Help a newbie pls! RC snubber values for 240v ac.

Hoping someone can help me out on my first pcb project please. Just got started learning about Arduino and as in lockdown boredom got right into it, learned basic schematic and pcb design on EasyEDA and loads of other things right back to school and Ohms Law again. Been stumped a few times and found the solutions, but I cannot for the life of me find an answer to calculate rc snubber values for arc supressression on my 12v contactor. I think I could work it out if I knew the Henry value for my loads inductance, but all I know is it's a 60 w, 240 mains ac water pump (aquarium type). So I don't know the energy the capacitor needs to absorb. Is it feasible to ballpark this?

Concensus seems to be snubbers are better across the load than the contacts switch. MOV across load is also recommend. "Standard" snubber combos for mains AC are around 100ohm and 0.1mf, not sure if thats just too much for my setup. I'd guess I could do without a snubber but I'd like to learn anyway since I've come this far and operate good practice. Simplified schematic below.

Any advice (other than you don't know what your doing mate give up) appreciated thanks.

100nF (0.1µF) and 120 ohms are commonly quoted values. The components must be rated for mains,
note, and yes resistors do have a voltage rating.

You can get a complete snubber network in one package, with safety approvals, such as:

Those values sound sensible to me. Some time back I built a snubber for a TRIAC switch, that had a 47 Ohm resistor. I forgot the capacitance, I think it was a bit more but then it was for a 700W, 3-4A output.

Best is to use X rated capacitors. Must be rated 250AC or higher, and they're meant to be used in conjunction with a fuse as they are designed to fail closed. The blown fuse then tells you the cap failed and you have to replace the board.

A regular 1/4W through hole resistor is fine; if using SMD components you need two 1206 resistors in series - they're rated 200V each so 400V between them (for resistors the voltage rating is related to the electricity arcing on the outside of them).

By the way, 0.1 mF = 100 μF (also written uF if you can't type the μ).
0.1 μF = 100nF.

You can also see these on sale, for example here : 2x RC Snubber Module Relay Contact Protection Circuit Electromagnetic | eBay

with component values visible. Of course, I am not sure how scientifically these component values/properties have been chosen, though.

I think the snubber is more effective across the contacts for arc suppression.
There is no rule that you can't have both.

C.C Bates developed a formula for calculating the resistance and capacitance value that is required for the RC network:
C = I^2 /10,
and
Rc= Vo /[10I{1+(50/Vo)}]

V=I*Rc= (Rc/RL) Vo

  • RC = Resistance of RC Snubber
  • C = Capacitance of RC Snubber
  • RL = Load Resistance

V=I*Rc= (Rc/RL) Vo
P = 60W
V = 240Vrms
Vpeak = SQRT(20*VRMS= 1.414213562373 * 240V = 339.41Vpk
P = I * V => I = P/V
= 60W/240V
= 0.250A

C = I^2 /10

** = (0.250A)^2/10**
** =** 0.00625 F (6246uF)
= 6246****uF

Rc= Vo /[10I{1+(50/Vo)}]
** =** 240V/[10/(1+(50/240V))]
** =** 240V/[10/(1+0.2083)]
** =** 240V/[10/1.2083]
** =** 240V/8.2758
Rc = 29 ohms

V= I*R => R = V/I
RL = VL/IL
RL = 240V/0.250A
RL = 960 ohms

The voltage induced at the contact opening can be determined by:

V=I*Rc= (Rc/RL) Vo

V=I*Rc= (Rc/RL) Vo

V = 0.250A*29 = (29/960)*240 = 7.25V
Note: freq of line voltage is not given (50Hz or 60Hz) ?
** If given, it is possible to calculate the Capacitive Reactance of the Snubber cap.**
Calculating Snubber Values
FYI, schematic convention is that the GNDs are shown at the bottom, not the top, so basically,
your circuit is upside down, regardless of being electrically correct. (power rails are shown at the top, GNDs
at the bottom of the schematic. The relay should be rotated 90 CW, which would be the GND at the bottom.
The 12V should be brought out to the left and then 90 CW bend so it is pointing up. The schematic is also
inconsistent because the water pump has no connection dots whereas everything else does. Either use them nowhere or everywhere. Also , it is not necessary to draw the water pump as box. It is an electric motor and should be drawn as a motor, not a box. Why use symbols for capacitors, resistors and diodes
but not inductors ? Either an inductor symbol or a motor symbol (circle with M insde) is correct.

raschemmel:
I think the snubber is more effective across the contacts for arc suppression.
There is no rule that you can't have both.

Snubber across the contacts is a big safety issue, snubbers leak enough current to cause injury or
even death (though not by electrocution, but by the subsequent fall or involuntary reaction).

Snubbers belong to the load, since the component choices scale with the load inductance and current.
They then only waste electricity when the load is on, rather than all the time the load is "off".

Snubber across the contacts is a big safety issue, snubbers leak enough current to cause injury or
even death (though not by electrocution, but by the subsequent fall or involuntary reaction).

I don't understand what you mean. Isn't it necessary to touch something to receive a shock ?
Can you explain to be why anyone (with any common sense) would be touching a snubber on a 240V line ?
I'm having trouble seeing how your comment is relevant unless you are assuming people go around touching
high voltage components .
You point about wasting electricity is a valid one.
For Rc = 29 ohms
and Xc (60Hz) = 0.42 ohms,
IRC Snubber = Vo/29 = 8.27A (when snubber across off contacts)
P = I * V
= 8.27*240
P = 1986W

raschemmel:
I think the snubber is more effective across the contacts for arc suppression.
There is no rule that you can't have both.

V=IRc= (Rc/RL) Vo
P = 60W
V = 240Vrms
Vpeak = SQRT(20*VRMS= 1.414213562373 * 240V = 339.41Vpk
P = I * V => I = P/V
= 60W/240V
= 0.250A

C = I2 /10

** = (0.250A)^2/10**
** =** 0.00625 F (6246uF)
= 6246****uF

Rc= Vo /[10I{1+(50/Vo)}]
** =** 240V/[10/(1+(50/240V))]
** =** 240V/[10/(1+0.2083)]
** =** 240V/[10/1.2083]
** =** 240V/8.2758
Rc = 29 ohms

V= I*R => R = V/I
RL = VL/IL
RL = 240V/0.250A
RL = 960 ohms

The voltage induced at the contact opening can be determined by:

V=IRc= (Rc/RL) Vo

V=IRc= (Rc/RL) Vo

V = 0.250A*29 = (29/960)*240 = 7.25V
Note: freq of line voltage is not given (50Hz or 60Hz) ?
** If given, it is possible to calculate the Capacitive Reactance of the Snubber cap.**
Calculating Snubber Values
FYI, schematic convention is that the GNDs are shown at the bottom, not the top, so basically,
your circuit is upside down, regardless of being electrically correct. (power rails are shown at the top, GNDs
at the bottom of the schematic. The relay should be rotated 90 CW, which would be the GND at the bottom.
The 12V should be brought out to the left and then 90 CW bend so it is pointing up. The schematic is also
inconsistent because the water pump has no connection dots whereas everything else does. Either use them nowhere or everywhere. Also , it is not necessary to draw the water pump as box. It is an electric motor and should be drawn as a motor, not a box. Why use symbols for capacitors, resistors and diodes
but not inductors ? Either an inductor symbol or a motor symbol (circle with M insde) is correct.

Thanks, that's a very detailed answer, you know your stuff. Are you saying I need a 6246uF capacitor and 989ohm (960+29) resistor across the load? Seems a lot different to those "standard" 0.1uF and 120 ohm snubbers. Not questioning you, just saying. In response my Hertz is 50. Thanks for the schematic convention tips...noted. Couldn't find the motor symbol on my software btw.

wvmarle:
Those values sound sensible to me. Some time back I built a snubber for a TRIAC switch, that had a 47 Ohm resistor. I forgot the capacitance, I think it was a bit more but then it was for a 700W, 3-4A output.

Best is to use X rated capacitors. Must be rated 250AC or higher, and they're meant to be used in conjunction with a fuse as they are designed to fail closed. The blown fuse then tells you the cap failed and you have to replace the board.

A regular 1/4W through hole resistor is fine; if using SMD components you need two 1206 resistors in series - they're rated 200V each so 400V between them (for resistors the voltage rating is related to the electricity arcing on the outside of them).

By the way, 0.1 mF = 100 μF (also written uF if you can't type the μ).
0.1 μF = 100nF.

"By the way, 0.1 mF = 100 μF (also written uF if you can't type the μ)."... Yeah sorry about that, just me trying to cause confusion lol. Where do you even find those symbols on a normal keyboard?!

"Thanks, that's a very detailed answer, you know your stuff. Are you saying I need a 6246uF capacitor and 989ohm (960+29) resistor across the load? Seems a lot different to those "standard" 0.1uF and 120 ohm snubbers. Not questioning you, "
NO. READ IT AGAIN.
Rc=RC SNUBBER RESISTOR=29 ohms
R(Load) (your pump) =960 ohms
C can be rounded to 6300 uF

raschemmel:
"Thanks, that's a very detailed answer, you know your stuff. Are you saying I need a 6246uF capacitor and 989ohm (960+29) resistor across the load? Seems a lot different to those "standard" 0.1uF and 120 ohm snubbers. Not questioning you, "
NO. READ IT AGAIN.
Rc=RC SNUBBER RESISTOR=29 ohms
R(Load) (your pump) =960 ohms
C can be rounded to 6300 uF

Gotcha thanks.

"In response my Hertz is 50. "
That makes Xc = 0.50 ohms
Xc= 1/(2Pif*C)
I = V/R
= 240V/29.50 ohms
= 8.13A
Psnubber across OPEN contacts= 8.13A * 240V
= 1952W
(that seems rather high. I am doing something wrong here ?)

From bigger to smaller:
pF = picoFarad
nF = nanoFarad
uF = microFarad
mF = milliFarad
F = Farad

Very different.

1000pF = 1nF = 0.001uF = .000001mF

Here's a good site for converting units.

raschemmel:
"Thanks, that's a very detailed answer, you know your stuff. Are you saying I need a 6246uF capacitor and 989ohm (960+29) resistor across the load? Seems a lot different to those "standard" 0.1uF and 120 ohm snubbers. Not questioning you, "
NO. READ IT AGAIN.
Rc=RC SNUBBER RESISTOR=29 ohms
R(Load) (your pump) =960 ohms
C can be rounded to 6300 uF

But 6300 uF capacitor is MASSIVE and all seem to be electrolytic polar ones. This is for ac and a pcb??! Confused.

pF = picoFarad
nF = nanoFarad
uF = microFarad
mF = milliFarad
F = Farad

0.mmmuuunnnpppfffaaa

Milli = x10^-3 (m)
Micro = x10^-6 (µ)
Nano = x10^-9 (n)
Pico = x10^-12 (p)
Femto = x10^-15 (f)
Atto = x10^-18 (a)

But 6300 uF capacitor is MASSIVE and all seem to be electrolytic polar ones.

I agree . I think I may be doing something wrong. I know the cap value is related to the load current at contact opening by C=I^2/10
For ILOAD= V/R = 240/960 = 0.25A
C = ((0.250A)^2)/10
= 0.0625/10
= 0.00625 F

Let's scrap that and try a different approach based on the energy

Give me some time to research this. I agree the cap value can't be correct.

raschemmel:
0.mmmuuunnnpppfffaaa
I agree . I think I may be doing something wrong. I know the cap value is related to the load current at contact opening by C=I^2/10
For ILOAD= V/R = 240/960 = 0.25A
C = ((0.250A)^2)/10
= 0.0625/10
= 0.00625 F

I can see your maths is correct. I think he developed that formula for much heavier loads. It seems to be aimed at reed relays rather than standard electromagnetic ones if I interpret it correctly. From other similar examples I've seen I was expecting a value of 0.01 - 0.1 uF (or at least close)

Look at this

SPECIFICATIONS

  1. R-C Value: 0.1 μf,
    47 Ω 1/2 Watt (±30%)
  2. Max. Line Voltage: 250 V rms or 250 VDC
  3. Frequency: DC to 62 Hz 4. Peak Pulse Voltage: 1200 V max.

Try these values. This is an off the shelf packaged snubber.
I'll get back to you on the math but for now just ignore what I said before and go with this.
In the meantime take a look at this

That looks better (@raschemmel).

Already had this worked out ...

"Standard" snubber combos for mains AC are around 100ohm and 0.1m µf

Since your load is only 60W, there's no reason or benefit to use a snubber with higher capacitance. At 240V/50Hz and 0.1µF capacitance, the steady-state current through the snubber will be about 7.5mA.

Here, the capacitive reactance plus snubber resistor is 31831Ω + 100Ω. (240V/31931Ω = 7.5mA AC)

Oh, the resistor should have a sufficient working voltage rating to handle 240VAC continuous ... usually its sized 1.6W or higher with at least 500V rating because it has to handle the voltage spikes and surge current.

Try these values on the online calculator
(VRAIL = Vpeak= VrmsSQRT(2) = 240v1.414 = 340VPEAK)


AC MOTOR SNUBBER

A. RC TC = 22uS
AC_SNUBBER.png
B. RC TC = 3.3uS

AC_SNUBBER-2.png

AC_SNUBBER.png

AC_SNUBBER-2.png