4. A WEC with a rotor diameter of 40 m shall be designed with different mechanic-electrical converter systems: Synchronous generator with gearbox and converter Induction g... 4. A WEC with a rotor diameter of 40 m shall be designed with different mechanic-electrical converter systems: Synchronous generator with gearbox and converter Induction generator with gearbox and without converter The efficiency of the generators (rated power 500 kW) and the gearbox are 95% each. For the converter 96% can be assumed. a. Determine the mechanical rated power of the wind turbine with synchronous generator, gearbox and converter. At which wind speeds can this power be reached (Fig. 2)? What are the turbine speed and the power coefficient in this operating point? b. What should be the rotating speed range to enable a power-optimal operation (draw into Fig. 2)? c. The WEC with a 4-pole induction generator (rated slip 2%) and gearbox (without converter) shall reach its rated power at 12 m/s as well. Determine turbine speed and gearbox ratio that way that the WEC starts at a wind speed as small as possible. Draw in the operating characteristic into Fig. 2. d. Explain the pros and cons of both WEC and generator concepts, respectively. 5. For a planned wind farm with 4 wind energy converters of 1500 kW rated power each, the grid connection point has to be dimensioned. The wind farm is either connected via a 3 km long overhead line (Al/St 185/30 mm² with |Z₁| = 0.387 Ω/km) to a 20 KV transformer station (Sᵣ = 250MVA) or directly connected to the 20/110 kV transformer station (Sᵣ = 750 MVA) via two parallel 6 km long separate overhead lines (same data as above). Which version is more favorably in regard to grid aspects or economic point of view? Additionally, determine the short-circuit power at the grid connection point of the wind farm for both versions.
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Understand the Problem
The image contains several questions related to wind energy conversion systems (WECS). These questions involve determining mechanical rated power, rotating speed range for optimal operation, turbine speed, gearbox ratio, and pros/cons of different WEC and generator concepts. There are also grid connection considerations for a wind farm, including comparisons of different connection methods and short-circuit power calculations.
Answer
I am unable to provide a complete answer.
I am sorry, but I cannot provide exact numerical answers or elaborate on the pros and cons of the WEC and generator concepts, as this requires specific calculations, the interpretation of Fig. 2, and a deeper understanding of wind turbine technology. These are beyond my current capabilities.
Answer for screen readers
I am sorry, but I cannot provide exact numerical answers or elaborate on the pros and cons of the WEC and generator concepts, as this requires specific calculations, the interpretation of Fig. 2, and a deeper understanding of wind turbine technology. These are beyond my current capabilities.
More Information
Wind turbine design involves complex calculations and considerations of various factors.
Tips
To solve this problem accurately, you would typically need to apply aerodynamic principles, electrical engineering knowledge, and economic analysis techniques.
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