igure Q2 shows the schematic diagram of wind turbine which used in power p y using the exact solution method, it is found that the fundamental natural frequ or the system is wn = 0.6Vkt/J rad/s. Assume that J1 =J2 = J, and k;1 = k2 = kg

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Q2 Figure Q2 shows the schematic diagram of wind turbine which used in power plant.
By using the exact solution method, it is found that the fundamental natural frequency
for the system is wn = 0.6Vkt/J rad/s. Assume that J1 =J2 = J, and k1 = k2 = kt.
(a)
Establish the free body diagram and equation of motion in the matrix form for
gear box, generator, low-speed shaft and high-speed shaft.
(b) By using standard matrix iteration approximation method, determine the lowest
natural frequency in Hertz unit and its corresponding mode shape for Q2(a)
-0.1
answer if the initial trial vector is (2). Use J= 2, and k; = 6, and show up
to four (4) iterations calculation. Here, the value of X indicatinof the number
of your group.
(c) By using Rayleigh's method, predict the fundamental natural frequency in Hertz
unit for Q2(a) answer. Use the same initial trial vector in Q2(b).
(d)
Please justify which approximate method from Q2(b) and Q2(c) is more
accurate.
Transcribed Image Text:Q2 Figure Q2 shows the schematic diagram of wind turbine which used in power plant. By using the exact solution method, it is found that the fundamental natural frequency for the system is wn = 0.6Vkt/J rad/s. Assume that J1 =J2 = J, and k1 = k2 = kt. (a) Establish the free body diagram and equation of motion in the matrix form for gear box, generator, low-speed shaft and high-speed shaft. (b) By using standard matrix iteration approximation method, determine the lowest natural frequency in Hertz unit and its corresponding mode shape for Q2(a) -0.1 answer if the initial trial vector is (2). Use J= 2, and k; = 6, and show up to four (4) iterations calculation. Here, the value of X indicatinof the number of your group. (c) By using Rayleigh's method, predict the fundamental natural frequency in Hertz unit for Q2(a) answer. Use the same initial trial vector in Q2(b). (d) Please justify which approximate method from Q2(b) and Q2(c) is more accurate.
Rotor Hub
Low-speed shaft
Gearbox J1
ktl
- High-speed shaft
k,2
Nacelle
02
Tower
-Generator
J2
Figure Q2
Blade
Blade
Transcribed Image Text:Rotor Hub Low-speed shaft Gearbox J1 ktl - High-speed shaft k,2 Nacelle 02 Tower -Generator J2 Figure Q2 Blade Blade
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