My thought upon seeing the words "enough power" was an image of induction refining of steel. For normal cooking and modest searing/wok-cooking, most representative cooktops should provide enough power. But as is the case for performance automobiles, for some there is never enough of something.

Recommend you collect data for several brands of 36-inch cooktops and compare their performance vs. price. Control capability and layout are also important. And you do have to power them. And if you have a cutout, then need for more cutting, or need for framing may be factors. Electrolux has one of the larger cutout requirements.

I have had a Kenmore 36-inch (Electrolux: lasted about 6 years), and Frigidaire Gallery (Electrolux: lasted so far about 7 years). As complex electronics, longevity will be less than a coil electric cooktop. But they are soooo much better.

Below is a table I made ca. 2015 before buying my Gallery. I recommend you construct an up-to-date one that covers the factors you deem important.

I should note that I also have a Cooktek induction wok hob (3.6 kW).