ScottyUK:
I believe the efficiency being referred to by AllorNothing was intended to describe the overall system efficiency in using the available power, not the ballasts themselves.
While it is quite true, as noted by Keith (itsmoked) that:
"Power = Volts x Amps
You can screw with the V and the A all you want as long as the P stays the same."
keep in mind that Keith was speaking of the ballast which has relatively low internal resistance. When dealing with the overall lighting system, efficiency is greatly affected by power lost in the transmission of the total power throughout the wiring of the system.
For example, let's say the lighting system has a Total Power of 1,000 Watts delivered into it at the source. That Total Power could be any combination of Volts x Amps that equals 1,000 Watts, just as Keith stated. 100 Volts at 10 Amps would provide the same total power as 50 Volts at 20 Amps at the input to the lighting system.
What proportion of the Total Power will be actually used for the intended purpose (providing light) in the lighting system is 1,000 Watts MINUS the power lost in the transmission lines. Since the power wasted in losses is equal to the Amperage squared times the Ohms (resistance) of the transmission lines (the wires), reducing the Amperage component reduces the lost (wasted) power expotentially (the Amperage squared term). In other words, because Total Power = Volts x Amps, BUT the Wasted Power = Amps (squared) x Resistance, the proportion of the Total Power that gets lost as Wasted Power decreases expotentially as the Voltage component increases and the Amperage component decreases.
So the higher voltages quoted by AllorNothing in their post result in lower amperages, further resulting in less Wasted Power in transmitting the Total Power thoroughout the lighting system. As you previously stated, this assumes the wire size (or more accurately, the system Resistance component) stays the same. Changing wire size can affect overall system efficiency as well by changing the Resistance component.
Best regards,
debodine