I am looking for a calculation that I can size the required kva for a transformer to start a 460 volt 3 phase 200 hp motor across the line. I do not have any more specs on the motor nameplate yet. I have tried this: KVA = E x I x 1.732 x 600% (for inrush) and came up with needing 1147 kva to start the motor across the line. I have also been told that 1 kva per hp running, and 5 kva per hp starting can be used. Any help is much appreciated.
There is no specific calculation because there are way too many variables. You can use what is called Transient Motor Starting analysis tools like SKM or ETAP, but they are very expensive (and powerful) software programs, as in $5K+.
But transformers have an ability to handle BRIEF surges, so you do not need to size it to the LRC of the motor.
I have been using some "Rules of Thumb" that I was taught years ago, based on the starting method, and based on the need to avoid more than a 5% voltage drop on the primary side of the transformer. So far they have never failed me:
For Across-the-Line starting, XFMR kVA = 3x motor HP minimum. So for example if you have a 50HP motor, a 150kVA transformer is needed. You MIGHT be able to get away with less under certain circumstances, but this rule is for gross generalizations. For example if you are starting a remote pump station from a stiff line and don't care much about the voltage drop as long as the control power doesn't drop out, you might get away with a 112.5kVA transformer, maybe even a 75kVA. the problem is, you won't know if it worked until you already installed it, and at that point you have already spent the time and money.
For Y-Delta starting, XFMR kVA = 2.5x motor HP minimum
For RVSS starting, XFMR kVA = 2-2.5X motor HP (depending on starting profile / load)
For RVAT starting, XFMR kVA = 1.5-2x motor HP
For VFD, XFMR kVA = 1-1.5x motor HP
For multiple loads, use these values for the biggest motor on TOP of the running load kVA of the total load HP running when biggest motor starts. So for example a 150HP pump on a soft starter and 3 x 10HP fans that are already running when the pump starts, you have roughly 22kVA running load, plus 150 x 2 for the RVSS = 322kVA, next closest size is 500kVA. But if you can ALWAYS start the RVSS first, you can use a 300kVA.
This is not an exact science, just based on empirical data from the field.