An electrical distribution system for distributing electrical currents between an electrical distribution network and a domestic distribution installation, wherein the electrical distribution system comprises - a connection device arranged to distribute an electrical current in the installation, from sources comprising an electrical distribution network and at least one auxiliary power supply source (14, 16, 18, 20, 20a, 20b), to at least one electricity-consuming load (21, 22, 22a, 22b, 22c), - the connection device (36, 36', 36", 36ʺʺ) comprises at least one linear section, each linear section comprising a plurality of electrical conductors (35L, 35N) adapted to carry the electrical current along an electrical conduction path, - the system comprising a main switching apparatus, connected between the electrical distribution network and a first connection point, the main switching apparatus being configured to switch between two states respectively permitting or preventing the flow of electrical current from the electrical distribution network to the connection device (36, 36', 36′′′, 36′′′ʺ), - for the or each auxiliary electrical supply source (14, 16, 18, 20, 20a, 20b), respectively an auxiliary switching device (40, 42, 44, 40', 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′), connected between said auxiliary electrical supply source and a second connection point (62, 66, 70), each auxiliary switching device being configured to switch between two states respectively authorising or preventing the flow of electrical current from the associated auxiliary electrical supply source to the connection device (36, 36', 36′′′, 36′′′ʺ), - the electrical distribution system further comprising at least one load switching device (42, 42', 44, 46, 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′), connected between at least one load (30, 22, 22a, 22b, 22c) and the connection device, the load switching device being configured to switch between two states respectively authorising or preventing the flow of electrical current from the connection device to at least one electricity-consuming load (22, 22a, 22b, 22c), - the or each load switching apparatus (42, 42', 44, 46, 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′) being electrically connected to the connection device (36, 36', 36′′′, 36ʺʺ) at an intermediate connection point (70, 74) being electrically between said first connection point and the or each second connection point, the system being characterised in that the electrical conductors of the connection device are rated to carry a maximum current threshold electrical current, the maximum current threshold being equal to the maximum between the maximum electrical current supplied by the electrical distribution network and the sum of the maximum electrical currents supplied by the or each plurality of auxiliary electrical sources. - a connection device arranged to distribute an electrical current in the installation, from sources comprising an electrical distribution network and at least one auxiliary power supply source (14, 16, 18, 20, 20a, 20b), to at least one electricity-consuming load (21, 22, 22a, 22b, 22c), - the connection device (36, 36', 36", 36ʺʺ) comprises at least one linear section, each linear section comprising a plurality of electrical conductors (35L, 35N) adapted to carry the electrical current along an electrical conduction path, - the system comprising a main switching apparatus, connected between the electrical distribution network and a first connection point, the main switching apparatus being configured to switch between two states respectively permitting or preventing the flow of electrical current from the electrical distribution network to the connection device (36, 36', 36′′′, 36′′′ʺ), - for the or each auxiliary electrical supply source (14, 16, 18, 20, 20a, 20b), respectively an auxiliary switching device (40, 42, 44, 40', 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′), connected between said auxiliary electrical supply source and a second connection point (62, 66, 70), each auxiliary switching device being configured to switch between two states respectively authorising or preventing the flow of electrical current from the associated auxiliary electrical supply source to the connection device (36, 36', 36′′′, 36′′′ʺ), - the electrical distribution system further comprising at least one load switching device (42, 42', 44, 46, 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′), connected between at least one load (30, 22, 22a, 22b, 22c) and the connection device, the load switching device being configured to switch between two states respectively authorising or preventing the flow of electrical current from the connection device to at least one electricity-consuming load (22, 22a, 22b, 22c), - the or each load switching apparatus (42, 42', 44, 46, 44', 44a′′′, 44b′′′, 46', 46a′′′, 46b′′′, 46c′′′) being electrically connected to the connection device (36, 36', 36′′′, 36ʺʺ) at an intermediate connection point (70, 74) being electrically between said first connection point and the or each second connection point, the system being characterised in that the electrical conductors of the connection device are rated to carry a maximum current threshold electrical current, the maximum current threshold being equal to the maximum between the maximum electrical current supplied by the electrical distribution network and the sum of the maximum electrical currents supplied by the or each plurality of auxiliary electrical sources.