I have a set of pumps that sound similar to yours. We have two events with this set of pump when one was not pumping well in parallel. We have three vertical turbine pumps pumping off the hot well of a surface condenser. The pumps are four stage vertical turbine pumps in cans. We cannot measure the flow from each pump or the total flow. The suction and discharge are set up as symmetrical manifolds. The combined flow from all pumps is controlled with a control valve to hold constant level in the hot well. Even though we cannot measure flow, we know the rate of steam flow coming into the condenser. So, with a little math, we can calculate the total flow of water off the bottom.
The first time we had a problem getting balanced flow from the pumps was right after an overhaul. We ended up finding a leak between the pump and the can. Since it is under vacuum, it was leaking air into the pump suction at a rate sufficient to keep that pump from pumping.
The second time we had a problem was shortly after a turnaround on the condenser. We ended up finding a piece of gasket that the pipe fitters had dropped into the condenser lodged in the pump suction line.
The main difference between our pumps and yours is the size. Ours are only rated for about 200 gpm each at much lower head. We only pump the water to a DA and have another set of pumps that pump it back to the boiler. Your pumps must pump all the way to the boiler.
Rather than focusing on the piping configuration, I would suggest that you first rule out all of the usual suspects. Verify that all pumps are identical in terms of number of stages, impeller diameters and shaft rotation. If your system is under vacuum, check for air leaks. Depending on the configuration of your pumps, even a leaky mechanical seal can be a source of air. If you can, calculate the total flow based on steam load and verify that the flow is adequate to satisfy the minimum flow requirements of three pumps running.
I believe that minimum flow is your problem. If two pumps in any combination pump well, then most of the things I just suggested can’t be the problem. But if the total flow is too low for three pumps to run above minimum flow, then it matches your description. With three pumps in parallel and no measurement of flow, all three could be running below minimum. The two weaker pumps are driven back to shut-off where they gas pump and loose flow completely. The single pump that is still pumping takes the full load and runs out to high amps.
Why do you need three pumps running? If the head required to get into the DA is too high for two pumps, can you try dropping the DA pressure? If your pumps are vertical turbine configuration, you may need to add stages to get the extra head with only two pumps running.
Johnny Pellin