What about a low peak fuse?
You say breaker will not coordinate with a motor, but I know of cases where the short circuit and ground fault protection was at 125% and motors held on that circuit. Are you referring to overload protection of the motor?
Is inrush also a function of source impedance?
What about 15-20X breakers?
A fuse will coordinate just fine for short circuit protection. OP stated ground fault and short circuit, and fuses don’t do ground fault. Using a low peak fuse helps a lot. As far as short circuit protection a low peak fuse is almost the perfect device for motor protection when used in conjunction with overload relays, especially “smart” ones.
Inrush is a function of phase angle. The values I stated assume that there is no transformer/feeder impedance limitation. It is solely based on motor magnetization current. It is almost purely reactive. So it is 90 degrees offset from voltage. So if the contactor closes at peak voltage you get almost no magnetization current. If it closes at the zero crossing, current is at a maximum. That’s one phase and you have to consider all 3 to arrive at worst case. Then based on your trip point gives us what phase angles are a problem...lower trips mean a greater percentage of starts will nuisance trip. Many more plants just reset without a second thought which is clearly an OSHA violation.
You can use electronic trip breakers but you need to use one with an adjustable instantaneous delay set for 1 cycle or be careful on motor selection to avoid anything high efficiency or “world market”. They exist but since there is no standard for this it’s specific to some manufacturers and models. At this point in time you are better off avoiding the motor selection method unless you are using a motor that is faster to rebuild than to purchase (made to order). Or switch to fuses where there are no issues. At worst the fuse temporarily current limits. Or bypass the issue and install a soft start. I work for a motor shop. I would be happy to sell you a motor that won’t trip your breaker if I could but at this point it will have to be sourced from the rebuild market.
15-20x breakers fix the instantaneous problem but then we run into LRC. If starting time is fast enough (small motors with low Wk2 can start and avoid tripping. The maximum allowed starting time by NEMA standards is 10 seconds without using specially modified motors or wound rotors. Typical using NEMA’s preferred torque criteria is 2-4 seconds assuming across the line starting but if you compare that to a breaker inverse time curve it will hit the “knee” in the curve.
If you look in this book they have some great illustrations showing the problems with standard breakers and motor protection. I don’t subscribe to all they claim (very fuse forward reference) but most of it is accurate, if not sometimes half truths.
Based upon the 2017 NEC, this 300 plus page handbook shows how to properly select and apply overcurrent protective devices.
www.cooperindustries.com