Complementary Analysis in Reduced Dimension (of Mutual Inductance Imbedded Network)

In general, solution of electric networks requires both node and loop analysis, in which node pair voltages and loop currents are treated as network variables, but the conjugate quantities of these variables (the branch currents and node pair voltages respectively) are to be obtained through additional solving operation. In case of networks with magnetic coupling, however, the coupling keeps the conjugate variables mutually dependent and its final solution requires further calculation. In this paper is analyzed the method of obtaining the conjugate quantities through treatment of the problrm in a subspace with dimensions of number of magnetically coupled branches.

일반적으로 전기회로의 해법은 node analysis나 loop analysis의 어느 한 쪽만 행하고 나머지는 해당 branch 정수를 통하여 필요한 conjugate Quantity를 구하는 것이 통례이다. mutual inductance가 들어 있는 branch들에서는 이 두가지중의 하나만으로는 불가능하여 complementary analysis를 통하여 두가지 variable을 다 구하여야 한다. 이 complementary analysis의 경우 우리는 network variable의 한편을 알고 있으므로 방정식의 차원수를 mutual inductance branch의 개수로 줄여서 취급할 수 있다.