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Solar panel efficiency for a lot of the most popular vendors is around 16-18%. Better panels made from better cells--that can still gather power in partial shade, are wired more efficently, have less reflective top coating, etc, all making them just overall more efficient--can be 25-30% more efficient than lesser made panels (adding 4-6% efficiency).
The current trend is towards flat flexible panels, though if you end up finding a good deal on efficient folding panels with a cheap charge controller on the back it's usually quite simple to cut it out of the loop and bypass it with your own wiring.
I have two terrific and super-efficient 120w folding panels (with Sunpower Maxeon cells) that I've done that with because I like my choice of charge controllers better, and prefer the controllers to be closer to the batteries for greater efficiency, not at the panel.
For best panel efficiency, it matters who
makes the cells and makes the panels (not just the vendor who is selling finished panels with their name on them). Not all panel vendors source the same cells/panels year after year, so what they sell this year may not be the same efficiency as what they sold last year, or will sell next year.
Here's a great page that may be of help with
residential solar power, IF you can find who actually makes the panels for your vendor of choice: Most Efficient Solar Panels On the Market - scroll down to see the current top 5.
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