicating with - you definitely wouldn't want to create a ground loop through your test gear.