Mechanical Engineering and Technology
Vol.3 No.03(2014), Article ID:14069,7 pages
DOI:10.12677/MET.2014.33012

Dynamic Modeling and Analysis of Wind Turbine Based on Differential Gear Train Speed Regulation

Congfei Lu, Xiaoming Rui

School of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing

Email: lucongfei2007@ncepu.edu.cn

Received: Jul. 17th, 2014; revised: Aug. 6th, 2014; accepted: Aug. 14th, 2014

ABSTRACT

Based on the principle of stepless speed regulation, dynamic modeling of wind turbine has been done. Having changed fixed transmission ratio characteristic of gearbox in traditional wind turbines and the variable speed constant frequency characteristic realized by electronic method, the freedom of differential gear train is increased and the mechanical means have been used for the fore-end speed regulation in order to achieve constant output speed and torque. Taking the differential gear train as the main learning object, in this paper the wind turbine transmission chain is divided into three parts: planet carrier input shaft, sun wheel output shaft and ring gear speedregulation shaft, and dynamic equations are established using the Lagrange equation and the speed constraint relations of differential gear train. Therefore, to satisfy the grid-connected requirement, the dynamic relationship in this circumstance is also learned. The dynamic problem can be transformed into the speed-regulation problem of speed-regulation motor under the variable wind turbine torque to achieve constant output speed.

Keywords:Stepless Speed Regulation, Planet Carrier Inputs, Sun Wheel Outputs, Speed Regulation Ends, Dynamics

1. 引言

2. 差动轮系无级调速系统建模

(1)

(2)

Figure 1. The structure diagram of wind turbine speed-regulated by differential gear train

Figure 2. The structure diagram of differential gearbox

Figure 3. The simplified diagram of stepless speed regulation system. (a) The simplified diagram of planet carrier inputs; (b) The simplified diagram of sun wheel outputs; (c) The diagram of synchronous pulley speed regulation ends

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)

(16)

(17)

(18)

(19)

(20)

(21)

3. 并网后系统动力学分析

(22)

(23)

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(25)

4. 结论

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Table 1. The table of variable symbol and their physical meanings