Putting a large supercap in parallel with the battery does not change the terminal characteristics. You still would have low voltage trips at 10. The charge stored in a capacitor is: W = 1/2 * C * V^2.
The research presented in this paper proposes a hybrid energy storage system that combines both electrolytic double-layer capacitors (EDLCs) also known as supercapacitors (SCs) and lithium-ion capacitors (LiCs) also known as hybrid capacitors (HCs) with a battery through a multiple.
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