埃米特矩阵的第二形式及其应用

The Second Version of Hermitian Matrix with Applications

Ｋ端口网络的导纳矩阵Ｙ＝ＨＧ＋ｊＨＢ，其中称ＨＧ为埃米特矩阵的第一形式，ＨＢ为埃米特矩阵的第二形式、本文证明，网络吸收的有功功率Ｐ＝Ｖ＊ＨＧＶ；无功功率Ｑ＝Ｖ＊ＨＢＶ，复功率Ｗ＝Ｐ＋ｊＱ，斜埃米特矩阵ＨＢＳ＝ｊＨＢ。记放大器功率增益为ＧＰ，若使Ｐ＜０，而Ｑ＞０，则可保持放大器的ＧＰ＞０而又能稳定工作，借此寻找出消除寄生振荡简单而有效的方法。

K port networks are characteriged by admittence matrix Y=H G+jH B where,H G is called the first version of Hermitian matrix;H B is called the second version of Hermitian matrix. It is proved that the active power P and reactive power Q received by networks are equal to V H GV and V H BV in this paper. Complex power received by networks is equal to W=P+jQ. Skew Hermitian matrix is equal to H BS =jH B. Power gains of amplifiers is labelled as G P. If Q>0 and P<0,then the networks are both stable and G P>0. Using above conclusion can find out the both simple and effective method of removing parasitic oscillation.