From the voltages and frequencies quoted, I'm guessing this might be a UK application. Voltage classifications are a little different over here: 11kV is a standard distribution voltage, and switchgear and cable rated for 11kV duty is commonplace. What is definitely not standard is 11kV gear rated for the output of a 140MVA generator, so there's no real advantage gained by using 11kV over 15kV in this respect. The manufacturers might arguably save a few pounds by using standard 11kV ancillaries like VTs, but not so you would notice.
It would help if the OP would disclose whether the generator is intended to be embedded in the 11kV network - I haven't heard of an embedded set this big in the UK, but what do I know? - or whether it will have a close-coupled GSU transformer and switchgear only on the HV side. If this is the case then it is probably down to economics. The IPB will probably be larger and more expensive for an 11kV system. A GSU transformer of this size will be a custom or semi-custom design so it is unlikely to be vastly different in cost.
One thing to consider is that some 15.5kV machines of British origin are, allegedly, an adapted 11kV design. We have a number of machines which our generator consultant believes fall in this category. He's forgotten more about generators than I know, so I take his opinion seriously. Many of the clearances are reduced to the bare minimum leading to problems with insulation deterioration due to discharge activity. If you are buying a 15kV machine, be sure that is what it really is, and not an 11kV design with go-faster stripes.
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One day my ship will come in.
But with my luck, I'll be at the airport!