First, over 100 Years of history.
Second, it's hard to store AC.
Third, the AC frequency varies as the engine speed. A varying frequency is problematic for many AC devices.
Alternators have many advantages over generators in automotive applications, but automotive alternators had to wait until the development of small, dependable and relatively cheap semi-conductor rectifiers before being applied to automotive use.
AC in vehicles is not a new or unused idea. 400 Hz AC has been used in aircraft for well over 50 years, probably over 70 years. However the economics of aircraft are much different than the economics of automobiles. The importance of saving weight in aircraft design is vastly more important than weight saving in automotive design.
With increasing emphasis on fuel economy, weight saving is gaining in importance in automotive design. If the economic importance of weight saving continues to increase, a point may be reached when the proven technology of mobile 400 Hz AC power may become an automotive solution.
A note; When 400 Hz aircraft systems were introduced, cheap, small and dependable rectifiers had yet to be developed. A DC generator was much heavier than a 400 Hz alternator of the same capacity. (As a general rule, higher frequency means less weight.)
We may still need stored energy for engine starting.
Bill
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"Why not the best?"
Jimmy Carter