I took a chance and googled "fine power" - it does appear to be a term that's used within electronics. (Not so easy to find among the googles though - there's probably a better way of searching than I used).

"This small class showed a keen interest in ML2PLUS's possibilities for studying fine power electronics for motion control of small motors and for surveying historically important technologies"

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Note added at 21 hrs (2006-03-02 07:00:24 GMT)
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"For the future, micro-chains, first developed in the 1980s, will become an increasingly significant sector of the market with the growth in robotics and machines using fine power, electronic and pneumatic lines to operate grippers and robots."

http://www.engineeringtalk.com/news/mlp/mlp108.html