According to (7), it is clear that the processing time of one step, αTi, is a function of sumαt. In another word, by setting sumαt, the operation of the equalizer can be decided as unidirectional charging, unidirectional discharging, and bi-directional implementation, while the total operation time can be minimized. In addition, with an optimal value of sumαt, the processing time is minimized the total processing time of the operation. By applying the proposed method for 20 series-connected battery cells (which have similar initial conditions to the setup in Section 3), the relationship between sumαt and Ttotal is shown in Fig. 4. The curve shows that the value of sumαt is higher the Ttotal is higher too and the cell-equalizer is implemented in the pack-to-cell mode. In contrast, if the value of sumαt goes to negative infinitive, Ttotal goes to infinitive and the cell-equalizer is implemented in the cell-to-pack mode. For any SOC initial scenarios, the sumαt versus Ttotal curve is a parabola function. Obviously, there is always existing a value of sumαt that makes the total processing-time becomes minimum. In the test in Section 3, the SOC initial is randomly set from 30% to 60% and the sumαt is 0. 3 based on the parabola function curve.
According to (7), it is
clear
that the processing
time
of one step,
αTi
, is a function of
sumαt
. In another word, by setting
sumαt
, the operation of the equalizer can
be decided
as unidirectional charging, unidirectional discharging, and bi-directional implementation, while the total operation
time
can
be minimized
.
In addition
, with an optimal
value
of
sumαt
, the processing
time
is minimized
the total processing
time
of the operation. By applying the proposed method for 20 series-connected battery cells (which have similar initial conditions to the setup in Section 3), the relationship between
sumαt
and
Ttotal
is shown
in Fig. 4. The curve
shows
that the
value
of
sumαt
is higher the
Ttotal
is higher too and the cell-equalizer
is implemented
in the pack-to-cell mode.
In contrast
, if the
value
of
sumαt
goes to
negative
infinitive,
Ttotal
goes to infinitive and the cell-equalizer
is implemented
in the cell-to-pack mode. For any SOC initial scenarios, the
sumαt
versus
Ttotal
curve is a parabola function.
Obviously
, there is always existing a
value
of
sumαt
that
makes
the total processing-time becomes minimum. In the
test
in Section 3, the SOC initial is
randomly
set from 30% to 60% and the
sumαt
is 0. 3 based on the parabola function curve.