Problems with on-board voltage

My generator seems to have problems. I bought a new battery the other day, the old one was definitely due. So far everything was quite normal. After starting onboard voltage to 13,9-14V. Then it goes down after a time to 13,4V and then settles in between 13,3-13,7V. I have a voltage indicator where the cigarette lighter is normal. But the last days where it gets dark now, I naturally have dipped light in the evening. Then I have a voltage indicator where the cigarette lighter is normal. The on-board voltage goes down after a while to approx. 12,9-13,1V. Virhin when I drove home I was surprised when the on-board voltage was only at “12,3V” (light on and radiator fans were running straight). Just before home switched down to only floor light and the voltage slowly went back to scarce 13V. Battery I still charge at all times, when I am at my garage, today also. Charging voltage is 14,5 Volt and is a very good charger with various So the battery is always full when I drive home. I almost forgot, I re-made the controller about 2 years ago, as well as the control system on the generator. A lot of text became, but I didn’t want to keep all the information from you. What to do, try new controller again, or what to do, that the onboard voltage goes under load into the knees. E.g. even if I run blower to higher level. So far it was from it always at least around the 13V, today for a short time only 12,3V (cooler fans ran but also in the moment, as well as dipped light) The most useful thing is, if I had my multimeter and oscilloscope on tomorrow, current pliers (up to 200A) I would also have to measure. Edit: No bug, which the new battery therefore also passes over the Jordan, but I charge also with charger for precautionary reasons I would not have a bug to read the whole text