If you have VSD, I feel that the 2 pump vs 1 pump question becomes largely a matter of deciding if you need standby capacity, in case one pump requires maintenance, or not. If you think about it, you can easily verify that logic.
1 VSD pump can do any flowrate 0-100% at presumed best efficiency.
2 VSD pumps can do any flowrate 0-100% at presumed best efficiency. That's equal.
The disadvantages for 2 pumps (for smaller pump sizes) is that approximately 2 X space is required, 2 X the wire is required, 2 X the local pump piping, fittings and valves are required, 2 X the probability of all those connections failing, etc. The only real advantage you have is the ability to run 1 pump, if the other is down for maintenance.
With all those disadvantages, my opinion is, if you don't NEED 2 pumps for some specific reason, you should only have one. I gave you a lot of reasons NOT to use two; how many reasons can you list showing that you MUST have two or more pumps? Unless you have two truck, ship, aircraft fueling or product loading points, where one pump must still fill one airplane, even if the other is broken, or a similar situation, a whole lot of reasons are usually hard to come up with.
OK, so now the size question. Should they be the same size or different size. The only question remaining to ask there is, "If one pump breaks", what capacity MUST I provide
to the system to keep it running? Will 50% flow be useful to the system? If in the worst case, the answer is yes you can run at 50%, then 2 X 50% could work. If you have sized the 2 pumps at 75% and 25% and the 75% pump breaks down, will 25% capacity in the worst case do you any good? If that's a yes, you have another option. So that works out to sizing one pump for the minimum flow you
must provide to run the system and the other can be any size from 100% - first pump capacity ... to infinity.
To run both pumps simultaneously, and the pumps have different capacities, you should be especially careful to match the heads produced by both pumps as closely as possible to their respective % rated flows, if both pumps will be run from the same VFD controller (get the same rpm signal) to share load equally. If each has a separate controller, you must use discharge pressure feedback so that each pump runs at the appropriate rpm to deliver equal discharge pressures into the same header.
Where there is no VSD being consider, multiple pumps can add efficiency to the pumping operations, as selecting the best efficiency combination from an infinite number of pumps would in effect approch being able to pump any flowrate at a very good net BEP of the pumps selected for duty. In effect the same thing you have with 1 pump on VSD.
Fixed speed pumps require more pumps to efficiently cover a required flowrate range.
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"Pumping accounts for 20% of the world’s energy used by electric motors and 25-50% of the total electrical energy usage in certain industrial facilities."-DOE statistic (Note: Make that
99% for pipeline companies)