#75 in Power inverters
Reddit mentions of COTEK SK200-124 200W Pure Sine Wave Inverter - Input 24VDC
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We found 1 Reddit mentions of COTEK SK200-124 200W Pure Sine Wave Inverter - Input 24VDC. Here are the top ones.
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Your charge controller is too small and you need an MPPT charge controller.
Forget the 100w pv modules look for 250w modules.
Battery is too small.
Inverter is too big, look for a 200w
If you are doing this for fun, fine. But if you are planning to save money just forget about it. An off grid system will not save you any money.
Edit: add more detail:
to clarify some. Your pump uses 1.728 kWh/day and your battery has just 0.36kWh of storage. Worse you don't want to drain the battery more than 50%.
http://everydaycalculation.com/ah-kilowatt-hour.php
So what you will need is something along the lines of this:
https://www.amazon.com/NPP-Rechargeable-Sealed-Battery-Terminals/dp/B01J94RBDG/ref=sr_1_sc_3?s=electronics&ie=UTF8&qid=1504614762&sr=1-3-spell&keywords=deep+cyclebattery+200ah
The Charge Controller is PWM and rated for 30amps. This is the output amps so at the battery voltage of 12V in your case. 30A X 12V = 360watts
What you need is something like this that is MPPT:
https://www.amazon.com/Renogy-Commander-Solar-Charge-Controller/dp/B01DCTMAK8/ref=sr_1_16?s=lawn-garden&ie=UTF8&qid=1504615016&sr=1-16&keywords=mppt+solar+charge+controller
An MPPT CC can handle higher input voltages so you can make a string of higher voltage modules, other wise you have to keep them all in parallel and use fuses between the strings. The efficiency is higher as well.
Now you could make the whole thing simpler by going with a 24V battery which would require an inverter like this: https://www.amazon.com/COTEK-SK200-124-200W-Pure-Inverter/dp/B006W9I7S0/ref=sr_1_6?s=lawn-garden&ie=UTF8&qid=1504615205&sr=1-6&keywords=200w+inverter+24V