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This work presents a Three-Phase Boost Rectifier with peak current mode control operated in Discontinuous Conduction Mode working as the input stage of wind power systems based on Permanent Magnet Synchronous Generators with variable speed operation. It is shown that the DCM operation significantly reduces the Total Harmonics Distortion of the currents in the Permanent Magnet Synchronous Generator, so that the vibrations and mechanical stress of the generator is minimized. The characteristics of the DCM Boost rectifier are studied considering: 1) The resistance in series of the inductors; 2) The modeling and adjustment of the current injected control yielding a stable loop; 3) The design of an input filter that reduces the switching noise in the currents of the generator. The Three-Phase Boost Rectifier with input filter under study, with the following values: Output Power of the generator: P = 2 kW Output Voltage of the rectifier: Vo = 800 V. Output voltage range of the generator: Vab= 104 416 Vrms Inductance of one phase of the generator: Lga=Lgb=Lgc=25 mH Resistance of one phase of the generator: Rga= Rgb= Rgb= 5 Number of poles: np = 12 Nominal Current: Inom = 4.87 Arms Speed Range of the generator: nm = 150 – 600 rpm Fig. 1 shows the Bode Diagram of the transfer function from the control voltage to the inductor current, Gic(s)=iL(s)/vc(s), for values of the modulation index (mc) between 2 and 7, with nm = 600 rpm, L = 750 H, P = 2 kW and Ri = 0.01 . In Fig. 1 it is observed that for mc = 2 and mc = 3 the current loop is unstable because the phase of Gic(s) undergoes a positive phase transition corresponding to complex conjugated highfrequency poles. This means that the closed loop poles are located in the complex right half plane, yielding an unstable current loop. With mc ≥ 4, it is observed that the control loop is stable because the phase transition of Gic(s) is negative. Selecting mc= 4, resulting Fm = 0.1666 for this rectifier. Fig. 1. Transfer Function of the Inductor ́s Current in relation of the Control Voltage Gic(s). After the design of the input filter and PCC control, the behavior of the system has been simulated by means of PSIM software. The complete circuit is shown in Fig. 2. Fig. 2. Three Phase Boost Rectifier in DCM with input filter and PCC Control. The simulated values are: Boost Inductance associated to each phase: La, Lb, Lc = 375 μH Resistance in series associated to the Boost inductor in each phase: RLa, RLb, RLc, ≈ 100 m . Capacitance of the filter: C1, C2, C3 = 2.2 μF. Current sense gain: Ri = 0.01 . Slope of the stabilization ramp: Se = 22.503 V/ms.

Low distortion boost rectifier discontinuous conduction mode with peak current mode control for wind power systems