![](https://wkrtcs.bdimg.com/rtcs/image?w=927.07&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","r":"r_0","w":"927.07","h":"1122.53","dataType":"jpeg","c":"word/media/image1.jpeg","imgOriW":2381,"imgOriH":3367})
RLC并联谐振电路
电路课程设计举例：?以RLC并联谐振电路
1．电路课程设计目的
（1）验证RLC并联电路谐振条件及谐振电路的特点；
（2）学习使用EWB仿真软件进行电路模拟。
2．仿真电路设计原理
本次设计的RLC串联电路图如下图所示。
图1RLC并联谐振电路原理图
理论分析与计算：
根据图1所给出的元件参数具体计算过程为
发生谐振时满足![](https://wkrtcs.bdimg.com/rtcs/image?w=115.8&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"115.8","h":"48.733333333333","dataType":"png","c":"word/media/image2_1.png","imgOriW":2020,"imgOriH":900})
,则RLC并联谐振角频率和谐振频率分别是
RLC并联谐振电路的特点如下。
（1）谐振时Y=G,电路呈电阻性，导纳的模最小![](https://wkrtcs.bdimg.com/rtcs/image?w=153.93333333333&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"153.93333333333","h":"38.066666666667","dataType":"png","c":"word/media/image5_1.png","imgOriW":2797,"imgOriH":651})
.
（2）若外施电流![](https://wkrtcs.bdimg.com/rtcs/image?w=19.8&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"19.8","h":"28.933333333333","dataType":"png","c":"word/media/image6_1.png","imgOriW":529,"imgOriH":670})
一定，谐振时，电压为最大，,且与外施电流同相。
（3）电阻中的电流也达到最大，且与外施电流相等，![](https://wkrtcs.bdimg.com/rtcs/image?w=57.933333333333&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"57.933333333333","h":"28.933333333333","dataType":"png","c":"word/media/image8_1.png","imgOriW":1516,"imgOriH":670})
.
（4）谐振时![](https://wkrtcs.bdimg.com/rtcs/image?w=76.2&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"76.2","h":"28.933333333333","dataType":"png","c":"word/media/image9_1.png","imgOriW":2116,"imgOriH":670})
,即电感电流和电容电流大小相等，方向相反。
3．谐振电路设计内容与步骤
（1）电路发生谐振的条件及验证方法
这里有几种方法可以观察电路发生串联谐振：
(1)利用电流表测量总电流![](https://wkrtcs.bdimg.com/rtcs/image?w=19.8&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"19.8","h":"28.933333333333","dataType":"png","c":"word/media/image10_1.png","imgOriW":529,"imgOriH":670})
和流经R的电流，两者相等时即为并联谐振。
(2)利用示波器观察总电源与流经R的电流波形，两者同相即为并联谐振。
例题：已知电感L为0.02H,电容C为50uf,电阻R为200![](https://wkrtcs.bdimg.com/rtcs/image?w=19.8&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"19.8","h":"19.8","dataType":"png","c":"word/media/image12_1.png","imgOriW":416,"imgOriH":416})
。
由![](https://wkrtcs.bdimg.com/rtcs/image?w=96&md5sum=73292c6043ce016ff5ecea1d92ff2e82&sign=dffd68c914&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=319&ipr={"t":"img","w":"96","h":"48.733333333333","dataType":"png","c":"word/media/image13_1.png","imgOriW":1987,"imgOriH":886})
计算得,
按上图进行EWB的仿真,得到下图。
流经电阻R的电流和总电流I相等为10mA,流进电感L和电容C的总电流为5.550uF，几乎为零，所以电路达到谐振状态。
总电源与流经R的电流波形同相，所以电路达到并联谐振状态。
4．实验体会和总结
这次实验我学会了运用EWB仿真RLC并联谐振电路，并且运用并联谐振的特点判断达到谐振状态。尤其是观察总电源与流经R的电流波形，两者同相即为并联谐振。这种方法我们只能在实验中看到，平时做题试卷上是不可能观察到的。这加深了我对谐振电路的理解。
本文来源：https://www.2haoxitong.net/k/doc/945e53530708763231126edb6f1aff00bfd570d7.html
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