A method of controlling an electrical transmission network, wherein the transmission network comprises a plurality of high-voltage DC lines and n AC/DC converters (21, 22, 23, 24, 25) identified by a respective index i, with n being greater than or equal to 3, said converters being interconnected by said high-voltage DC lines, each of said AC/DC converters being connected on the one hand to an AC voltage bus identified by a respective index i and on the other hand to one of said high-voltage DC lines, the method comprising: - each of the converters of index i applies a power setpoint Pdc i with Pdc i = ∑ j = 1 n P conx ij where i ≠ j and P conx ij = − P conx ji. j being an index designating any AC voltage bus and any converter connected thereto among the number n and different from the AC voltage bus i and from said converter connected thereto, Pconx ij being a power reference exchanged between the bus of index i and the bus of index j via the electrical transmission network, with n the number of said converters connected to said AC voltage buses; each converter of index i storing for each of said other converters, the maximum power reference sent P Conx ij Max where i ≠ j sent from bus i to bus j via the electrical transmission network; each converter of index i storing for each of the other converters, the maximum power reference received P Conx ij min where i ≠ j received by bus i from bus j via the electrical transmission network; - each converter of index i defining the power reference Pconx ij so that it observes the stored values of maximum power sent and maximum power received. - each of the converters of index i applies a power setpoint Pdc i with Pdc i = ∑ j = 1 n P conx ij where i ≠ j and P conx ij = − P conx ji. j being an index designating any AC voltage bus and any converter connected thereto among the number n and different from the AC voltage bus i and from said converter connected thereto, Pconx ij being a power reference exchanged between the bus of index i and the bus of index j via the electrical transmission network, with n the number of said converters connected to said AC voltage buses; each converter of index i storing for each of said other converters, the maximum power reference sent P Conx ij Max where i ≠ j sent from bus i to bus j via the electrical transmission network; each converter of index i storing for each of the other converters, the maximum power reference received P Conx ij min where i ≠ j received by bus i from bus j via the electrical transmission network; j being an index designating any AC voltage bus and any converter connected thereto among the number n and different from the AC voltage bus i and from said converter connected thereto, Pconx ij being a power reference exchanged between the bus of index i and the bus of index j via the electrical transmission network, with n the number of said converters connected to said AC voltage buses; each converter of index i storing for each of said other converters, the maximum power reference sent P Conx ij Max where i ≠ j sent from bus i to bus j via the electrical transmission network; each converter of index i storing for each of the other converters, the maximum power reference received P Conx ij min where i ≠ j received by bus i from bus j via the electrical transmission network; - each converter of index i defining the power reference Pconx ij so that it observes the stored values of maximum power sent and maximum power received.