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A supercap with a capacitance of 500 F, starting initially at nominal voltage 48 V, is discharged with 5 current pulses of 240 A for 10 seconds, and breaks between the pulses of 10 seconds. Subsequently, the supercap is charged again with 5 current pulses of 240 A for 10 seconds, and breaks between the pulses of 10 seconds. In the end, the supercap is in no-load condition to reveal self-discharge effects.

Note that self-discharge is set to an unrealistic high value, to show self-discharge within a rather short time span.
The other parameters of the supercap is set to estimated but realistic values:

• C = 500 F
• Vnom = 48 V
• Qnom = C*Vnom = 24,000 As
• Ri = 2 mΩ

Simulate and plot terminal voltage supercap.v.

Plotting energy.y, it is remarkable that first energy is delivered by the supercap, but then due to the losses more energy is consumed to recharge the supercap.