摘要:
本文基于机械阻抗的分类和电学发展的需要,提出电阻抗的分类:电流阻抗(导纳):电荷阻抗(导纳).通过对RC(Resistance-Capacitor)支路的电流、电荷阻抗和导纳函数以及SD(Spring- Dashpot)支路的位移、速度阻抗和导纳函数八者之间矛盾性的研究,经信号流图拓扑,提出易位、翻转、相似及其组合的网络变换方法,建立了八条变换法则;给出了电压、电流、电荷以及力、位移、速度补偿校正网络构形变换及其传递函数代数置换关系;将RC与SD网络组成一个完整体系,并指出若干文献不妥之处.阻抗(导纳)函数的类比和三种变换、八条法则的提出,丰富了模拟理论,并对其它科技领域的网络分析也有参考价值.
Abstract:
According to the classification of mechanical impedance and the requirements for the advance of electrical engineering, it is proposed that electrical impedances are classified into current impedance (admittance) and charge impedance (admittance). By sudying the contradictions among eight functions which are the impedance and the admittance functions of current and charge in RC branches, and of displacement and velocity in SD (spring-dashpot) branches, and by using the signal flow graph topology, the author presented some network transformation methods of TRANSPOSITION, NVERSION, SIMILARITY and their combinations, and established EIGHT TRANSFORMATION RULES. The transformation relationships of configurations among voltage, current, charge, force, displacement and velocity corrective-compensative networks, as well as the algebraic substitution relationships of their transfer functions have been given by the EIGHT RULES proposed in this paper. Then a complete system of RC and SD networks is composed. Shortcomings involved in some references are also pointed rut. The analogy of the impedance (admittance) functions and the proposition of the THREE TRANSFORMATIONS and the HIGHT RULES enriched the simulation theory, and are also valuable for the network analysis in other scientific and technical domains.