This started when I unplugged the charger and then when it came back on it went from "storage" into a new charge cycle. The charger was kicking out it's full 15A and AC load was also drawing maybe 10A. Removing the load eliminated the "overvoltage" error at the inverter and displayed DC V dropped to same as BMS reading. Restoring the load put me into error again and 14.1 v display. I pulled the load and waited until charge current into the battery dropped down. At that point, I could add the load again without triggering an inverter error.
Firstly i totally understand not wanting to make everything 'nice' when still in proof of concept or testing phase. Im still there after a year and a half with my house but im getting CLOSE to wanting to 'tidy it up'.
As far as the issue you're experiencing, first thing im curious about is whether you unplugged the charger from the battery or from AC power? I could see unplugging it from AC resulting in a brief 'spike' on the output if the controls part of things turns off while the charger is still 'storing energy' in all its various capacitors and inductors and since the input is all diodes (in the rectifier section), the only way that stuff gets out without dedicated 'bleed off' (flyback?) circuits is to go out the output. Kinda making a lot of assumptions there but its plausible to me. If you unhooked it from the battery i wouldn't see any way for a voltage spike to be seen by the inverter.
So, im stretching my personal knowledge maybe close to the limit here, but think of it this way.. The battery charger takes a wavy AC input and makes a flat-ish DC output. The way it does this is by putting the AC through a full wave rectifier which by itself would result in very lumpy DC that was wavy at almost exactly 120hz (it would flip the waves from the bottom of the AC waveform back over onto the top, resulting in twice as many waves on the top half). From there it feeds into a bunch of capacitors. The capacitors charge up from the 'peaks' of the waves and then discharge to fill the 'valleys'. If the current drawn from this 'reservoir' is small, the capacitors are not exhausted and the output remains fairly flat. However, as the output grows the capacitors are less able to completely fill the valleys, and lumpiness returns to the output. This is the basic thing we're dealing with, right. Im completely ignoring the whole output section of an SMPS and pretending the whole thing is basically just diodes followed by capacitors because that's all you need to recognize 'the issue'.
Ok, phase two of this explanation.. For a charger to function it has to output voltage above the battery's voltage. Side effect of this is, if you apply a 'load' to this charger+battery circuit, by nature you are going to 'load' the higher voltage source first, which is the charger. As you approach the current limit of the charger, its output will get wavier and wavier. Another way to think of it is that, from the charger's point of view, it is hooked up to a lower resistance circuit than just one battery, because to the charger the battery and the inverter appear in parallel. So each time a transistor or whatever closes the circuit between the 'reservoir' and the 'load', more current flows. However, it cannot flow more than it can flow (total stored energy for that cycle), so if you watch this purely on DC amps the difference between this 10amps vs 10amps flowing only to the battery might look the same.. still 10 amps right? Just the current vs time plot looks different and measuring amps with a meter would not pick this up (would need a scope, or at minimum a meter with an 'inrush' setting). So in this case, the ripple will be worse than if the charger had been hooked to the battery alone, and it will also be worse than if the battery alone were hooked to the inverter.
When dealing with a PWM'd source into a PWM'd load you're always going to run into some super brief weirdness because even though they both might be switching their respective transistors at thousands of hertz, there's going to be SOME times when the 'on' transistors 'line up' all the way from the input caps of the source, to the thing being
powered by the inverter, and the load appears as a dead short to the source and pulls it way down out of its 'comfort zone' of the kind of ripple it would have made if hooked ONLY to a battery. I believe i experience a symptom of this in that when my house inverters are powering ONLY inverter-controlled air conditioners, it reports a rapidly fluctuating 'load percentage' which i believe is down to this sporadic 'overlap' of transistor on times from the PWM going on at both ends.