Full exam for Electric Conversion From Green Sources of Energy in the Energy Engineering degree programme at Politecnico di Milano. The document covers: ELECTRIC CONVERSION FROM GREEN SOURCES OF ENERGY Prof. Alberto Dolara Numerical exercise 1 < 18 February 2022 > Consider a wind turbine in the full converter configuration with a Permanent Magnet Synchronous Generator (PMSG) in the figure below. The power processor is composed
Full exam for Electric Conversion From Green Sources of Energy in the Energy Engineering degree programme at Politecnico di Milano. The document covers: ELECTRIC CONVERSION FROM GREEN SOURCES OF ENERGY Prof. Alberto Dolara Numerical exercise 1 < 18 February 2022 > Consider a wind turbine in the full converter configuration with a Permanent Magnet Synchronous Generator (PMSG) in the figure below. The power processor is composed
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ELECTRIC CONVERSION FROM GREEN SOURCES OF ENERGY Prof. Alberto Dolara Numerical exercise 1 < 18 February 2022 > Consider a wind turbine in the full converter configuration with a Permanent Magnet Synchronous Generator (PMSG) in the figure below. The power processor is composed by the cascade connection of a AC/DC three-phase thyristor controlled rectifier and a three-phase full-bridge PWM inverter , sharing a common DC-link. The output terminals of the wind turbine are connected to the Medium Voltage (MV) grid by means of three-phase transformer . The turbine shaft is mechanically connected to the PMSG with a gearbox that multiplies the turbine speed (Ωt). The main ratings of this power conversion system are: ► PMSG number of poles, p 48 poles ► PMSG speed/voltage ratio, kV 1.15 V/rpm ( Eline-to-neutral,RMS = kV ∙ Ωm) ► PMSG synchronous reactance, Xs 0.1 Ω @50 Hz ► Wind turbine gearbox ratio, τG 64 ► Transformer: rated low voltage, VLV,n 330 V ► Transformer: rated high voltage, VHV,n 15 kV ► Transformer: rated frequency, fn 50 Hz Calculate: 1. The minimum turbine speed ( Ωt) that allows the inverter to operate in linear region. Assume ideal converters. Now assume the following operating conditions: ► DC-link voltage, VDC 650 V ► MV grid voltage, VMV 15.3 kV ► Turbine speed, Ωt 4.6 rpm ► Inverter input power, Pinv 240 kW Calculate: 2. The PMSG output frequency, fPMSG . 3. The firing angle, α, of the thyristor controlled rectifier. Take into a ccount the voltage drop due to source inductance. 4. The inverter amplitude modulation ratio, ma. 2 Solution 1. Minimum turbine speed (Ω t) that allows the inverter to operate in linear region. Assume ideal converters. The minimum DC-link voltage that allows the inverter to operate in the linear region is: , , 2 2 538.89V 3 DC min…
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