风力机数学模型之风能利用系数Cp
C_P.psc
考虑转换效率![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"21","h":"25","dataType":"gif","c":"word/media/image1.png"})
，风力机输出的机械能为：
![](https://wkrtcs.bdimg.com/rtcs/image?w=155&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"155","h":"27","dataType":"gif","c":"word/media/image2.png"})
对于不同桨叶特性的变桨距风电机组，![](https://wkrtcs.bdimg.com/rtcs/image?w=61&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"61","h":"25","dataType":"gif","c":"word/media/image3.png"})
特性可近似表示为多种形式：
① PSCAD中的风能利用系数为：![](https://wkrtcs.bdimg.com/rtcs/image?w=215&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"215","h":"27","dataType":"gif","c":"word/media/image4.png"})
其中![](https://wkrtcs.bdimg.com/rtcs/image?w=99&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"99","h":"41","dataType":"gif","c":"word/media/image5.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=108&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"108","h":"78","dataType":"emf","c":"word/media/image6.png"})
Cp数学模型
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image8.png","imgOriW":576,"imgOriH":288})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image9.png","imgOriW":576,"imgOriH":288})
②![](https://wkrtcs.bdimg.com/rtcs/image?w=245&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"245","h":"52","dataType":"gif","c":"word/media/image10.png"})
其中，![](https://wkrtcs.bdimg.com/rtcs/image?w=155&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"155","h":"45","dataType":"gif","c":"word/media/image11.png"})
，
![](https://wkrtcs.bdimg.com/rtcs/image?w=108&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"108","h":"78","dataType":"emf","c":"word/media/image13.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image15.png","imgOriW":576,"imgOriH":288})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image16.png","imgOriW":576,"imgOriH":288})
③对于变桨距型风力发电机，特性可近似表示为：
![](https://wkrtcs.bdimg.com/rtcs/image?w=284&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"284","h":"51","dataType":"gif","c":"word/media/image17.png"})
其中![](https://wkrtcs.bdimg.com/rtcs/image?w=23&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"23","h":"25","dataType":"gif","c":"word/media/image18.png"})
为叶片设计常数，一般取1-3。特性一般是由风力机制造厂通过实验给出，如果得不到的实际数据，对于变桨距风力发电机组可用上式来近似表示。
![](https://wkrtcs.bdimg.com/rtcs/image?w=108&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"108","h":"78","dataType":"emf","c":"word/media/image19.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=305&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"305","h":"180","dataType":"png","c":"word/media/image21.png","imgOriW":305,"imgOriH":180})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image22.png","imgOriW":576,"imgOriH":288})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image23.png","imgOriW":576,"imgOriH":288})
④![](https://wkrtcs.bdimg.com/rtcs/image?w=268&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"268","h":"52","dataType":"gif","c":"word/media/image24.png"})
其中，，，，，，，，。R为叶片长度（m），为风机轮毂的角速度（rad/s）。当β=0，λ=8.1时，有最大值0.48。
![](https://wkrtcs.bdimg.com/rtcs/image?w=108&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"108","h":"78","dataType":"emf","c":"word/media/image32.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=509&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"509","h":"74","dataType":"png","c":"word/media/image34.png","imgOriW":509,"imgOriH":74})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image35.png","imgOriW":576,"imgOriH":288})
![](https://wkrtcs.bdimg.com/rtcs/image?w=553&md5sum=a2ecad2fd944d7f9b83d030214157636&sign=9751eefa25&rtcs_flag=1&rtcs_ver=3.2&l=webapp&bucketNum=39&ipr={"t":"img","w":"553","h":"276","dataType":"png","c":"word/media/image36.png","imgOriW":576,"imgOriH":288})
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