I’m looking to set up a Z-Wave home automation system. However, I can’t seem to find anything to control electric baseboard heaters. Is this something that is not possible or should I look at a different technology?

You might consider taking a look at the 2Gig Z-Wave multi-stage thermostat. It’s 100 percent compatible with all popular residential HVAC systems; 24VAC single, two stage conventional heating systems (gas/oil/electric), heat pumps, single stage or with auxilliary heat (electric or fossil), zoned forced air and zoned hot water (2 or 3 wire), millivolt systems (with 24VAC adapter), one or two stage cooling, and hybrid systems. Then take a look at the installation manual for more details on how to set it up.

Are there Z-Wave switches that can handle 10 to 30 amperes?

Are you utilizing US(908.42) or EU(848.42) Z-Wave? Start with the EU Frequency. The appliance modules are rated at 10 amps general use. For US(908.42) Frequency here’s a good starting place. All relay switches are rated at 15 amps minumum. There are devices that are rated at 20 amps and others at 30 amps.