Thank you Stephen for your great advice including the link to trouble shoot the converter. Will post a reply with how my problem resolves.

Ron

First off, is your battery in good shape? Make sure that is okay first.

Second, check the reverse polarity protection fuses in the middle between the AC breakers and the fuse stack. If there was a chance that even for a second, the battery was connected in reverse, the RP fuses will blow to protect the converter.

Third, you can download a troubleshooting chart from WFCO that will help you diagnose whether it is your converter that has failed or if it is some other problem. Just choose the appropriate one for your power center/converter.

Fourth, if the converter is bad, and if your RPod is less than 2 years old, the converter will be under warranty. Contact WFCO for an RMA. If it is over 2 years old, see Amazon.com, Walmart.com, or other sites for a replacement converter. If you have the WFCO 8955 power center, it takes the WFCO-8955MBA converter. It is not that hard to replace the converter. It is only a few wires.

Last, be safe. If you don't feel comfortable doing this, find a good shop that will replace it for you. Expect to pay much more if you do so.

You are correct my error it is my converter I am concerned with, not my "inverter".  I appreciate the correction.

The mode of failure I described in my original request for help still stands.

Is there anyway to fix the converter and if not where can I buy a more reliable converter ? 

An inverter converts dc power to ac to run ac loads. A converter, which is what your rpod comes with, converts 120Vac to 12Vdc to charge the battery, which in turn directly runs your lights and other dc loads like your water pump, slide motor if you have one, furnace controls and fan, water heater propane controls, refrigerator controls, etc. 

Here is the sequence of events:

1.Plugged into line power at a known good outlet.

2.All is well until lights flicker and go dim but do come back for ~ 5 min. All LED lights in the Rpod.

3. Lights go dim and stay that way.

4. Move to another site and plug in.

5. Lights are bright for about 5 minutes and than go dim.

An interesting fact is that I can run my tow vehicle and charge the battery. An earlier time we were unsuccessful with this approach.

My "nickel's worth of guess":  In the inverter there is a relay that passes through 110 volts to the inverter which the inverter turns into 12 volts DC to power the interior lights. 

Exceptions are the electric hot water heater, the microwave and the refrigerator.

Help Please