用电路元件的新零器模型分析伴随网络及灵敏度的改进算法

Using New Nullor Models of Circuit Elements to Analyse Adjoint Networks and an Improved Algorithm for Computing Sensitivities

本文推荐了三种电路元件(VCVS,CCCS,CCVS)的新零器模型,讨论了含有这种新模型的零器网络的伴随网络。利用这种伴随网络可以简单地推出含受控源的伴随网络,从而大大地简化了传统的推导方法,并指出了含零器的原始网络与伴随网络的降阶节点导纳矩阵是互为转置,利用一次行列重序技术就能解决两个网络方程的列写问题。最后提出了一种灵敏度的改进算法。

In this paper, the three new nullor models of circuit elements ( vcvs, cccs, ccvs ) are recommended. The adjoint networks of the networks with these new nullor models are explored. Using this adjoint networks we can easily deduce the adjoint networks of the networks with dependent sources, and simplify the traditional method greatly[4], the reduced nodal admittance matrix for the original networks with nullors and that for the adjoint networks can be transposed each other. Using technique of reordering the rows and columns of matrices only once, the formulation of two network equations can be solved. Finally an improved algorithm for calculating aensitivities is given.