The dielectric barrier discharge (DBD) plasma actuator has been intensively investigated by researchers worldwide due to its simple structure, rapid response, and lack of mechanical moving parts. However, the limited discharge extension and uncontrollable induced jet direction restrict its engineering application. The tri-electrode sliding dielectric barrier discharge (TES-DBD) plasma actuator can overcome the above defects. However, the TES-DBD plasma actuator must be simultaneously driven by AC and DC power supplies, and the complex circuit connections and interactions between multiple power supplies increase energy consumption and system complexity. An integrated plasma supply suitable for the TES-DBD plasma actuators is designed to overcome the co-driven of multiple power supplies. The methodology encompasses designing the circuit topology for the TES-DBD power supply, followed by the simulation and validation of its operating principles utilizing Multisim software. The power supply's operational performance is assessed by comprehensively analyzing the electrical, thermal, and aerodynamic properties inherent to TES-DBD plasma actuation.