Back-to-Back converter; linear and non linear control laws; Power Flow Control AC systems; Active power; Back-to-back converter; Bidirectional power flow; Control laws; Control objectives; Control schemes; Current component; DC-link voltages; Decoupled model; Non linear control; Power flow controls; Power flow management; Power supply; Reactive components; Synchronous reference frame; Voltage source converters; Control theory; Energy conversion; Feedback linearization; Flow control; Linear control systems; Nonlinear feedback; Power converters; Reactive power; DC power transmission