Since that is my picture...
It is a True Induction (brand name) unit.
Induction Cooktops by True Induction | Single & Double Burner Cookers
We did have to purchase new pots and pans to use with it, but were looking for an excuse to buy a new set for the boat anyhow.
They have a 60 day risk free trial, buy one, use it and see if you like it or not.
We have a Victron 2500w inverter/charger and really haven't had the occasion to run it purely on the inverter, using either shore power or our 8kw genset.
When we first got it I tested it next to our natural gas range at home. I believe it brought water to a boil in slightly more than half the time it took the gas range to do the same (equal amount of water in the same pan). We really like it; spills are easy to clean not having any grates to deal with. The greatest advantage is that it stows away when not in use.
By the way, that sorry excuse for a counter top has been replace by this:
