max
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« on: November 12, 2012, 08:24:47 20:24 » |
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Hi, I need a circuit (not dedicated ics) to measure the high side current. My app is battery charging max voltage is 60V and current is 30A
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Wizpic
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« Reply #1 on: November 12, 2012, 09:00:17 21:00 » |
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You could use something like this http://uk.rs-online.com/web/p/analogue-panel-ammeters/3159515/Or a shunt that reads 0-60mv (0-60amps) then use pic/avr to dispaly the voltage another crude cheap method is messaure the volts drop accross the fuse but the downfall to this methoed is the reding could alter with temperature. I know you want to avoid dedicated ic's but other than the meter like from RS which are not cheap I can't see another way that would be easy
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solutions
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« Reply #2 on: November 12, 2012, 09:41:02 21:41 » |
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You have not provided enough information, have not defined and constrained the problem, for anyone to provide anything more than a shot in the dark. There are a million ways to do it.
How will the measurement be used? What other supplies and resources are available? Accuracy?? Regulatory/safety? Noise? Linearity? etc etc etc Most succinct is to just describe the application, but that's always a big secret in these kinds of questions.
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Gallymimu
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« Reply #3 on: November 12, 2012, 09:52:16 21:52 » |
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Current sense resistor (shunt) and an instrumentation amplifier or diff amp measuring across the shunt. INA149 is a nice high voltage diff amp +/- 275V.
Agree though that more detail is necessary to have any chance of offering a suggestion that would actually work for your situation.
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« Reply #4 on: November 12, 2012, 10:29:09 22:29 » |
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This topic reminds me of problem in work, I was asked to add amp meter to a project, asking for details of the project, I was told you don't need that. So took the easy way and went down RS&Farnell path and bought ready made meter, also I did not have to beg for funding A few weeks later when product was being fully tested before release, we got one into our workshop, fall about laughing, the power supply had a 100k resistor that was very linear over the range to be monitored. We could have done meter circuit for 100th of the cost, the prototype cost. Thank goodness I don't need to go down the now long gone, ThornEMI Route of bidding & begging for funding.
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element1133
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« Reply #5 on: November 13, 2012, 02:14:02 02:14 » |
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I know you said you wanted to stay away from dedicated ic's but this is a pretty cool device. i used it in an rf amplifer to monitor the transistor currents in the amplifier. i used it in differential mode and adjusted the gain of my diff amp to get the scaling for my current range. http://www.melexis.com/Hall-Effect-Sensor-ICs/Triaxis%C2%AE-Hall-ICs/MLX91205-689.aspxRegards
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wellnerson1
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« Reply #6 on: November 13, 2012, 02:32:24 02:32 » |
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Dear MAX, Please refer the following documents. May be useful for you. 1. citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.131.5176&rep=rep1&type=pdf 2. http://www.ti.com/lit/an/sloa044/sloa044.pdfWith regards.
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max
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« Reply #7 on: November 13, 2012, 02:55:12 02:55 » |
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You have not provided enough information, have not defined and constrained the problem, for anyone to provide anything more than a shot in the dark. There are a million ways to do it.
How will the measurement be used? What other supplies and resources are available? Accuracy?? Regulatory/safety? Noise? Linearity? etc etc etc Most succinct is to just describe the application, but that's always a big secret in these kinds of questions.
There is no secret, I have been asked to design a battery charger for 48v lead acid batteries using SCR, the low side current sensing must be avoided, the charger must have current limited output, the current accuracy/linearity is not important +/-2A deviation is ok, the sensed current output is used as an adc input to a pic uc, the supplies and resources are arranged as required. Secondly it is not necessary to use a uC, an analog solution is also ok. I have found some SCR based charger circuits using analog control (op-amps etc) with current limiting but all are using the low side current sensing. If there is an interest I can upload the circuits I found. The main reason for the avoidance of the dedicated sensing ic, is the availability of special parts, so i am looking for a solution using commonly available parts op-amps etc.
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« Last Edit: November 13, 2012, 03:05:10 03:05 by max »
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Gallymimu
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« Reply #8 on: November 13, 2012, 05:19:04 05:19 » |
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That makes it easy. Like I said, current shunt and a cheap diff amp or just an op-amp configured as a differential amplifier (the one I suggested before is probably too expensive for an application like this). Posted on: November 13, 2012, 06:13:12 06:13 - Automerged
If you are pulsing/charging from AC with the SCR you could probably also use a current sense transformer. such as this: http://www.digikey.com/product-detail/en/CT1040/TE2279-ND/2362758
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Wizpic
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« Reply #10 on: November 13, 2012, 09:54:40 21:54 » |
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I have found some SCR based charger circuits using analog control (op-amps etc) with current limiting but all are using the low side current sensing. If there is an interest I can upload the circuits I found.
Max that would be good if you could looks and sounds interesting
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solutions
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« Reply #11 on: November 13, 2012, 11:31:54 23:31 » |
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There are some people here that are assuming your uC supply is referenced to the high side, or that you have a 50V input common-mode range op amp if your uC is ground referenced....
I don't understand why no low side sensing (not that I care, just curious why you feel so strongly against it) - you'll have a heck of a time getting the uCs to communicate, with all of them having a variable absolute voltage wrt ground, lending the possibility of toasting them just because their battery is down to 41V, while their friends are fully charged.
Has your love of the high side solution for the charging complicated the rest of the circuitry to where it's not worth it?
Also have to ask why you are using lead batteries when most countries are starting to impose moratoriums on their use (assuming this is not just a one off hobby thingy)
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« Last Edit: November 13, 2012, 11:34:54 23:34 by solutions »
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zab
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« Reply #12 on: November 14, 2012, 12:39:25 12:39 » |
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The best choice for current measurement in ac battery charger is to use CT on primary side of the transformer. For a small ct will meet the need.It is simple and easy available in few cents. I have practically made charger with this ways. If you like use it otherwise ignore it.
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Gallymimu
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« Reply #13 on: November 14, 2012, 02:03:25 14:03 » |
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The best choice for current measurement in ac battery charger is to use CT on primary side of the transformer. For a small ct will meet the need.It is simple and easy available in few cents. I have practically made charger with this ways. If you like use it otherwise ignore it.
Can you give an example of an available current transformer, or a design than only costs a few cents?
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zab
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« Reply #14 on: November 14, 2012, 02:31:49 14:31 » |
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Gallymimu
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« Reply #15 on: November 14, 2012, 04:24:29 16:24 » |
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Sorry, I didn't mean an implementation design, I meant a design for the CT itself or a part number. I've not seen current transformers for a few cents and was looking for some suggestion of what you were using (or built) that was actually that cheap to measure ~30A as you suggested in this thread. I don't see any part numbers in the thread you mention (nor did I look very carefully through the two pages of discussion). A picture of a schematic symbol with no part number isn't very helpful
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« Last Edit: November 14, 2012, 04:33:03 16:33 by Gallymimu »
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Saber3239
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« Reply #16 on: November 15, 2012, 06:10:57 06:10 » |
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Small shunt resistor and INA282 will do the job
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zab
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« Reply #17 on: November 15, 2012, 09:10:51 09:10 » |
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Sorry, I didn't mean an implementation design, I meant a design for the CT itself or a part number. I've not seen current transformers for a few cents and was looking for some suggestion of what you were using (or built) that was actually that cheap to measure ~30A as you suggested in this thread. I don't see any part numbers in the thread you mention (nor did I look very carefully through the two pages of discussion). A picture of a schematic symbol with no part number isn't very helpful Please see the attached pic for ref. It is Chinese made ac current transformer attached on the primary side of the charger being on higher potential operating with less current. while on secondary the current will be much high with lower voltages. In this You can use a small ct instead of big costly ct. Hope it will clear the confusion.
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nordiceng
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« Reply #18 on: April 20, 2013, 05:16:17 05:16 » |
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please, let me know high voltage AC or DC , you need to provide more information about this case
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SteveyG
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« Reply #19 on: May 10, 2013, 03:08:43 15:08 » |
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The best choice for current measurement in ac battery charger is to use CT on primary side of the transformer. For a small ct will meet the need.It is simple and easy available in few cents. I have practically made charger with this ways. If you like use it otherwise ignore it.
What makes that the 'best' way? There are many ways to measure the current on a battery charger, each will have their pros and cons.
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nordiceng
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« Reply #21 on: May 10, 2013, 07:26:01 19:26 » |
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you can use current transformer to convert high current into low current and then current measurements will be more safe
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PaulC
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information is free and should be shared for free
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« Reply #22 on: May 11, 2013, 12:48:20 00:48 » |
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find it , read it , share it .
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Hrdwr_Adct
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« Reply #23 on: May 11, 2013, 05:49:39 05:49 » |
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Hey Max, I know you're not looking for an integrated solution but go ahead and file this one away for when you do. I've used a lot of these in the past. Hall Effect aka good isolation but only reasonable bandwidth/response depending on what your shooting for 50A 100A and they work well in parallel if you want to get into some serious amps AC DC high side, low side, middle side, who cares, when the part is dirt cheap and the size of a quarter in real estate, why fiddle around with a dozen or more parts. Wanna get fancy then use a DAC pin for scaling a VGA gain stage w/ offset on the output and poke it into the ADC. Sprinkle a little microP code....be happy High side, high current monitoring doesn't get any easier than this: http://www.allegromicro.com/Products/Current-Sensor-ICs/Fifty-To-Two-Hundred-Amp-Integrated-Conductor-Sensor-ICs/ACS756.aspxH_A
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solutions
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« Reply #24 on: May 11, 2013, 09:06:42 09:06 » |
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you can use current transformer to convert high current into low current and then current measurements will be more safe
Please explain - "more safe"
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« Reply #25 on: June 11, 2013, 07:45:05 19:45 » |
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I would recommend a shunt, but you need to be very careful selecting it, if your Imax = 60A then if you select .001 ohm shunt it will give you full range output of .06V and the reason you need to be careful is the power over that resistor will be 3.6 watts, you need to make sure that your shunt can handle that, you can interface the shunt with any energy measurement IC or use PGA to filter and amplify the signal before reading it. if your change your resistor value to .01 ohm you will have much higher output (.6v) but your power will be 36 watts !
Best Regards
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zab
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« Reply #26 on: June 12, 2013, 09:04:05 09:04 » |
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Hey Max, I know you're not looking for an integrated solution but go ahead and file this one away for when you do. I've used a lot of these in the past. Hall Effect aka good isolation but only reasonable bandwidth/response depending on what your shooting for 50A 100A and they work well in parallel if you want to get into some serious amps AC DC high side, low side, middle side, who cares, when the part is dirt cheap and the size of a quarter in real estate, why fiddle around with a dozen or more parts. Wanna get fancy then use a DAC pin for scaling a VGA gain stage w/ offset on the output and poke it into the ADC. Sprinkle a little microP code....be happy High side, high current monitoring doesn't get any easier than this: http://www.allegromicro.com/Products/Current-Sensor-ICs/Fifty-To-Two-Hundred-Amp-Integrated-Conductor-Sensor-ICs/ACS756.aspxH_A Hi Hrdwr_Adct, I too have used this device from allegro. But had a bad experience with it. this device is too sensitive especially to sparking that occurs when you connect wires to the terminals.After few times of connection and disconnection the allegro ic ACS756 stop working.So I don't consider it safe. Have someone faced this problem or not .What type of protection these devices required against such problems.
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« Reply #27 on: July 18, 2013, 08:34:53 20:34 » |
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Hi Hrdwr_Adct, I too have used this device from allegro. But had a bad experience with it. this device is too sensitive especially to sparking that occurs when you connect wires to the terminals.After few times of connection and disconnection the allegro ic ACS756 stop working.So I don't consider it safe. Have someone faced this problem or not .What type of protection these devices required against such problems. Sparking? What do stopped to work, just the Vout, the conductor opens, maybe both? The datasheet says that the conductor can handle an overcurrent of 5 times the nominal current, maybe are you having some inrush current bigger than that? I was planning to use some of these devices, but the regular distributors never had them in stock. In fact I don't know until now who sells them.
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zab
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« Reply #28 on: July 27, 2013, 01:21:59 13:21 » |
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The device I used has 50A +_rating and having 5 time current would be 250A. No, the limit can not be even touched. The problem was that output pin got short with 5v. still could not find any other reason of its failure.
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solutions
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« Reply #29 on: July 27, 2013, 01:50:44 13:50 » |
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"Cannot" is a bad word. Worse than the F word for a designer/troubleshooter.
Instantaneous current, from a zero impedance source into a zero ESR capacitor, is infinity and beyond...
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pickit2
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« Reply #30 on: July 27, 2013, 03:02:17 15:02 » |
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to infinity and beyond...
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« Reply #31 on: July 28, 2013, 11:09:35 23:09 » |
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There is a very clever and cheap solution for high side current monitoring: an Op amp, four resistors (one, R1 in the attached picture, is the shunt) and a NPN transistor (or, if you prefer, a NMOS). Say R1 = 0,001 ohm (that gives a 60 mV drop voltage at I_load = 60 A with 3,6 W power dissipation) we can put R2 = 1 ohm (that gives I_R2 = 60 mA at I_load = 60 A) then R3 = 82 ohm gives Vo = 60 x 10exp(-3) x 82 = 4,92 V full scale reading. U1 has to be supplied by Vin or higher, it has to be able to stand a common mode input up to +Vcc and (this is a problem, in this case) be able to withstand Vin = 60 V as +Vcc - -Vcc differential supply. Luckily exists an old device by NSC called Norton amplifier: LM2900 or commercial grade LM3900 (four op-amps in a 14 PDIP case), or LM259 / LM359 (dual op-amps) that have a current mirror input, so you simply put two high values resistors in series with the op-amp inputs and you get a common mode input as large as you want. The IC should be supplied with a 9 to 15 V referred to ground (see datasheets at NSC web site). Two 10 Mohm resistors should be adequate: the input current should be something between 1 uA and 10 uA. Q1 should have Vceo > 60 V of course (or Vdsmax > 60 V if a NMOS is used). There are also SOT-23 IC's that implement such a circuit: they need R1 (shunt resistor) and R3 (output resistor). Op-amp, transistor and resistors R2 and R4 are all within the chip. Unfortunately I was not able to find ones that withstand more than 20 V maximum between input and output pins. Posted on: July 28, 2013, 11:52:51 23:52 - Automerged
...and here the circuit diagram with Norton Amplifier LM3900
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max
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« Reply #32 on: July 29, 2013, 03:32:22 03:32 » |
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Thanks PeterMcMonty for the circuit, is it possible to directly measure the mains voltage using lm3900?
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« Reply #33 on: July 29, 2013, 05:33:21 05:33 » |
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Nice circuit, PeterMcMonty.
Aren't you going to get in trouble with Vgs breakdown if you use NMOS at more than about 20V on the supply? Kind of goes with your argument about using current devices for voltage range.
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max
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« Reply #34 on: July 30, 2013, 05:23:40 05:23 » |
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see the attached files for the similar circuits extracted from on-semi app notes.
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Pice
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« Reply #35 on: August 04, 2013, 09:30:59 09:30 » |
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I also need current sensing for a solar MPPT I am working on. I have gone with an integrated high side and a 0.01 Ohm sense resistor.
My problem is the following. Being an outdoor product, the device will be exposed to extreme temperature fluctuations. In addition, during hot weather the current increases dramatically, so the power dissipated across the resistor compounds the heating issue.
For the MPPT function, all I care about is the relative power. However, I would like to able to get accurate absolute readings as well.
The only solutions I can come up with are to use a resistor with a massive current rating (50W instead of 5W) to minimize the heating and then compensate in software using the onboard temp sensor. Alternately I could mount the resistor on a heatsink together with a discreet temp sensor.
Is there a cheap(er) current sense that can handle 20A with accuracy over -10 + 70 Celsius range?
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Gallymimu
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« Reply #36 on: August 05, 2013, 06:01:02 06:01 » |
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I also need current sensing for a solar MPPT I am working on. I have gone with an integrated high side and a 0.01 Ohm sense resistor.
My problem is the following. Being an outdoor product, the device will be exposed to extreme temperature fluctuations. In addition, during hot weather the current increases dramatically, so the power dissipated across the resistor compounds the heating issue.
For the MPPT function, all I care about is the relative power. However, I would like to able to get accurate absolute readings as well.
The only solutions I can come up with are to use a resistor with a massive current rating (50W instead of 5W) to minimize the heating and then compensate in software using the onboard temp sensor. Alternately I could mount the resistor on a heatsink together with a discreet temp sensor.
Is there a cheap(er) current sense that can handle 20A with accuracy over -10 + 70 Celsius range?
might need to use a Manganin shunt for precision over temperature. In a nice current measurement device you'll see a thru hole piece of Manganin that has been ground down to give an exact resistance (or you could just calibrate your measurement system). I use some 500A Manganin shunts for precision high current measurements but they are bulky! They cost about $30 and are 50mV at 500A. http://www.murata-ps.com/data/meters/dpm_shunts.pdfYou should be able to find something in the 20A range. LEM also makes some powered DC current transformers I think but they are pricey.
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pablo2048
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« Reply #37 on: August 05, 2013, 06:23:38 06:23 » |
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I'm using ACS712 in my Arduino project without problem - so You can try...
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Pice
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« Reply #38 on: August 05, 2013, 06:12:30 18:12 » |
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Thanks. I hadn't heard of Manganin shunts before. I did a quick search and came up with the Murata 20A 3020-01098-0 on Digikey for $20.
Unfortunately the Allegro ACS712 is sensitive to temperature so I didn't even try sourcing it.
I think I going to have to just go with temp. monitoring and SW compensation to keep price down.
Any ideas on how to attach an LM35 to a power resistor ?
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« Reply #39 on: August 05, 2013, 11:29:30 23:29 » |
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Thanks. I hadn't heard of Manganin shunts before. I did a quick search and came up with the Murata 20A 3020-01098-0 on Digikey for $20.
Unfortunately the Allegro ACS712 is sensitive to temperature so I didn't even try sourcing it.
I think I going to have to just go with temp. monitoring and SW compensation to keep price down.
Any ideas on how to attach an LM35 to a power resistor ?
GLUE! I'd probably try using an SOT23 temp sensor right underneath a thru hole power resistor or maybe between a couple in parallel to try and keep the heating uniform. As long as your thermal load isn't very high and your temps aren't changing too fast you can use just about any glue or thermal compound to help block convection from causing problems. LM35s are pretty pricey these days for what they do. How accurate do you need to be, there may be lots of other less complicated options, but you didn't include enough information for anyone to help you since you just said "accurate from -10 to +70" Personally I think 1% is pretty accurate but you might need 0.0001% Who would know!
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« Reply #40 on: August 06, 2013, 09:40:59 09:40 » |
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Thanks Gallymimu
The thru hole over sot23 sounds like an elegant solution.
I'm am still in the early design stages. I'm shooting for 0.1% over the temperature range. If it's not economically feasible, I'll have to settle for less. The more impressive it sounds, the better.
The temp sensor accuracy is much less critical. A 2o C error will only give a 400ppm error on the reading.
I just know the LM35 because that's what I used to use for discreet measuring. I haven't used one in years. I'll take a look at some of the newer ones.
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« Reply #42 on: August 07, 2013, 09:32:53 21:32 » |
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I just thought of another possibility. Since it is for a solar regulator, current and heat should be quite closely related ( Hotter day = more current & more current = hotter resistor). Therefore I could probably estimate the temp error based on the current/voltage reading alone.
The resistors I was planning on using are 200ppm/oC If I use the 20ppm ones you suggest instead, total error over the temp range is 0.16%. If I use the crude temp correction above, assuming I can estimate to within 20o I can reduce the temp error to 0.04% over the entire range.
Once temp/current has been accounted for and the resistor has been calibrated, Shouldn't I be able to get much better than 0.1% ? What else could cause the resistor to drift ?
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Gallymimu
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« Reply #43 on: August 08, 2013, 04:19:51 04:19 » |
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I just thought of another possibility. Since it is for a solar regulator, current and heat should be quite closely related ( Hotter day = more current & more current = hotter resistor). Therefore I could probably estimate the temp error based on the current/voltage reading alone.
The resistors I was planning on using are 200ppm/oC If I use the 20ppm ones you suggest instead, total error over the temp range is 0.16%. If I use the crude temp correction above, assuming I can estimate to within 20o I can reduce the temp error to 0.04% over the entire range.
Once temp/current has been accounted for and the resistor has been calibrated, Shouldn't I be able to get much better than 0.1% ? What else could cause the resistor to drift ?
If you study the data sheets for all of those shunts you will see specs for a variety of parameters that can cause accuracy drift such as time, temp cycling etc. So it isn't a guarantee that if you calibrate out the initial accuracy (which will help immensely) and compensate for temp coef (which is different from the permanent change that temp cycling can cause) that you will be SUPER accurate. The thing that's hard is that some of these items that will drift probably won't occur until it's been in the field for months/years so you may never know it drifted. Accelerated life testing would be one way to validate (and that's mostly a test of operation at greatly elevated operating temperature). Posted on: August 08, 2013, 05:16:54 05:16 - Automerged
oh, I'd personally not make the assumption that current is related to temp other than an approximation of self heating of the shunt. Ambient temp should be considered unknown. For instance when it's really hot and there is a lot of sun, if a cloud comes over the temp may only drop a little (depending on the size of the cloud) but the current will drop dramatically.
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« Reply #44 on: August 10, 2013, 10:10:00 22:10 » |
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oh, I'd personally not make the assumption that current is related to temp other than an approximation of self heating of the shunt. Ambient temp should be considered unknown. For instance when it's really hot and there is a lot of sun, if a cloud comes over the temp may only drop a little (depending on the size of the cloud) but the current will drop dramatically.
Good point, I wasn't thinking. I suppose I'll just go back to a cheap temp sense, resistor & glue. It should do the job. If I use the shunts you mentioned above ( a flat bar bent like a square "U" ) , a to-92 package is probably easier to attach than a sot23. I'll just place it next to the shunt with the flat side parallel to the side of the shunt, with a drop of thermal grease in between.
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« Reply #45 on: August 11, 2013, 06:41:49 06:41 » |
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I think a TO-92 will be a little big, you measured temp will be a combination of ambient convection across most of the epoxy package of the case and then some from the connection to the shunt. Would you consider a thermistor? A little encapsulation would help prevent ambient temp effects.
Since there isn't a large heat load thermal grease doesn't do a lot for you, just use a very thin layer of glue.
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« Reply #46 on: August 11, 2013, 03:17:42 15:17 » |
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I've already installed some Pt100 sensors and thermistors with this product: http://www.electrolube.com/docs/thermalmain.asp?id=36That's a bi-component "epoxy bonding system", and I think that works for temperatures below 130șC, but there are some alternatives that work with higher temperatures. I got a sample from the local distributor, probably you can ask for one too. Even the small syringe can be used to install a lot of sensors.
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« Reply #47 on: August 11, 2013, 03:57:40 15:57 » |
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I've already installed some Pt100 sensors and thermistors with this product: http://www.electrolube.com/docs/thermalmain.asp?id=36That's a bi-component "epoxy bonding system", and I think that works for temperatures below 130șC, but there are some alternatives that work with higher temperatures. I got a sample from the local distributor, probably you can ask for one too. Even the small syringe can be used to install a lot of sensors. again since there isn't a heat load he probably doesn't need anything thermal. RTV is probably fine if it get's really hot *silicone RTV handles rather high temps), and honestly besides the interface you don't want thermal conduction so a slight encapsulation around the sensor with a NON-thermally conductive compound is best to prevent convective cooling of the non-bonded surfaces of the sensor.
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« Reply #48 on: August 12, 2013, 07:03:12 19:03 » |
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You need to be careful with RTV. It'll really mess up some sensors.
O2 sensor for automotive comes immediately to mind, which needs to run HOT
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« Reply #49 on: August 16, 2013, 01:15:02 01:15 » |
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Thanks PeterMcMonty for the circuit, is it possible to directly measure the mains voltage using lm3900?
Regards
I think it's possible, but not very straightforward. Posted on: August 16, 2013, 02:04:00 02:04 - Automerged
Nice circuit, PeterMcMonty.
Aren't you going to get in trouble with Vgs breakdown if you use NMOS at more than about 20V on the supply? Kind of goes with your argument about using current devices for voltage range.
Thanks for your appreciation, solutions, I dont' think there are troubles with Vgs, since the device operate in a closed loop: when Vgs goes over threshold the MOS starts conduction and the op amp output tends to go lower and so Vgs. Furthermore, the LM3900 should be supplied with no more than 15V, then its output cannot go higher than 15V too. Sorry for my english, but I don't understand your last phrase: " Kind of goes with your argument about using current devices for voltage range." may you please explain me in some other way? Thank you
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« Last Edit: August 16, 2013, 01:23:09 01:23 by PeterMcMonty »
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That\'s not a bug, it\'s a feature!
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« Reply #50 on: August 16, 2013, 02:51:49 02:51 » |
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You need to be careful with RTV. It'll really mess up some sensors.
O2 sensor for automotive comes immediately to mind, which needs to run HOT
Just for my knowledge, what aspects of the RTV will mess up some sensors? Is it the acetic acid that is the concern or something else (like simple penetration of the RTV into the sensor) that goobers stuff up?
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