The Short Answer
MIL-STD-1275 specifies the 28 V DC power environment inside a military ground vehicle. Vehicle power is far from clean: engine cranking, alternator behaviour and switching loads produce surges, spikes and ripple well beyond a steady 28 V. The standard defines those disturbances so equipment can be designed to ride through them.
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Starting disturbance The voltage dip as the engine cranks.
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Surge Sustained over-voltage above nominal.
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Spike Brief, high-amplitude transients.
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Ripple Continuous AC content on the DC supply.
Why It Matters
An in-vehicle computer specified for a military platform needs a power input that meets, or is protected to, MIL-STD-1275, otherwise transients on the vehicle supply can reset or damage it. It is the ground-vehicle counterpart to MIL-STD-704 for aircraft.
See our overview of U.S. military standards (MIL-STDs) for how this fits alongside the others.