Materials handling and other vehicles with functional responses to runtime calculation

A removable battery assembly comprising a battery cell storing electrical energy, a visual display on the battery assembly, and a battery management system that is programmed to:

• input or generate a state of charge signal representing a state of charge (SOC) of the battery assembly;
• implement a first Exponentially Weighted Moving Average (EWMA) signal filter F1 to calculate a succession (0IC, 1IC, 2IC, . . . ) of contemporary current calculations IC wherein the contemporary current calculations advance by a time interval t1 and comprise
• I
• C
• =
• [
• (
• A
• ×
• β
• 1
• )
• ]
• +
• [
• B
• ×
• (
• 1
• -
• β
• 1
• )
• ]
• and wherein A comprises an average current load on the battery over the time interval t1, B comprises a predetermined current load or a historic EWMA current calculation that precedes the average current load of A, temporally, and β1 comprises a first weighting parameter;
• implement a second EWMA signal filter F2 to calculate a runtime current IR, wherein the runtime current calculation comprises
• I
• R
• =
• [
• (
• C
• ×
• β
• 2
• )
• ]
• +
• [
• D
• ×
• (
• 1
• -
• β
• 2
• )
• ]
• and where C comprises an average, over a time envelope tE, of a plurality of the succession (0IC, 1IC, 2IC, . . . ) of contemporary current calculations IC from the first EWMA signal filter F1, D comprises a historic EWMA current calculation that precedes temporally at least one of the plurality of the succession (0IC, 1IC, 2IC, . . . ) of contemporary current calculations IC from the first EWMA signal filter F1, and β2 comprises a second weighting parameter;
• and
• implement a remaining runtime calculation R comprising
• R
• =
• SOC
• /
• I
• R
• wherein the visual display on the battery assembly is configured to automatically change as a function of the runtime calculation R.