Author: Anonymous

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Problem 2: (25 points) The parameters of a doubly fed induction generator are given below. The stator is connected to a three-phase grid at 650 V RMS (line-line) and 60 Hz. Stator resistance: Rs = 0 (neglected for ease of calculation) Rotor resistance: Rr = 0.004 Ω Stator leakage inductance: Lls = 0.1 mH Rotor leakage inductance: Llr = 0.1 mH Magnetizing inductance: Lm = 1.5 mH Number of poles: 6 Stator-rotor turns ratio: 1:1 It is given that the system operates at a slip s = -0.1 and the stator delivers 1 MW to the grid at unity power factor. Draw the per-phase equivalent circuit corresponding to the given operating condition and parameters. Calculate the rotor speed, ωr. Calculate the following four phasor quantities at the given operating condition: Is (stator current), Im (magnetizing current), Ir’ (rotor current), and Vr’ (RSC voltage). Calculate the active power and reactive power processed by the rotor side converter.

Problem 4: (a) (15 points) Consider a 2-pole PMSM wind generator system delivering 1 MW with a rotor speed of 3000 RPM. Its parameters are Lm = 1 mH, Lls = 0.05 mH, and Rs = 0.002 ohms. The d axis is aligned with the rotor position, which is given to be -90° at t = 0. The flux linkage in the d-axis winding due to the rotor magnets, λfd = 1.5 Wb-turns. Assume kE = 1. Draw the per-phase equivalent circuit Calculate the phase a current Calculate phase ‘b’ and phase ‘c’ currents (b) (10 points) Briefly explain (a short paragraph or a few bullet points) each of the following: Grid forming (GFM) inverter IEEE 2800 standard

Problem 3: (25 points) The parameters of a DFIG are given below. The stator is connected to a three-phase grid at 650 V RMS (line-line) and 60 Hz. The rotor speed (mech) is 1080 RPM and the wind power captured is 0.75 MW. The stator reactive power is controlled to be zero. You may neglect all losses except the losses in the rotor resistance. The turns-ratio between the stator and rotor windings can be assumed to be 1:1. Assume grid voltage orientation where the d axis is aligned to the grid voltage space vector. Neglect stator resistance and stator leakage inductance. Rotor resistance, Rr: 0.003

Problem 2: (25 points) The parameters of a doubly fed induction generator are given below. The stator is connected to a three-phase grid at 650 V RMS (line-line) and 60 Hz. Stator resistance: Rs = 0 (neglected for ease of calculation) Rotor resistance: Rr = 0.004 Ω Stator leakage inductance: Lls = 0.1 mH Rotor leakage inductance: Llr = 0.1 mH Magnetizing inductance: Lm = 1.5 mH Number of poles: 6 Stator-rotor turns ratio: 1:1 It is given that the system operates at a slip s = -0.1 and the stator delivers 1 MW to the grid at unity power factor. Draw the per-phase equivalent circuit corresponding to the given operating condition and parameters. Calculate the rotor speed, ωr. Calculate the following four phasor quantities at the given operating condition: Is (stator current), Im (magnetizing current), Ir’ (rotor current), and Vr’ (RSC voltage). Calculate the active power and reactive power processed by the rotor side converter.

Problem 4: (a) (15 points) Consider a 2-pole PMSM wind generator system delivering 1 MW with a rotor speed of 3000 RPM. Its parameters are Lm = 1 mH, Lls = 0.05 mH, and Rs = 0.002 ohms. The d axis is aligned with the rotor position, which is given to be -90° at t = 0. The flux linkage in the d-axis winding due to the rotor magnets, λfd = 1.5 Wb-turns. Assume kE = 1. Draw the per-phase equivalent circuit Calculate the phase a current Calculate phase ‘b’ and phase ‘c’ currents (b) (10 points) Briefly explain (a short paragraph or a few bullet points) each of the following: Grid forming (GFM) inverter IEEE 2800 standard

Problem 3: (25 points) The parameters of a DFIG are given below. The stator is connected to a three-phase grid at 650 V RMS (line-line) and 60 Hz. The rotor speed (mech) is 1080 RPM and the wind power captured is 0.75 MW. The stator reactive power is controlled to be zero. You may neglect all losses except the losses in the rotor resistance. The turns-ratio between the stator and rotor windings can be assumed to be 1:1. Assume grid voltage orientation where the d axis is aligned to the grid voltage space vector. Neglect stator resistance and stator leakage inductance. Rotor resistance, Rr: 0.003

Problem 2: (25 points) The parameters of a doubly fed induction generator are given below. The stator is connected to a three-phase grid at 650 V RMS (line-line) and 60 Hz. Stator resistance: Rs = 0 (neglected for ease of calculation) Rotor resistance: Rr = 0.004 Ω Stator leakage inductance: Lls = 0.1 mH Rotor leakage inductance: Llr = 0.1 mH Magnetizing inductance: Lm = 1.5 mH Number of poles: 6 Stator-rotor turns ratio: 1:1 It is given that the system operates at a slip s = -0.1 and the stator delivers 1 MW to the grid at unity power factor. Draw the per-phase equivalent circuit corresponding to the given operating condition and parameters. Calculate the rotor speed, ωr. Calculate the following four phasor quantities at the given operating condition: Is (stator current), Im (magnetizing current), Ir’ (rotor current), and Vr’ (RSC voltage). Calculate the active power and reactive power processed by the rotor side converter.

Problem 4: (a) (15 points) Consider a 2-pole PMSM wind generator system delivering 1 MW with a rotor speed of 3000 RPM. Its parameters are Lm = 1 mH, Lls = 0.05 mH, and Rs = 0.002 ohms. The d axis is aligned with the rotor position, which is given to be -90° at t = 0. The flux linkage in the d-axis winding due to the rotor magnets, λfd = 1.5 Wb-turns. Assume kE = 1. Draw the per-phase equivalent circuit Calculate the phase a current Calculate phase ‘b’ and phase ‘c’ currents (b) (10 points) Briefly explain (a short paragraph or a few bullet points) each of the following: Grid forming (GFM) inverter IEEE 2800 standard