14. A doubly fed induction machine is often used as thegenerator in wind turbine generation schemes, as shown in Figure13.31. Here the slip rings are fed through a bidirectionalconverter which can provide both real and reactive power to therotor windings. Assume that the power electronics interacts withthe machine (and power bus) terminals at unity power factor (thatis, the reactive power either drawn or supplied by the right-handend of the converter is zero).
The characteristics of the machine are:
14 A Doubly Fed Induction Machine Is Often Used As The Generator In Wind Turbine Generation Schemes As Shown In Figure 1 (54.16 KiB) Viewed 16 times
Assume that the load is drawing ρ = 750 kW, Q = 0. Ignoringlosses in the system, find and plot the following quantities over aspeed range of between 70% and 130% of synchronous:
(a) Power out of the stator winding
(b) Power in to the slip rings (and rotor winding)
(c) Power delivered by the wind turbine
Number of poles Armature phase self inductance Armature phase-to-phase mutual inductance Rotor phase self inductance Rotor phase-to-phase mutual inductance Rotor to stator (Peak) mutual inductance Effective transformer turns ratio Synchronous rotational speed Terminal voltage (RMS, line-line) Rated power Frequency 2p La Lab LA LAB LaA N₂ N₂ V₂ 4 5.6 mH -2.8 mH 50.4 mH -25.2 mH 16.59 mH 3 1800 r.p.m. 690 V 1500 KVA 60 Hz
Rotor Connection Generator *-*% Converters Stator Connection Gear Box To Utility Figure 13.31 Wind turbine generator setup Turbine
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