Coolbug,
The presentation by Stanier is an excellent summary of the whys and wherefalls of VFD design, especially slide 12, which summarises your issues very well. Also take account of Artisi's strapline - without proper data you cannot undertake this task properly.
VFDs are excellent bits of equipment and can save considerable amounts of money in the right location and usage, but cost more and have higher running costs in the wrong location.
VFDs are good for pumps which run at different flows and head duties for considerable periods, e.g. 10% @ full flow, 30% @ 75%, 40% at 60% and 20% at 50%. If you have this sort of data history for a "typical" day, week, month, then you can do some calculations.
Another key aspect where you might install VFDs is where you have issues over starting current. Although there are other ways of oing it, VFds provide a much smoother start current, avoiding the 5 - 8 times Full load cuurrent you get with a DOL starter.
One aspect to obtain from the manaufacturuer of the VFD is his system losses at different powers so that you can add those to the running current of the motor at the reduced speed.
with rated current and running current you can establish the maximum power of the motor and its normal running power. However without knowing the system and pump curve,it is not possible to establish what power saving could apply. Alternatively you could request the pump discharge pressure, flow rate, density of fluid and then pressure downstream of whatever is currently throttling your pump (probably some sort of control valve). Then you can work out the energy being "lost" which has been generated by the pump unneccasarily.
If you need an analogy to present to whoever has asked you to do this without giving you access to the data by the sound of it, then you could use something like - A car is towing a trailer up a hill of steady incline. What you are being asked to do is work out what the fuel consumtion would be without the trailer, but you are not being told the size and weight of the trailer. Therefore not possible to compute.
If you ever get the info, there are alternatives as ably stated by Stanier - such as reduced impellor diamter, control valves or a gearbox / fluid drive. In some cases such as high static head loads, VFDs are not suitable.
So in summary - No data - No calculation
My motto: Learn something new every day
Also: There's usually a good reason why everyone does it that way