The Cauer Ladder Network (CLN) method was proposed by Kameari et al. [1] to reduce a numerical model based on a 2D vector potential FE formulation of the magnetoquasistatic (MQS) problems. The main advantage of this method is that the reduced problem relies on an equivalent electrical circuit. It means that once the reduced basis is built in an offline stage, the online stage consists in solving an electrical circuit based on resistors and inductors. The field distributions in the FE space are then reconstructed from currents flowing through the inductors and voltages across the terminals of the resistors. Using the CLN method, the coupling of other circuits is totally natural, which is of great interest in many applications since the device, modelled by the FE method, is very often electrically connecting to other devices represented also by equivalent circuit. Using the self-adjoint Lanczos method [2], this method has been extended to other formulations for the 3D problem, including A-φ [2] and A-T [3]. However, no research has been reported for the CLN method with the T-Ω formulation. In this communication, a general framework covering all MQS formulations is proposed in this work: the equation system with the different formulations is transformed into an equivalent form, on which the self-adjoint method is applied to generate the equivalent circuit. Moreover, the reduced models obtained by the CLN method for the different potential formulations are compared for an example based on infinitely long round conductor surrounded with insulant for which the analytical solution is known. Then, it is shown that the resistances and inductances given by the formulation A-T are bound by the values obtained by the two formulations A-φ and T-Ω on this example.