Period a week late and feel nauseous - but negative pregnancy test??

My period is pretty much always on time. I'm now a week late and feel nauseous, dizzy, and have headaches, just feeling generally yucky. Food doesn't sound appealing.

There's not a good chance I could've conceived, but it is possible. So I took two home pregnancy tests, one later in the day and one with my first morning pee. Both were very clearly negative.

So why do I feel crappy and not have my period?? I'm getting concerned. Has this happened to anyone else?