A hybrid supercapacitor, including at least one negative electrode that includes a statically capacitive active material, an electrochemical redox active material, or a mixture thereof, at least one positive electrode that includes a statically capacitive active material, an electrochemical redox active material, or a mixture thereof, at least one separator that is situated between the at least one negative electrode and the at least one positive electrode, and an electrolyte composition, with the condition that at least one electrode includes a statically capacitive active material, and at least one electrode includes an electrochemical redox active material, the electrolyte composition being a liquid electrolyte composition and including at least one liquid, aprotic, organic solvent, at least one conducting salt, and at least one additive.