Author Topic: How Current Limitation is happening in the circuit???  (Read 13662 times)

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Offline ommsivaTopic starter

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How Current Limitation is happening in the circuit???
« on: January 08, 2024, 04:08:42 pm »
Hi all,

I went through this circuit in net , two current sense resistor(0.47 ohm) which is equivalent to 0.235ohm and current adjustable resistor 500 ohm were present in parallel is connected between current sense and current limit pin. As per the circuit , current can be varied between 0-10 amps.

Can anyone explain how current limiting is working with the specified range???

When the circuit would fail???

I have attached source website:https://electronics-diy.com/30v-10a-variable-bench-power-supply.php
 

Offline coromonadalix

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Re: How Current Limitation is happening in the circuit???
« Reply #1 on: January 08, 2024, 05:23:51 pm »
current sensing is done thru r5 r6

the lm 723 calculations   is done thru their values  to get an 0.6v  drop,  once 0.6v drop is there   thru the r11 trimmer / pot,   you will  get a min or max current value 

and the maximum should be around 14 amps

2x 0.47ohms divided by 2,  multiplied by 0.6 = should be the maximum current limitter has

R1 R2 R3 R4  are emitter balancing resistors,   you can have them on emitter or a different value on their base, and have all emitters common

this is a basic circuit, and the lm723  wont go down to zero volts  by internal design,  you'll get around 1.2 volts at the output

what do you mean by fail ?       if the pass transistor fail ??
« Last Edit: January 08, 2024, 05:33:30 pm by coromonadalix »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #2 on: January 08, 2024, 08:13:08 pm »
Hi all,

I went through this circuit in net , two current sense resistor(0.47 ohm) which is equivalent to 0.235ohm and current adjustable resistor 500 ohm were present in parallel is connected between current sense and current limit pin. As per the circuit , current can be varied between 0-10 amps.

Can anyone explain how current limiting is working with the specified range???

When the circuit would fail???

I have attached source website:https://electronics-diy.com/30v-10a-variable-bench-power-supply.php

Hi,

The 723 uses the base emitter junction of a transistor to provide for some rough current limit setting.
As the voltage across pins 2 and 3 gets close to around 0.65 volts the internal transistor starts to turn on and shunt current away from the output and thus reduces the drive to the parallel power transistors, and that reduces the output current.

There are two things that cause this action.  One is the two 0.47 Ohm resistors in parallel, which means the total resistance is roughly 0.25 Ohms.  To get to the 0.65 volts would then require 2.6 amps which would limit the current to around 2.6 amps.
However, there is also that 500 Ohm pot.  That reduces the voltage getting to the base emitter of the transistor, so if you have the pot set to about 1/4 of its travel, that will mean it takes 4 times as much current to reach that 0.65 volts base emitter voltage.  That's about 10.4 amps.
These are approximate values the max output current with that adjustment should be a bit higher like around 11 amps, but you can change that by turning the 500 Ohm pot while measuring the output current.  The current limit point will change with temperature though so you have to take that into account.  If that is not acceptable then you have to modify the design a little.

Using the base emitter junction of a transistor to limit current was an old school method of limiting current.  It can still be used though when you do not need a precise current limit setting and can tolerate some change when the temperature of the chip starts to change.  This method was often used to protect the equipment from damage not to limit the current to a perfect level.


« Last Edit: January 08, 2024, 08:16:56 pm by MrAl »
 
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Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #3 on: January 09, 2024, 12:43:28 am »
 one fourth of 500 ohm pot means 125 ohm and current limiting at 2.6 amps.

How we arrived at 10.4 amps?
 

Offline Electro Fan

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Re: How Current Limitation is happening in the circuit???
« Reply #4 on: January 09, 2024, 08:25:36 am »
looks interesting:

https://electronicprojectsforfun.wordpress.com/power-supplies/a-collection-of-proper-design-practices-using-the-lm723-ic-regulator/

some comments indicate the LM723 is legendary but maybe not optimum for a bench power supply
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #5 on: January 09, 2024, 09:15:35 am »
one fourth of 500 ohm pot means 125 ohm and current limiting at 2.6 amps.

How we arrived at 10.4 amps?

Using the voltage divider formula.
The resistance at 1/4 of travel for a 500 Ohm pot is 125 Ohms, and that divides the voltage by 125/500 which equals 1/4.
That means when the voltage across the two parallel 0.47 Ohm resistors reaches 2.6 volts, the voltage at the transistor base emitter reaches 0.65 volts which is the point where it starts to cut the output current.  It takes 10.4 amps to reach 2.6 volts across those two resistors, hence the output is limited to roughly 10 amps.

This is a rather old trick also.

There is a drawback to this though.  With 2.6 volts across the two 0.47 Ohm resistors the total power is about 26 watts, which means EACH resistor has to be rated for about 26 watts or better.  The actual power in each is about 13 watts, but if the resistors are rated for 13 watts they would get super-hot.  With each rated at 25 watts for example, they will stay cooler.  They still will get hot though so there has to be free air flow to keep them cooler.  Note the values shown on the schematic are only 5 watts each, which cannot be correct.  They would get red hot and burn up.
This is yet another reason why higher power power supplies started using a switching control method.  That keeps these side issues of power waste down to lower levels, which is also now a modern goal.  The 723 regulator was used back as far as the 1970's and a lot has changed since then.  They were used in some very, very expensive equipment though back then.

There should be a resistor in series with the pot however, to keep the user from adjusting the output current to extremely high levels like 20 amps or even more.  At 1/8 the travel the output can reach around 20 amps, at 1/16 the travel it can go as high as 40 amps, either of these would probably blow something out and/or burn up those two 0.47 Ohm resistors.

BTW if you can order from Amazon, they sell 10 Amp switching power supplies for around $60 USD now.


« Last Edit: January 09, 2024, 09:21:06 am by MrAl »
 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #6 on: January 09, 2024, 03:57:19 pm »
Thank You sir.


Under a load condition of 10 Amps, There is a possiblitiy that series pass transistor may go to breakdown. But under what condition by LM723 can go to breakdown condition?
 

Offline coromonadalix

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Re: How Current Limitation is happening in the circuit???
« Reply #7 on: January 09, 2024, 05:03:51 pm »
like this  not sur if it would fail,  you have a pre-driver transistor   and the voltage pot is not directly on the output as some other uses the lm723 can get or be used

and  you would need some power diodes on the output and one  on emitter collector of the power transistors

and   you get over 37vdc on pin 11 and 12 of the lm723, way pass its input limit ...
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #8 on: January 09, 2024, 07:09:11 pm »
Thank You sir.


Under a load condition of 10 Amps, There is a possiblitiy that series pass transistor may go to breakdown. But under what condition by LM723 can go to breakdown condition?

Well for one you have to make sure the series pass transistors are made to handle the full current each one will have to pass.  You also have to make damn sure that the heatsink can handle the extreme power they will be dissipating as heat. If they get too hot they burn out.
With an input power of say 30 volts and output set to 10 volts at 10 amps, the transistors and heatsinks will have to handle 20 volts at 10 amps, which is 200 watts.  That's a hell of a lot of power to dissipate and it's a waste of energy too.  If you have 4 transistors then each one will have to handle 50 watts, and if you have 5 transistors then each one will have to handle 40 watts, still a lot of power.  If you have 10 transistors then each one has to handle just 20 watts, a lot better, but together they still dissipate 200 watts.
In cases like this where the power is very high, it is usual to use a switching power supply, or a linear like this one with an added switching front end that follows the output.  That way the power dissipation is much lower for any output voltage.  The switching front end limits the voltage to the linear back end, so the linear does not have to dissipate too much power.

You may want to rethink all this.  The example above was for a 10 volt output at 10 amps, but for a 5 volt output at 10 amps it's even worse.

To find out the possible failure conditions for the 723, you really have to look at the data sheet.  For one, the input voltage will be limited.
« Last Edit: January 09, 2024, 07:13:10 pm by MrAl »
 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #9 on: January 10, 2024, 01:08:50 am »
Thank you sir.



1)Which switching regulator will be suitable for 10amps current?

2) why we need to feed the output  of switching regulator to linear regulator? Previous reply says to decrease power dissipation.  What are the other advantages of linear regulator system?
« Last Edit: January 10, 2024, 04:27:08 am by ommsiva »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #10 on: January 10, 2024, 11:41:54 am »
Thank you sir.



1)Which switching regulator will be suitable for 10amps current?

2a) why we need to feed the output  of switching regulator to linear regulator? Previous reply says to decrease power dissipation.
2b)  What are the other advantages of linear regulator system?

[1]
Do you want a ready made product or an IC chip of some kind to build a power supply yourself?

[2a]
The linear regulator dissipates too much heat when the output voltage is set to a mid or low value with high current.  The cause is because the input voltage is always high so you can get the higher output voltage when you need it.  By using a switching regulator front end, the output voltage of the switcher can be set close to the output voltage of the linear, and that reduces the power dissipation in the linear by a huge factor.

[2b]
A linear regulator has a smoother output with less noise.  This is why they are still used today, but in the higher power power supplies there is usually a switcher ahead of the linear which automatically adjusts it's output close to the output of the linear.  That keeps power dissipation way down.

Power dissipation is a big problem with linear regulators that have to put out a lot of current at various voltages.  However, when the input voltage is close to the output voltage, the power dissipation goes down a lot.  A switcher is more efficient in that there is less power wasted, but sometimes we still want a linear output.  By combining the switcher with the linear, we get the best of both technologies.
 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #11 on: January 10, 2024, 03:59:38 pm »
Do you want a ready made product or an IC chip of some kind to build a power supply yourself?
                  Yes Sir , It shall be IC which could do both CC CV

« Last Edit: January 11, 2024, 04:55:27 pm by ommsiva »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #12 on: January 12, 2024, 06:35:25 am »
Do you want a ready made product or an IC chip of some kind to build a power supply yourself?
                  Yes Sir , It shall be IC which could do both CC CV

Hi,

You can look up the LM3524D switching regulator controller to get some idea what is involved.  This is an older chip and easier to understand.
When you take a look at the data sheet you will immediately see what you are dealing with even if you do not have a particular design ready yet.  This chip was used in a lot of equipment even computer power supplies and has been around at least as far back as the 1980's.

For more modern controller chips, look on the TI website they have a ton of switching controllers.  You may find something you like better.  They are categorized into groups like buck, boost, then subdivided for various uses such as external or internal switch.

Output current for the chips with external an switch is usually not limited because they use an external transistor switch (one or more).  That means you could design a controller that puts out 100 amps if you like.

The ones that have the internal switch are usually not as efficient and they are limited on how much current you can get out of them.  You probably want to go with a controller chip that uses an external transistor switch.  You can really make a nice switcher like that.
 
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Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #13 on: January 16, 2024, 12:04:37 pm »
I had a good introduction from below video



Can any one suggest an circuit with SG3524 with CC CV ..

Thank you.
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #14 on: January 17, 2024, 12:26:55 am »
I had a good introduction from below video



Can any one suggest an circuit with SG3524 with CC CV ..

Thank you.

Hi,

Did you look for app notes or reference designs on the data sheet?
They usually have these somewhere direct from the manufacturer.
You have to read all the specs though too so you know what the limitations are.

Also, from what I have read the "D" suffix version is better than the no suffix version of the chip.  So 3524D not just 3524.
 

Offline coromonadalix

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Re: How Current Limitation is happening in the circuit???
« Reply #15 on: January 17, 2024, 02:20:16 am »
Do you want a ready made product or an IC chip of some kind to build a power supply yourself?
                  Yes Sir , It shall be IC which could do both CC CV

Hi,

You can look up the LM3524D switching regulator controller to get some idea what is involved.  This is an older chip and easier to understand.
When you take a look at the data sheet you will immediately see what you are dealing with even if you do not have a particular design ready yet.  This chip was used in a lot of equipment even computer power supplies and has been around at least as far back as the 1980's.

For more modern controller chips, look on the TI website they have a ton of switching controllers.  You may find something you like better.  They are categorized into groups like buck, boost, then subdivided for various uses such as external or internal switch.

Output current for the chips with external an switch is usually not limited because they use an external transistor switch (one or more).  That means you could design a controller that puts out 100 amps if you like.

The ones that have the internal switch are usually not as efficient and they are limited on how much current you can get out of them.  You probably want to go with a controller chip that uses an external transistor switch.  You can really make a nice switcher like that.

the bests psu  have  both linear and smps, at least the Kikusui i have does

they use the smps / phase controlled at the primary stage, to get a clean power source to drive the linear section, in some psu  the smps section will give  aroud 5 volts headroom for the linear section, that way you get a very low heat dissipation

the disavantage is for sure, they are heavier than pure smps

example :  i have a full linear Kepco model "80vdc at 8 amp", weight 51 pounds, and the kikusui who as almost the identical specs wight 26 pounds  ??? and under a full load the full linear will dissipate 860 watts, and the other not even 120-150w
« Last Edit: January 17, 2024, 02:24:54 am by coromonadalix »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #16 on: January 18, 2024, 01:17:51 pm »
Do you want a ready made product or an IC chip of some kind to build a power supply yourself?
                  Yes Sir , It shall be IC which could do both CC CV

Hi,

You can look up the LM3524D switching regulator controller to get some idea what is involved.  This is an older chip and easier to understand.
When you take a look at the data sheet you will immediately see what you are dealing with even if you do not have a particular design ready yet.  This chip was used in a lot of equipment even computer power supplies and has been around at least as far back as the 1980's.

For more modern controller chips, look on the TI website they have a ton of switching controllers.  You may find something you like better.  They are categorized into groups like buck, boost, then subdivided for various uses such as external or internal switch.

Output current for the chips with external an switch is usually not limited because they use an external transistor switch (one or more).  That means you could design a controller that puts out 100 amps if you like.

The ones that have the internal switch are usually not as efficient and they are limited on how much current you can get out of them.  You probably want to go with a controller chip that uses an external transistor switch.  You can really make a nice switcher like that.

the bests psu  have  both linear and smps, at least the Kikusui i have does

they use the smps / phase controlled at the primary stage, to get a clean power source to drive the linear section, in some psu  the smps section will give  aroud 5 volts headroom for the linear section, that way you get a very low heat dissipation

the disavantage is for sure, they are heavier than pure smps

example :  i have a full linear Kepco model "80vdc at 8 amp", weight 51 pounds, and the kikusui who as almost the identical specs wight 26 pounds  ??? and under a full load the full linear will dissipate 860 watts, and the other not even 120-150w

Hi,

Well, if anyone knows about that stuff it's me, as I've worked in the power supply industry for many years designing and testing high power synthesized sine converters and other types.  From maybe 1 watt to 30000 watts.

Until recently I also had two combination switcher/linear supplies 300 watts each.
I've actually used the chip I mentioned too along with a couple other types that are similar.
You'll find several posts where I talked about switcher front end and linear back end and the benefits.
 

Offline MathWizard

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Re: How Current Limitation is happening in the circuit???
« Reply #17 on: January 19, 2024, 02:48:03 pm »
Quote
example :  i have a full linear Kepco model "80vdc at 8 amp", weight 51 pounds, and the kikusui who as almost the identical specs wight 26 pounds  ??? and under a full load the full linear will dissipate 860 watts, and the other not even 120-150w
A few things like that 51lb PSU in a room and I'd want a warehouse or something with a good foundation for mounting it all. I don;t think my desk or end-tables would do.
 

Offline coromonadalix

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Re: How Current Limitation is happening in the circuit???
« Reply #18 on: January 19, 2024, 03:44:18 pm »
 :-+
 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #19 on: January 19, 2024, 04:25:53 pm »
Hi,
Correct me if i am wrong

1)Inthis circuit R6  and P3 fixes voltage at the output and this pontential divider output is input of Non inverting input of opamp.

2) R5 senses the current.

3) My question is, How P1,P2 and R3 convert the current through R5 in to voltage and feed to opamp at inverting input of opamp?

or

How P1,P2 and R3 sense the current, convert in to voltage and give to inverting input of opamp for comparison?


4)what is the function of R4?

5) if inverting input goes high, that is current taken by the load is more than set current. Then output of opamp goes low that is -5V and R2 limits the current and LED glows.  My question is why we want D1 in the circuit?

6) the output of 7905 is -5V. it is divided by R9 and P4. How the voltage is -1.2V? But it should be 5(100/200)= 2.5V

Thank you all
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #20 on: January 20, 2024, 07:01:54 am »
Hi,
Correct me if i am wrong

1)Inthis circuit R6  and P3 fixes voltage at the output and this pontential divider output is input of Non inverting input of opamp.

2) R5 senses the current.

3) My question is, How P1,P2 and R3 convert the current through R5 in to voltage and feed to opamp at inverting input of opamp?

or

How P1,P2 and R3 sense the current, convert in to voltage and give to inverting input of opamp for comparison?


4)what is the function of R4?

5) if inverting input goes high, that is current taken by the load is more than set current. Then output of opamp goes low that is -5V and R2 limits the current and LED glows.  My question is why we want D1 in the circuit?

6) the output of 7905 is -5V. it is divided by R9 and P4. How the voltage is -1.2V? But it should be 5(100/200)= 2.5V

Thank you all

A few  things do not look right.

First, there are too many parts for what this does.  It also looks like someone hung the schematic on the wall and covered it with glue, then threw a handful of capacitors at it, and whatever stuck they kept in the circuit.

Then, the two pots P1 and  P2  are wired  in parallel.  That means they do the same function.  They are labeled in a way that says they do different functions, which does not make sense.

Diode D1 does have a function, it prevents that 620 Ohm resistor current from affecting the LM317 feedback terminal.
Also, the -1.2v line is typical for using an LM317 as that allows adjusting the voltage down to 0v rather than just +1.2 volts.
P3 may be right, it allows adjustment of the output voltage.
Would have to check if pin 7 of the 301 op amp is wired to the right place.

I would look for a simpler, better design.


 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #21 on: January 21, 2024, 10:09:53 am »
Hi

Now i am attached the circuit from Manufacturer data sheet

1) In this circuit, how current through R3 (suppose 5 amps flow then voltage across R3 will be 1V) is related to R2?

2) Resistance R6 and R8 set the output voltage, is it right?

3) non Inverting input is connected to output voltage and inverting input is going to sense what?

4)what is the function of R7?

5) if inverting input goes high, that is current taken by the load is more than set current. what will happen to output voltage of regulator?

6) What is the function of D1 and why 680 ohm is used as current limit resistor for LED?

7) is opamp is comparator or Integrator(because of C5)?

overall i want to understand feedback loop which contain opamp as comparator.

thank you all
« Last Edit: January 21, 2024, 12:20:32 pm by ommsiva »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #22 on: January 21, 2024, 01:49:18 pm »
Hi

Now i am attached the circuit from Manufacturer data sheet

1) In this circuit, how current through R3 (suppose 5 amps flow then voltage across R3 will be 1V) is related to R2?

2) Resistance R6 and R8 set the output voltage, is it right?

3) non Inverting input is connected to output voltage and inverting input is going to sense what?

4)what is the function of R7?

5) if inverting input goes high, that is current taken by the load is more than set current. what will happen to output voltage of regulator?

6) What is the function of D1 and why 680 ohm is used as current limit resistor for LED?

7) is opamp is comparator or Integrator(because of C5)?

overall i want to understand feedback loop which contain opamp as comparator.

thank you all

[1]  Current flows through R3 and creates a voltage drop with the top more positive than the bottom.  When the voltage drop exceeds a certain amount the voltage at the inverting terminal of the op amp becomes greater than that at pin 3, and so the output of the LM301 begins to ramp down lower.  As it ramps down, it begins to pull current from the ADJ pin node which lowers the output voltage.  When this control reaches equilibrium, the output current stays at that one level.  That means the current has been adjusted to a certain level.

[2] Yes.

[3] Inverting input senses voltage across R3 and makes the op amp output go lower when the voltage across R3 gets to a certain level.  The level is adjustable with R2 as R2 and R5 create a voltage divider.

[4] R7 is probably there to offset the effect of R6 allowing the sensing of the voltage across R3 but this should be simulated to be sure.

[5] The output will go down until the equilibrium point.  That's the point of the current regulation.  To understand this better you should study a voltage regulator using an op amp in greater detail to see how the feedback works in keeping the system at one set point of operation.  It's not too difficult to understand either.

[6] 680 Ohms is probably the right value to limit current through the LED which may be just 20ma.  D1 is there because when the output of the LM301 is higher, we don't want that output to interfere with the voltage regulation.  Thus it provides an "OR" function.  Either the voltage is regulated OR the current is regulated, but not both at the same time.  When current regulation takes over, D1 will conduct, but not until then.  Using a diode like this is typical in these circuits which have voltage regulation and a current limit setting.

[7]  The op amp will act as a rather fast integrator, so it's like a slightly slowed down comparator, but C5 probably acts as compensation also that keeps the system stable.  A capacitor there is very typical in voltage regulators that use op amps as the control element.  Without it the system is usually unstable.

Do you know how to do a simulation with any type of simulation software?  That can help answer a lot of these questions too.
« Last Edit: January 21, 2024, 01:57:51 pm by MrAl »
 

Offline ommsivaTopic starter

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Re: How Current Limitation is happening in the circuit???
« Reply #23 on: January 22, 2024, 12:35:59 am »
Sir,
1) suppose I fix the output to 20V and that will be the non inverting input of opamp and on inverting input we have R2 and R5. In what way current sense resistance R3 is related to R2 and R5???
I will carry out simulation.
« Last Edit: January 22, 2024, 12:45:44 am by ommsiva »
 

Offline MrAl

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Re: How Current Limitation is happening in the circuit???
« Reply #24 on: January 22, 2024, 03:04:32 pm »
Sir,
1) suppose I fix the output to 20V and that will be the non inverting input of opamp and on inverting input we have R2 and R5. In what way current sense resistance R3 is related to R2 and R5???
I will carry out simulation.

You can set the voltage to anything you want.  When the output current becomes great enough, there is a voltage across R3.  The bottom of R3 is connected to op amp pin 3, and the top of R3 is connected through the voltage divider to pin 2.  When the drop across R3 is great enough, the voltage at pin 2 becomes slightly greater than the voltage at pin 3, and so the output of the op amp ramps down more and more until the output falls.  When the output falls, it will fall to a level that allows just enough current through R3 to maintain the condition of the voltages at pin 2 and pin 3.  That means the circuit is not in current regulation and so the voltage may fall a little, down to 19 volts or even less if the output current is higher.
If you were to set the pot to put out just 4 amps, then the output will put out 4 amps, and the voltage will be less than the voltage set point of 20v.

Resistor R7 also sets the gain of the op amp part of the circuit.  It looks like the designer did not want to the gain too high, just high enough to get it to work well.

If you really want to understand this really well, look into a linear voltage regulator using an op amp as the control element.  Check out the voltages that come on the inputs and outputs.  In fact, you may gain insight by looking at just a voltage follower using an op amp.  That works in a similar manner.  As the output ramps up, the two voltages at the two inputs become nearly equal, and that stops the output from ramping up, and that's when it can be said to be regulating the output voltage.  A voltage follower is the simplest example of this kind of op amp action.
For example, when the circuit starts up the output could be assumed to be at 0 volts, and then when say 2v is applied to the non inverting input, the output begins to ramp up.  Eventually the inverting input becomes nearly equal to the non inverting input, and that means the output stops ramping up.  It will ramp up to nearly 2 volts when this happens, then stop, holding the output at 2 volts.
The simplest way to look at this is as the following expression shows:
Vout=A*(vp-vn)
where
A is the internal gain (typically 100000),
vp is the non inverting input which is the input voltage (say 2v),
vn is the inverting input, which is connected directly to the output.
This means the above comes out to be:
Vout=A*(Vin-Vout)
Solving this explicitly for Vout we end up with:
Vout=(Vin*A)/(A+1)
Now in pure theory, we take the limit as A goes toward infinity and get:
Vout=Vin

and so this shows how we get the same output as the input.  However, in real life we don't really have an infinite gain, so we stick with:
Vout=Vin*A/(A+1)

Now going back to that farther above:
Vout=A*(Vin-Vout)
if we start with Vout=1.999 (not quite 2.000 volts yet) we then have this:
Vout=A*(2-1.999)
or just:
Vout=A*(0.001)
and now with a gain of 1999 (just as an example) we have:
Vout=1999*0.001
or
Vout=1.999
and so that means the circuit had reached the equilibrium point because:
1.999=1999*0.001

It's good to think of this process as though the output could not ramp up quickly though as it takes some time.  As time progresses, eventually it would get to the point where the output was 1.999 volts and that would mean we had reached the regulation point and it will stay at that level.

This might seem a little strange to you at first, but it makes sense when you go over it and try to understand what happens when the circuit is first turned on.  One of the main properties that comes into play here is the slew rate which limits how fast the output can ramp up to get to the right voltage so the feedback and internal gain end up maintaining that output at the same level thereafter.
« Last Edit: January 22, 2024, 03:06:38 pm by MrAl »
 
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