I consider balance chamber pressure (or balance line DP or balance line flow) to be important for both large pumps and centrifugal compressor; but for different reasons. With the pumps, a failure of the balance piston could result in a catastrophic thrust bearing failure of the most destructive sort. Because of the high differential pressure in a pump, a thrust bearing failure can result in a complete seal failure with a high potential for fire.
In a compressor, the differential pressures are probably lower and the risk of catastrophic thrust failure is lower. It is also likely that the compressor has thrust position monitoring which should be armed to trip to protect against this failure. So, the value in a compressor may be different. The flow across the balance piston is an indication of the clearance of the piston which is an indication of the condition of all of the internal clearances within the machine. Knowing the balance line flow allows for better troubleshooting and performance evaluation. It can help drive repair strategies and overhaul frequencies. If you only have a turnaround window every 6 years, you need as much information as possible to determine if you need to overhaul the compressor or if you can expect it to run for 6 more years. Balance line flow is another piece of information to help with that decision.
One of the last compressors that I overhauled had severe damage to the balance piston. We did not have appropriate monitoring for balance line flow so we did not know that this problem existed. In order to properly plan the overhaul and to justify the cost to overhaul a machine that the operators thought was running fine, it would have been nice to have data to show that the balance piston had failed. I would rather have too much information rather than not enough.
Johnny Pellin