110909-0959 EDT
I believe your have two major problems. Inrush or startup peak current (peak power), and what happens when the sun intensity is too low to operate even the steady state load. You are not concerned with kWh.
On startup you are limited by the inverter capability and its short time internal energy storage (capacitors). This is a peak current and duration problem. Any motor at startup time requires a current many times (like maybe 7 times) its steady state current.
If your system has batteries to allow 24,7 operation, then you may have the peak power capability if the inverter is large enough.
A small generator (meaning size relative to load) has the same problems.
If you had a soft start motor system, then the conditions would be somewhat different.
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