Hello,
I have Epson XP-302. This problem started about a week ago. After printing some text file I turned off the printer like I always do. About an hour later I turned it back on to print something else and this problem bugs me since then.
Every time I turn it on, the print head starts moving. First as it's warming up like it should be and then like it's printing something(but it's actually not, just moving the print head). There is no paper pulled in the printer and no ink used. Print head moves some times, then stops and displays this message: error e-01. From there on I can't do nothing else then turn off the printer. I already tried hard reset and I cleaned the printer. I also tried to do anything really before printhead starts moving but had no success. Nothing works. What can I do to get rid of this error?

Printer is no longer under warranty. There are no filles waiting to be printed and no paper jam. I have had some pson printers in the past, but never heard of that problem. Doing Google search I found that e-01 paper jam was reported but other people. SOMEBODY even did a You Tube video.
https://www.youtube.com/watch?v=fKBlv7rFmYY

Or your Epson might have some other issue. Here is a reference:
http://www.manualslib.com/manual/415476/Epson-Xp-300.html?page=21
On the above web site you can select which page of the manual you might want to see. Try looking at other pages also, like page 23.
Quote

Paper Feeding Problems
■ If paper doesn't feed, remove it from the sheet feeder. Flip through the stack to
separate the sheets a little. Then RELOAD the paper against the right side, and slide the left EDGE guide against the paper (but not too tightly).
■ Do not load too many sheets at once. See your online User's Guide for more
information.
■ Do not load paper with holes punched in it