After some quick testing, it appears that LV, MV, and HV all blow up if they receive more than 8EU/t from a single source. Easiest way to demonstrate this range is by loading a plain ol' generator with some coal and trying to funnel it into one of the consumers. EV is the only one that survives. Under this circumstance you can see that the output from the generator is only 10EU/t. If you divert some of the energy (like with a single MFSU) the input into the Energy Converter goes down to 5EU/t. With this extra energy pull before the Energy Converter, any of the Consumers work fine for this source since apparently the 10EU packet gets split in half as opposed to full-sized packets alternating between channels (something I didn't know previously!).
Earlier I mentioned "8EU/t from a single source" because they can accept as much as you wish as long as it starts at or below that 8EU/t threshold. Easily testable by stringing together a bunch of solar panels along a cable that feeds into a consumer. With this method, I was able to input a few hundred EU/t without detonating my Consumer. I don't remember if I tested this on every size Consumer or not.
To be safe, only input 8EU/t or less into anything besides the EV Consumer.