Vannautical engineer
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I decided to wire myself up a way to run my van's stereo off of the house battery if I want to use it for prolonged times when the van is parked. It ended up being slightly more complicated than I expected, but it works.
First let me say that you could probably get away with just running the power to your radio from the house battery at all times and avoid a lot of this complexity. Assuming your house battery charges off of your alternator, it is probably just fine to do it this way. But I didn't really want to have the radio draw off of my house battery all the time while driving, causing the charge controller to constantly have to top up the house battery, so I did it this way. Here is what I came up with.
Under normal conditions when the key is on, power comes from your starter battery, through pin 87a of the relay, out through pin 30, and into the power feed of your radio. The radio also gets turned on as normal from starter battery power supplied from your ignition switch.
However, whenever you flip a switch and send power from the house battery through the relay, it does three things... It supplies house battery power to pin 87 of the relay, it turns on the relay, which removes the starter battery power to the radio and flips it to pin 87, which is house battery power, and lastly it supplies power to the ignition switch input to the radio, actually turning on the radio even though the key is off.
The 1 amp diodes on each supply of power going to the radio ignition input keep the house and starter battery power systems separate. Without these diodes, power would backfeed between the starter and house battery systems and have some unintended consequences.
The 15 amp diode and the 1000uf capacitor were two components that I did not think I would need when I first did this, but I quickly realized I do need them. The one problem with switching power to the radio like this is you run the risk of wiping out the radio's memory (clock, radio presets, etc) every time you switch the power. Since the relay switches very quickly, I thought it would switch fast enough that the radio wouldn't lose its settings, but my radio did. (Yours may or may not.) Having that capacitor in there keeps a little power going to the radio for that millisecond when the relay switches, so the radio doesn't lose its memory.
Also now that I really think about this, the 15A diode I put in there probably is not needed. I added that to avoid power backfeeding from the capacitor to the rest of the car's electrical system, but because the capacitor is really only needed for the fraction of a second when the relay is between the two contacts, there's really no way for the power from the capacitor to backfeed during that time anyway. So, if you do this, you can probably skip that 15A diode.
Also all of this assumes your starter battery and house battery both use the vehicle frame as a ground. And be aware that the capacitor and diodes need to be wired up in the proper polarity to work correctly. I tried to show this in the diagram, but it's easy to miss.

First let me say that you could probably get away with just running the power to your radio from the house battery at all times and avoid a lot of this complexity. Assuming your house battery charges off of your alternator, it is probably just fine to do it this way. But I didn't really want to have the radio draw off of my house battery all the time while driving, causing the charge controller to constantly have to top up the house battery, so I did it this way. Here is what I came up with.
Under normal conditions when the key is on, power comes from your starter battery, through pin 87a of the relay, out through pin 30, and into the power feed of your radio. The radio also gets turned on as normal from starter battery power supplied from your ignition switch.
However, whenever you flip a switch and send power from the house battery through the relay, it does three things... It supplies house battery power to pin 87 of the relay, it turns on the relay, which removes the starter battery power to the radio and flips it to pin 87, which is house battery power, and lastly it supplies power to the ignition switch input to the radio, actually turning on the radio even though the key is off.
The 1 amp diodes on each supply of power going to the radio ignition input keep the house and starter battery power systems separate. Without these diodes, power would backfeed between the starter and house battery systems and have some unintended consequences.
The 15 amp diode and the 1000uf capacitor were two components that I did not think I would need when I first did this, but I quickly realized I do need them. The one problem with switching power to the radio like this is you run the risk of wiping out the radio's memory (clock, radio presets, etc) every time you switch the power. Since the relay switches very quickly, I thought it would switch fast enough that the radio wouldn't lose its settings, but my radio did. (Yours may or may not.) Having that capacitor in there keeps a little power going to the radio for that millisecond when the relay switches, so the radio doesn't lose its memory.
Also now that I really think about this, the 15A diode I put in there probably is not needed. I added that to avoid power backfeeding from the capacitor to the rest of the car's electrical system, but because the capacitor is really only needed for the fraction of a second when the relay is between the two contacts, there's really no way for the power from the capacitor to backfeed during that time anyway. So, if you do this, you can probably skip that 15A diode.
Also all of this assumes your starter battery and house battery both use the vehicle frame as a ground. And be aware that the capacitor and diodes need to be wired up in the proper polarity to work correctly. I tried to show this in the diagram, but it's easy to miss.
