Electric battery comprising a plurality of electric power storage modules, each module comprising a negative terminal (v-) and a positive terminal (v+) and the modules being series-coupled between a negative terminal (V-) and a positive terminal (V+) of the battery and, associated with each module, a power management circuit comprising a first stage comprising first, second, third, and fourth terminals, and a second stage comprising fifth, sixth, seventh, eighth, ninth, and tenth terminals, wherein: each management circuit has its third and fourth terminals respectively connected to its fifth and sixth terminals; each management circuit has its seventh and eighth terminals respectively connected to the positive terminal (v+) and to the negative terminal (v-) of the module with which it is associated; the first terminals of the different management circuits are connected to a same first terminal of application of an AC battery charge voltage; the second terminals of the different management circuits are connected to a same second terminal of application of the AC battery charge voltage; the ninth terminals of the different management circuits are connected to a same first auxiliary battery voltage supply terminal (VAUX+); the tenth terminals of the different management circuits are connected to a same second auxiliary battery voltage supply terminal (VAUX-); and in each management circuit, the first stage is adapted to converting an AC charge voltage (V AC) applied between the first and second terminals of the circuit into a first DC voltage (V DC1) applied between the third and fourth terminals of the circuit, and second stage is adapted to ensuring the transformation, comprising the isolation, of the first DC voltage (V DC1) into on the one hand a second DC voltage (V DC2) applied between the seventh and eighth terminals of the circuit, with a transformation ratio k, and on the other hand a third DC voltage (V DC3) applied between the ninth and tenth terminals of the circuit, with a transformation ratio k', the second stage being further adapted to ensuring the transformation, comprising the isolation, of the second DC voltage (V DC2) into the third DC voltage (V DC3) with a transformation ratio in the order of k'/k. each management circuit has its third and fourth terminals respectively connected to its fifth and sixth terminals; each management circuit has its seventh and eighth terminals respectively connected to the positive terminal (v+) and to the negative terminal (v-) of the module with which it is associated; the first terminals of the different management circuits are connected to a same first terminal of application of an AC battery charge voltage; the second terminals of the different management circuits are connected to a same second terminal of application of the AC battery charge voltage; the ninth terminals of the different management circuits are connected to a same first auxiliary battery voltage supply terminal (VAUX+); the tenth terminals of the different management circuits are connected to a same second auxiliary battery voltage supply terminal (VAUX-); and in each management circuit, the first stage is adapted to converting an AC charge voltage (V AC) applied between the first and second terminals of the circuit into a first DC voltage (V DC1) applied between the third and fourth terminals of the circuit, and second stage is adapted to ensuring the transformation, comprising the isolation, of the first DC voltage (V DC1) into on the one hand a second DC voltage (V DC2) applied between the seventh and eighth terminals of the circuit, with a transformation ratio k, and on the other hand a third DC voltage (V DC3) applied between the ninth and tenth terminals of the circuit, with a transformation ratio k', the second stage being further adapted to ensuring the transformation, comprising the isolation, of the second DC voltage (V DC2) into the third DC voltage (V DC3) with a transformation ratio in the order of k'/k.