An electrodialytic battery system comprises an electrodialysis apparatus having first and second reservoirs, wherein concentration of an input solution in the first reservoir increases and concentration of the input solution decreases in the second reservoir during an operation mode. A first redox-active electrolyte chamber comprises a first electrode and a first solution of a first redox-active electrolyte material and has a reversible redox reaction with the first electrolyte material to drive an ion into the first reservoir. A second redox-active electrolyte chamber comprises a second electrode and a second solution of a redox-active electrolyte material and has a reversible redox reaction with the second electrolyte material to accept an ion from the second reservoir. A first type of membrane is disposed between the first and second reservoirs, and a second type of membrane, different from the first type, is disposed between the respective electrode chambers and reservoirs.