If you look at your service menu, you can get a more accurate BMS estimate, because there, they give you the SOC to the tenths, so less rounding error. As you can see, 156mi divide by 50.2% is 310.8miles, and the error is now +/-0.6miles. SMT shows my Full pack is 76.3kWh and my Range is also 310miles. So, they match.
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I just took this SMT reading because I came back from skiing yesterday and ran my battery down to 5%! When I left the ski resort, the projection was for 1.2%, but I knew I'd do a little better than projected! Whew! I was wondering if running it that low would affect the BMS calculation! Nope, it's the same.
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