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ISL28025 Datasheet, PDF (45/47 Pages) Intersil Corporation – Precision Digital Power Monitor with Real Time Alerts
ISL28025
The length of the
trace between the
two sense lines
defines the sense
resistor value.
FIGURE 90. ILLUSTRATES A LAYOUT EXAMPLE OF A CURRENT
SENSE RESISTOR MADE FROM A PCB TRACE
Figure 90 illustrates a layout example of a current sense resistor
defined by a PCB trace. The serpentine pattern of the resistor
reduces current crowding as well as limiting the magnetic
interference caused by the current flowing through the trace.
For the example discussed, the width of the trace in Figure 90
illustration would equal 2.192in and the length between the
sense lines equals 1.832in.
The width of the resistor is long for some applications. A means
of shortening the trace width is to connect two traces in parallel.
For calculation ease, assume the resistive traces are routed on
the outside layers of a PCB. Using Equations 18 and 19, the
width of the trace is reduced from 2.192in to 1.096in.
When using multiple layers to create a trace resistor, use
multiple vias to keep the trace potentials between the two
conductors the same. Vias are highly resistive compared to a
copper trace. Multiple vias should be employed to lower the
voltage drop due to current flowing through resistive vias.
Figure 91 illustrates a layout technique for a multiple layered
trace sense resistor.
TOP
VIA
TRACE
PCB
BOTTOM
TRACE
VIA
(A) CROSS SECTION VIEW
VIA
TRACE
PCB
(B) TOP VIEW
FIGURE 91. ILLUSTRATES A LAYOUT EXAMPLE OF A MULTIPLE
LAYER TRACE RESISTOR
Lossless Current Sensing (DCR)
A DCR sense circuit is an alternative to a sense resistor. The DCR
circuit utilizes the parasitic resistance of an inductor to measure
the current to the load. A DCR circuit remotely measures the
current through an inductor. The lack of components in series
with the regulator to the load makes the circuit lossless.
BUCK
REGULATOR
PHASE
FB
DCR CIRCUIT
RSEN
VINP
CSEN RSEN + RDCR
LO RDCR
VINM
ADC
16-BIT
FIGURE 92. SIMPLIFIED CIRCUIT EXAMPLE OF A DCR
A properly matched DCR circuit has an equivalent circuit seen by
the ADC equals to Rdcr in Figure 92. Before deriving the transfer
function between the inductor current and voltage seen by the
ISL28025, let’s review the definition of an inductor and capacitor
in the Laplacian domain.
Xc(f)
1
j(f)C
XL(f) j(f)L
(EQ. 20)
Xc is the impedance of a capacitor related to the frequency and
XL is the impedance of an inductor related to frequency. ω equals
to 2f. f is the chop frequency dictated by the regulator. Using
Ohms law, the voltage across the DCR circuit in terms of the
current flowing through the inductor is define in Equation 21.
  V dcr(f) R dcr  j(f)L i L
(EQ. 21)
In Equation 21, Rdcr is the parasitic resistance of the inductor.
The voltage drop across the inductor (Lo) and the resistor (Rdcr)
circuit is the same as the voltage drop across the resistor (Rsen)
and the capacitor (Csen) circuit. Equation 22 defines the voltage
across the capacitor (Vcsen) in terms of the inductor current (IL).
Vc(f)
  j(f)L  Rdcr
1  j(f)CsenRsen
R

dcr1
1 

j(f)L 
R dcr




 j(f)CsenRsen
i
L
(EQ. 22)
The relationship between the inductor load current (IL) and the
voltage across capacitor simplifies if the following component
selection holds true;
L
R dcr
C senR sen
(EQ. 23)
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FN8388.3
June 17, 2015