BLDC电压和运动方程

傷城~ 2021-12-15 04:07 317阅读 0赞

变量说明：

<table style="border-collapse:collapse;"> 
 <tbody> 
 <tr> 
 <td>R</td> 
 <td>内阻</td> 
 </tr> 
 <tr> 
 <td>I</td> 
 <td>相电流</td> 
 </tr> 
 <tr> 
 <td>U</td> 
 <td>母线电压</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629375177793.png" alt=""></td> 
 <td>功率管压降</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629377364093.png" alt=""></td> 
 <td>反电动势</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629379559392.png" alt=""></td> 
 <td>反电动势系数</td> 
 </tr> 
 <tr> 
 <td>n</td> 
 <td>电机转速(rpm)</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629385492209.png" alt=""></td> 
 <td>电动转矩(NM)</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629387834279.png" alt=""></td> 
 <td>负载转矩(NM)</td> 
 </tr> 
 <tr> 
 <td><img src="https://images0.cnblogs.com/blog/630674/201406/241629390337822.png" alt=""></td> 
 <td>飞轮矩( 转动惯量J的另一种方式，<img src="https://images0.cnblogs.com/blog/630674/201406/241629392528823.png" alt=""> )</td> 
 </tr> 
 </tbody> 
</table>

BLDC电机的**动态**特性方程：

![241629397673680.png][] (1)

![241629400808008.png][] (2)

![241629403772267.png][] (3)

![241629408462110.png][] (4)

由公式(1)-(3)得到BLDC电机**稳定运行**机械特性方程

![241629411429666.png][] (5)

由公式(1)-(4)推导：

![241629414242454.png][]

![241629416745996.png][]

![241629419714554.png][]

![241629422056624.png][]

拉氏变换：

![241629424394396.png][]

得到BLDC传递函数：

![241629428145211.png][] (6)

![241629431422012.png][]

![241629434082325.png][]

令

电动势传递系数：![241629436894112.png][]

转矩传递系数：![241629439715898.png][]

电磁时间常数：![241629442219440.png][]

得到电机转速方程：

![241629445334769.png][]

![241629448611570.png][]

BLDC电动机动态结构图

转载于:https://www.cnblogs.com/derek32/p/3806365.html

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[241629400808008.png]: /images/20211214/bf52b3df374d4cdbafed8df60deea988.png
[241629403772267.png]: /images/20211214/eec3d9cd8e294740bb06ddd6c92ba168.png
[241629408462110.png]: /images/20211214/4039868db23446f7b8c2a32c02d3f379.png
[241629411429666.png]: /images/20211214/f3c69c49dd3e46958a7f2f7c5e557d77.png
[241629414242454.png]: /images/20211214/bf791fff141443cb89a16129737dedd2.png
[241629416745996.png]: /images/20211214/3f8b288feb534fce9212f2e0947a0cef.png
[241629419714554.png]: /images/20211214/d4026b67e32a4c38aade1e5e8af9ba22.png
[241629422056624.png]: /images/20211214/058b8742fa8a40f294f344cb0f093ff0.png
[241629424394396.png]: /images/20211214/1e0a3d24b8e94aeabd98137b0d6b6a3a.png
[241629428145211.png]: /images/20211214/caf8134e6df848d3a78bf6662c7cb8ca.png
[241629431422012.png]: /images/20211214/6d286ce0e7294ad7bf031d83814d60f0.png
[241629434082325.png]: /images/20211214/592eef8046b04718955ec2bb1f72bcf7.png
[241629436894112.png]: /images/20211214/5d0d4433b0734390b34e2478ee28dd52.png
[241629439715898.png]: /images/20211214/2a7da585f3b542c6b3ed5443576d86dd.png
[241629442219440.png]: /images/20211214/e55303c413654330bed27a78396daf22.png
[241629445334769.png]: /images/20211214/8a70bc1096ca41e6a78d095f0923b198.png
[241629448611570.png]: /images/20211214/52917603eeb44bc09d191fd4b65e78d4.png