Viktor,
This problem is discussed at this link. It's a problem caused by sbval not attaching the units to the estimated initial condition. If you run sbval separately as Josue eventually did and then reattaching the unit to the new initial condition, it works.
Also, see here for other units problems with odesolve. It explains why odesolve sometimes works with units and sometime not. When it doesn't work, try using Rkadapt, line solver routine.
Harvey