Alkaline storage battery system with partial charge-discharge

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In the alkaline storage battery system, zinc (Zn) is added to a nickel positive electrode 11 with an addition amount of 8% by mass or less with respect to the mass of nickel. A hydrogen storage alloy of a negative electrode 12 has an A5B19 type crystal structure, with a stoichiometric ratio (B/A) representing the molar ratio of component B to component A ranging from 3.6 to 3.9, inclusive, and is represented by a general formula of Lnl-xMgxNiy-aMa (where Ln is an element selected from rare earth elements including Y, and M is at least one kind of element selected from Al, Co, Mn, and Zn) in which the content of the element M is 1.0% by mass or less. An electrolyte has a concentration of 6.5 mol/L or less and contains Li of 0.3 mol/L or more, and the alkaline storage battery system is arranged to control partial charging discharging.