四、 二端口网络的H 方程和H参数
除去上述的3套方程和参数，还有一套常用的参数方程称为混合参数或H参数。即：
![](https://wkrtcs.bdimg.com/rtcs/image?w=150&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"150","h":"70","c":"bdb55b439d0893d80772a16478256511.png"})
在晶体管电路中，H参数得到了广泛的应用。其具体定义为：
![](https://wkrtcs.bdimg.com/rtcs/image?w=128&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"128","h":"70","c":"a1294363c3d4a13ce17a5f4151b8a466.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=122&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"122","h":"70","c":"11ef5f155740004cdff6fbab8e259a9b.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=122&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"122","h":"70","c":"23b56f0feb40abe12190ef967e256f95.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=122&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"122","h":"70","c":"d6456e925278adacf0305d93c715290b.png"})
用矩阵形式表示为；
![](https://wkrtcs.bdimg.com/rtcs/image?w=214&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"214","h":"104","c":"8c4b3139216811a7715e61ea88e15654.png"})
其中，H称为H参数矩阵
![](https://wkrtcs.bdimg.com/rtcs/image?w=134&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"134","h":"82","c":"dcedc02e12b78c11848568d664c2164d.png"})
H参数的求解方法也可分为3种，用定义直接求，用KCL定理转换方程求解，在已知其他3种参数的前提下，用转换公式直接求（见表6-1）。
例如：在已知Y参数下
![](https://wkrtcs.bdimg.com/rtcs/image?w=271&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"271","h":"118","c":"11f2d16b739f6050beaab46c3e16c97d.png"})
可见对于无源线性二端网络，H参数中只有3个是独立的。H21＝－H12。对于对称的二端口，由于Y11＝Y22或Z11＝Z22，则有
![](https://wkrtcs.bdimg.com/rtcs/image?w=160&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"160","h":"23","c":"3bbc99bee550b73ab00d06a924a6936a.png"})
【例】 如例4所示电路图，求H参数
【解】：
方法一：
![](https://wkrtcs.bdimg.com/rtcs/image?w=50190&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"50190","h":"70","c":"19d760ef6568e336eaf2d8b3f42b83eb.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=50163&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"50163","h":"70","c":"90e0e6d396614a67a8027be6c19dc4b8.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=50176&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"50176","h":"70","c":"c493ddc0b35ec2f91b13e146ec5e6d85.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=50152&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"50152","h":"70","c":"e284df93350a9953031d69123f2e06a6.png"})
方法二：列写端口KVL方程
方法三：利用转换公式在已知Z参数情况下求H参数
![](https://wkrtcs.bdimg.com/rtcs/image?w=153&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"153","h":"134","c":"72abf454e44443f0de8934cc9834eac0.png"})
得 ![](https://wkrtcs.bdimg.com/rtcs/image?w=358&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"358","h":"122","c":"0d9c7a5984d1b0bad80c12947376865a.png"})
【例】： 求如图6-1-7所示二端口的![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"16","h":"20","c":"c1d9f50f86825a1a2302ec2449c17196.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=228&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"228","h":"153","dataType":"gif","c":"word/media/image19.gif"})
图6-1-7例8题图
【解】：
![](https://wkrtcs.bdimg.com/rtcs/image?w=254&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"254","h":"93","c":"536fb45831f4b40df2d92f9dc6880265.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=159&md5sum=e02c2ea7def0681b5afc0fe0355c1ecd&sign=2824556e40&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=104&ipr={"t":"img","w":"159","h":"90","c":"8c45e8940a853e946ad56c4edd900c8a.png"})
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