I recall hearing that
                             |          | N
          Lifetime(V)        |  Vrated  |
       ------------------ =  | -------- |     where N = 12 or 13
        Lifetime(Vrated)     |    V     |
                             |          |

(for V = 0.8 Vrated and N = 12, liftime is 14.55 times longer).

From my notes:

If my source material is correct, lighting output varies with the
3.4'th power with voltage change around the rated operating point.
Using 12 V and 12.9 V this represents a 28% increase in lumens.
Sadly, bulb life reportedly varies similarly but with the 16'th power,
which means that the bulbs will only last 1/3 as long as with the
original wiring.

-- Jim


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