The analysis of each current-sensing point is done
at a system level by considering four parameters: bandwidth, latency, gain error,
and offset. Figure 1-2 shows an equivalent model of the current sensing by showing all
the mentioned parameters of the sensor.
Figure 1-2 Current Sensing Measurement Model
A description of each
single stage of the equivalent model follows:
Represents the bandwidth limitation presented by
the current sensor. In this note, the sensing stage has been modeled as a
first-order low-pass filter, where the constant time can be described as
follows:
.
where
τ is the bandwidth of the
current sensor
Represents the gain error and is modeled as
follows:
where
ir is the real
current
ε is the gain error of
the sensor
im is the
measurement
Represents the offset which in this study was
defined with respect to the measurement range. The offset is represented as a
percentage of the full-scale range.
Represents the time delay introduced by sensing
stage, which becomes critical when overcurrents and short-circuits need to be
detected as fast as possible.