NOVELTY - The electrical power generator (100) comprises fuel cells, a housing (102) surrounding the fuel cells, a fuel chamber enclosing a hydrogen generating fuel, recharging valves in contact with the fuel chamber, a cathode electrode positioned near the recharging valve, and a sleeve contacting a portion of an outer surface of the housing. The fuel chamber includes porous spacers, and the fuel comprises a metal hydride. The sleeve comprises an oxygen permeable membrane. The recharging valves comprise: a valve stem in a valve seat actuated or assisted by springs; and compression members.    USE - Used as a self-regulating and rechargeable electrical power generator.    ADVANTAGE - The self-regulating and rechargeable electrical power generator is capable of effectively providing bursts of power without deviation in pressure.    DETAILED DESCRIPTION - The electrical power generator (100) comprises fuel cells, a housing (102) surrounding the fuel cells, a fuel chamber enclosing a hydrogen generating fuel, recharging valves in contact with the fuel chamber, a cathode electrode positioned near the recharging valve, and a sleeve contacting a portion of an outer surface of the housing. The fuel chamber includes porous spacers, and the fuel comprises a metal hydride. The sleeve comprises an oxygen permeable membrane. The recharging valves comprise: a valve stem in a valve seat actuated or assisted by springs; and compression members that surround the recharging valve and are capable of forming a seal between the valve stem and the valve seat such that attachment to a hydrogen recharger compresses the springs and breaks the seal between the O-ring and anode electrode for opening the recharging valve. The compression member is a compressable gasket (120) and/or an O-ring. The valve stem and valve seat are made of steel. The electrical power generator has dimensions of an AA, AAA, C, or D alkaline battery. INDEPENDENT CLAIMS are included for:    (1) a method for recharging an electrical power generator; and    (2) a recharging valve for recharging a hydrogen fuel chamber.    DESCRIPTION OF DRAWING(S) - The diagram shows a cross-sectional view of an electrical power generator.    Electrical power generator (100)    Housing (102)    Fuel cell (104)    Fuel storage substance (108)    Compressable gasket. (120)