The balance line on a centrifugal compressor serves two purposes. First, it balances both seal chambers to the same pressure, which should be very close to inlet pressure for the compressor. Second, it allows for the use of a balance piston, balance disk or balance drum to balance out the thrust loads on the rotor. For the sake of the dry gas seals, it is most important that both seals operate at the same pressure. Since there can be a small pressure drop across the balance line, the seal system would be controlled to hold a differential pressure across the seal on the upstream side of the balance line which could be at slightly higher pressure than the other seal.
Johnny Pellin