Feel free to correct me.
This is an option for a LED array. Not a complete drawing, but enough to start.
In the first circuit there are 6 blue LEDs and 2 red that I want to power. The power supply that is being used is LPF60D-24. The voltage is 24vdc and up to 60 watts of power. Its a constant voltage power supply, it always wants to put out 24vdc whether the load is .3 amps or 2 amps.
I'm not going to bore you with the details of Ohms Law. The only thing you have to know now is that it clearly states, smoke'em if you got'em.
So, the first circuit is switched on and running within spec. Everybody's happy.
That's just a fantasy world. Well, it will work. Still a fantasy world. Problem comes when you try to find that resistor. What is it? In this type of circuit, I call it a current limiting resistor. Its used to determine the amount of current flowing in the circuit. In this case, I want 350mA to flow. And following Ohms Law, smoke break.....
I'm back....
I see somebody calculated 1.14 ohm resistor needed for this specific circuit of LEDs. If we change the value of the resistor higher or lower the current will change. I want 350mA, not 320, 400. So a 1.14 ohm resistor is needed. In my perfect circuit, all the LEDs are lit. Why is 350mA so important? Its not really super important but I want the LEDs to perform up to the manufacture specs. You can get the forward current rating from the datasheet. In my case, the 1 watt LEDs that I am using all have the same foward current rating, but different foward voltages. The numbers above the LEDs and resistors are the voltage drops across each component. Remember, I only have 24 volts. When you add up all the voltage drops you get 23.6. So the difference between what the power supply always puts out, 24, and all the LEDs drops, 23.6, is the voltage drop on the resistor. Again, Ohms Law break.........
I love perfection.
Wait I got these LEDs from blah, blah, blah. The forward voltages vary between each LED. Maybe not much but some. Those little numbers add up. That also means I can't figure out the exact value for the resistor until I know them. Maybe I can use a potentiometer and adjust it until I read the current that I want.
OK, I got the LED voltage drops, the correct value of resistor, the power supply.
Then heat happens.
What if one LED fails?
In second circuit, the LED fails by opening. I know the manufactures claim 50000 hrs of life. Blah blah 50000. That's NOT being driven at 100% of its current rating. Its life is alot shorter driven at 100%. Then add the ill effects of heat and the life becomes even shorter. Anyway, most of the time when they fail it will open the circuit. You loose that circuit of lights, the other LEDs aren't affected but there is no light. You troubleshoot circuit and repair. Not a big problem.
But what if the LED shorts out.
In the third circuit the LED shorts out. The power supply will still put out 24vdc. So the voltage of 24 still gets distributed to rest of the circuit. But the datasheet spec said 3.2 volts for a blue LED. It doesn't add up. Well, that 3.2v is when it is driven at 350mA. Now that one LED is shorted, its voltage drop is distributed to the rest of the circuit. So each LED and resistor gets a little more volt drop onto it. For the resistor, it heats up. The LEDs, the more voltage allows the LED to conduct faster (current rises) so they have more power and they will be brighter. Not a big problem, the LEDs are brighter thats what I want!
Back to reality.....
That little voltage in this case, according to Ohms Law, smoke break....
Missed it.
Yeah, its gets brighter for a little while then the cascade effect happens because of the increased current flow with each failure. They all short out by the time reality sinks in. Imagine if it was your whole light, poof.
I does happen on occasion.
In my light there are multi strings of LEDs. So it may only take out a portion of the overall light. The other strings would be in parallel to the example circuit and wouldn't be affected by that circuit, hopefully.
For your homework, calculate the value for the current flow in the third circuit when the blue led shorts out. Hint: the extra 3.2v is not distributed evenly amongst the components.
Valid circuit to use but the failure mode is a concern and to be able to find the correct resistor, also. I didn't even get into the heat issue on this circuit so I'll put it on the back burner for now.
View attachment circuit.png