you can find a practical experiment that measures and monitor the power consumption of a micro EDM in the following paper 

http://link.springer.com/article/10.1007%2Fs00170-014-6725-3

I thing it is possible using the instrument "Power Quality Analyzer"

It depends on how detailed you need the figures. Tracing the supply power is easy using a current logger. However, of you need subunit level power consumption that won't work. 

Check this out.

http://link.springer.com/chapter/10.1007/978-3-642-19692-8_1#page-1