how to select the automotive wire size by mathematical calculation. for xenon

how to select the automotive wire size by mathematical
calculation. for xenon headlamp with ballast. the ballast
given data voltage 10-17v,current permenant 6amp, run up
phase is 15amp, peak at swicth on max 400micro sec is
40amp.the sum of cable resistance is 150mohm.please provide
referenc document if any for relating the peak at switch on
current,time & wire wire size

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