Congrats on the new boat!! I'm using a Honda 2000i without any issues aside from reasonable limitations.
It looks like we have a couple of variables here that need some clarification. You have:
1) a 2000watt Hyundai Genny
2) You have an electric heater.
-> How are you connecting the genny to the heater? I have one of these (link below) which I plug into my Honda, then connect my shore power cord to the shore power receptical and use the breaker panel to control what is being powered by teh generator.
http://www.defender.com/product.jsp?...692&id=1515595
This requires some thought in regards to conservation. For example, I keep the fridge and the battery charger on all the time. However, I cannot keep the water heater on all the time. However, i don't really need to because it only takes about 20 min. for the water heater to heat the water and it holds heat for a good deal of time. I cannot run the water heater and the stove at the same time. I typically only run the heater and the fridge together with everything else turned off.
-> How large is the electric heater? How much does it draw? I use one of these and don't have any issues:
http://www.westmarine.com/webapp/wcs...classNum=10702
I can see that a larger electric heater could cause some issues.
-> The Hyundai specs actually look a bit better than the Honda
Hyundai:
2200W Peak Power, 2000W Running Power
Output Current 16.6A, Max Circuit 20A
3.8HP 5500RPM 125CC Hyundai Motor
Manual Recoil
Two 120V 16.6A AC & One 12V 8.3A DC
7 Litres
2200W
Unleaded Gasoline
5.5 Hours
65dB
3mm Polypropylene
525x330x575mm
32kg
EU2000i Companion
Specifications
Engine
Honda GX100
Displacement
98.5cc
AC Output
120V 2000W max. (16.7A) 1600W rated (13.3A)
Receptacles
30A 125V Locking Plug, 20A 125 V receptacle
DC Output
NA
Starting System
Recoil
Fuel Tank Capacity
1.1 gal.
Run Time per Tankful
4hrs. @ rated load, 9.6 hrs. @ 1/4 load
Dimensions (L x W x H)
20.1" x 11.4" x 16.7"
Noise Level
59 dB @ rated load 53dB @ 1/4 load
Dry Weight
45.9 lbs.
Residential Warranty
3 Years
Commercial Warranty
3 Years