| In the middle of 1980's, Professor CHEN Shennian put forward the Field Theory of Network (FTN). From then on, research and development of FTN were undergoing a revolution. By starting from Maxwell equations, FTN derived its fundamental contents from two conservation laws ?the law of charge conservation and the law of energy conservation. Moreover, FTN analyzed the DC and AC networks, studied linear and nonlinear networks, discussed many kinds of circuit analyzing methods, and almost constructed an integral circuit theory in terms of field theory. However, a research on multiple-port network theory is absent until this paper is coined. In the paper, we have first time obtained the FTN-format network-state equations for loop-current and node-voltage methods of including mutual inductance, and still the first time we have computed the basic parameters of multiple-port network for FTN. As you expected, this paper is leading you into a new field of FTN: multiple-port network theory.This paper is focused on the application of FTN. The main idea behind the theory is to regard two- and multiple-port networks as the electric networks of including some number of independent loops in FTN, thereafter to combine the FTN with two- and multiple-port networks for further studying.This paper contains three parts. The first part simply reviewed the FTN fundamentals, including the two conservation laws, the two integral forms of independent equations, and the new forms of Kirchhoff s laws. The second part is devoted to the derivation of two kinds of network-state equations. Firstly, we transform variables in the new forms of Kirchhoff's law from branch current into node voltage, and obtain FTN-format network-state equations for node voltage method of including mutual inductance. Secondly, we transform variables in the new forms of Kirchhoff's law from branch current into loop-current, and obtain FTN-format network-state equations for loop-current method of including mutual inductance. The third part is concerned with two- and multiple-port networks in FTN. In this part, we analyze two- and multiple-port networks with use of loop-current method obtained in the second part, and deduce four parameters for arbitrary two- and multiple-port networks: parameter Y, Z, H, and G. This result is applicable to any two- and multiple-port networks with linear or nonlinear components in sinusoidal steady state. Finally, an example circuit without power sources is presented to illustrate the procedure of parameter calculation. |
