The goal of “carbon peaking and carbon neutrality” puts forward higher requirements for low-carbon operation of power system considering security and stability. The large-scale access of new energy easily leads to problems such as uneven distribution of power flow and electromechanical oscillation. As the representative device of the third-generation flexible AC transmission system (FACTS), interline power flow controller (IPFC) is greatly capable of power flow control, damping control and transient stability control, but the main objectives of IPFC vary considerably under different working conditions, and there is contradiction between the goals. First, based on the improved relative gain matrix (MRGA) theory, the system state equation with IPFC was linearized, the interaction between targets was quantitatively analyzed, the superposition position of the additional controller was selected, and the interaction between steady-state control and dynamic control was weakened. Then, for the transient process, combined with fuzzy logic theory, the IPFC multi-objective coordinated controller was designed. Finally, the controller parameters were optimized using the particle swarm algorithm. While improving the transient stability and small disturbance stability, the controller reduced the power flow overshoot during the transient process and enhanced the coordinated control ability of IPFC under different system operating conditions. It was helpful to solve the problems of energy transmission and consumption, safety and stability control caused by the large load, low inertia, and random fluctuations of the power system under the “dual carbon” background.