Temperature management system intended for a vehicle comprising at least one refrigerant loop , a first heat-transfer fluid circuit and a second heat-transfer fluid circuit , - the refrigerant loop comprising at least a first heat exchanger and a second heat exchanger both configured to perform an exchange of heat between the refrigerant and the heat-transfer fluid circulating respectively in the first heat-transfer fluid circuit or in the second heat-transfer fluid circuit , the refrigerant loop comprising a third heat exchanger configured to perform an exchange of heat between the refrigerant and a flow (FA2) of interior air sent into the interior of the vehicle, - the first heat-transfer fluid circuit comprising the first heat exchanger and at least one primary radiator configured to perform an exchange of heat between a flow (FA1) of air external to the interior of the vehicle and the heat-transfer fluid, - the second heat-transfer fluid circuit comprising the second heat exchanger and at least one secondary radiator configured to perform an exchange of heat between the flow (FA1) of exterior air and the heat-transfer fluid, the primary radiator being positioned downstream of the secondary radiator in a direction (S4) of circulation of the flow (FA1) of exterior air through said radiators , in which temperature management system the refrigerant loop is a closed loop, characterized in that said closed loop comprises at least a main leg on which at least a compression device , the first heat exchanger , the second heat exchanger , at least one expansion member referred to as primary expansion member , and at least the third heat exchanger are successively arranged. - the refrigerant loop comprising at least a first heat exchanger and a second heat exchanger both configured to perform an exchange of heat between the refrigerant and the heat-transfer fluid circulating respectively in the first heat-transfer fluid circuit or in the second heat-transfer fluid circuit , the refrigerant loop comprising a third heat exchanger configured to perform an exchange of heat between the refrigerant and a flow (FA2) of interior air sent into the interior of the vehicle, - the first heat-transfer fluid circuit comprising the first heat exchanger and at least one primary radiator configured to perform an exchange of heat between a flow (FA1) of air external to the interior of the vehicle and the heat-transfer fluid, - the second heat-transfer fluid circuit comprising the second heat exchanger and at least one secondary radiator configured to perform an exchange of heat between the flow (FA1) of exterior air and the heat-transfer fluid, the primary radiator being positioned downstream of the secondary radiator in a direction (S4) of circulation of the flow (FA1) of exterior air through said radiators , in which temperature management system the refrigerant loop is a closed loop, characterized in that said closed loop comprises at least a main leg on which at least a compression device , the first heat exchanger , the second heat exchanger , at least one expansion member referred to as primary expansion member , and at least the third heat exchanger are successively arranged. the primary radiator being positioned downstream of the secondary radiator in a direction (S4) of circulation of the flow (FA1) of exterior air through said radiators , in which temperature management system the refrigerant loop is a closed loop, characterized in that said closed loop comprises at least a main leg on which at least a compression device , the first heat exchanger , the second heat exchanger , at least one expansion member referred to as primary expansion member , and at least the third heat exchanger are successively arranged. <EOS>