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Generally, there is no minimum required input voltage for a tungsten-halogen lamp. However, as the input voltage decreases, so does the lamp efficacy, color temperature, power consumption, and light output (although the lamp life does increase, to a point).
If the lamp is too under-powered, the bulb wall temperature will be too low to support the tungsten-halogen cycle. This means that vaporized tungsten will be deposited onto the inner surface of the bulb wall (rather than back onto the filament), causing black spots which will lead to decreased lamp life.
As the input voltage increases more than 100% of the rated input voltage, the color temperature, power consumption, and light output will increase, although the lamp life drops quickly.
If the lamp is over-powered by more than approximately 10%, the lamp's life drops to near zero.
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