How can I support myself by doing research?
Here are some options to investigate:


Find a funding source. As suggested in a comment by ff524, your advisor may be able to help. 
Consult your manager. Your employer may be willing to reduce your hours, and salary, for the duration, in the hope of getting an EE with a master's degree at the end of it.
See if you can extend the deadlines on the project. This is the option I used to complete my master's degree in CS while working full time. I did some research in parallel with the courses, but not enough to finish. After the last exam I put all my study time into research, and took a few months extra to finish my project and submit the thesis.