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SUMMARYFor the class of complete nonlinear RLC-networks the normal form equations can be established by a method given in Brayton and Moser' using the mixed potential. Before applying this approach it is a crucial point to investigate whether a network is complete. To this end in the present paper an algorithm is given which additionally leads to a partitioning of the network under consideration. Two theorems are given enabling the direct construction of the mixed potential starting from the obtained subnetworks. It is shown that complete nonlinear RLC-networks with ideal two-port transformers (RLCT-networks) can be remodelled into complete RLC-networks using a new approach to model non-hybrid transformers. Noncomplete RLCT-networks often can be remodelled into complete RLCTnetworks by inserting additional branches containing controlled sources which d o not affect the mixed potential. Further simplifications are possible using the rules given to derive the so-called 'potential-equivalent' networks which contain less controlled sources but lead to the same normal form equations. Finally some theorems are given concerning the existence and uniqueness of solutions of a cqnplete network where the conditions can be examined directly at the network before establishing the network equations.

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