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4hv.org :: Forums :: General Science and Electronics
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simple current sense circuit

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kell
Tue Feb 17 2009, 08:17PM Print
kell Registered Member #142 Joined: Sat Feb 11 2006, 01:19PM
Location:
Posts: 102
I found the following circuit fascinating and became involved in a kind of obsessive attempt to analyze it..
Go to
Link2
and click on S.E.D./Schematics and CurrentSense.pdf

I assigned myself the task of coming up with analytical expressions for the voltages at the transitions.

First, I considered that with logicout high and load current falling, just when the circuit is
about to trip R3 and R4 see equal voltage and R5 has no current.
So I redrew the circuit without R5 and wrote this expression for the voltage across R1:
[(3.3-Vbe)(R2/(R2+R3))] + [(R3/(R2+R3)) .026 ln (R3/R4)]
The term on the left expresses the voltage across R2.
The term on the right accounts for the voltage offset across Q1 and Q2, which have collector currents in the ratio of R3/R4.
Now, using Vbe=.6 gives sense voltage .14 volts, load current .00154 amps, which agrees with the graph on the second page. So far so good.

In the other case, with logicout low and rising load current, I wrote
(3.3-Vbe)(R2/(R2+R3||(R4+R5)))
to express the sense voltage. But using Vbe=.6, it doesn't agree with the graph.
I have to use a Vbe of about one volt to agree with Jim Thompson's graph.
And he's a heavyweight, so I'm wondering if there's something wrong with my understanding of the rising transition.
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3l3ctrici7y
Tue Feb 17 2009, 10:17PM
3l3ctrici7y Registered Member #1806 Joined: Sun Nov 09 2008, 04:58AM
Location: USA
Posts: 136
Direct link to pdf in question...
Link2
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kell
Sat Feb 21 2009, 09:59PM
kell Registered Member #142 Joined: Sat Feb 11 2006, 01:19PM
Location:
Posts: 102
I got this reply from Andrew Holme on sci.electronics.basics that solves it:

> There's a point just before it trips where Vbe1=Vbe2


> So Ic1 = Ic2 = Ic


> 3.3-Vbe = 2k*Ic + 100k*(Ic+I5)


> 3k3*(Ic-I5) - 27k*I5 = 100k*(Ic+I5)


> Where I5 is the (negative) current in R5


> Solving for Ic gives 97uA


> From there, it's easy to get the drop across the 91 ohm sense resistor


> This gives around 2.1mA for the trip point.



That was 2.1mA neglecting the fact that Ic2 is flowing through R1.

So it actually predicts ILOAD = 2.0mA


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