This dissertation presents two kinds of model extraction approaches, direct extraction and adaptive rational approximation methods, for establishing a novel broadband model, the modified T-equivalent circuit. Both methods skillfully use the simplified and decomposed schemes to dramatically reduce the complexity of modeled parameter extraction procedures and the needed computational efforts. As a result, any two-port microwave passive components or networks can be modeled efficiently using the proposed fully-analytical mathematic extraction formulations. In comparison with other broadband modeling techniques, the modified T-equivalent circuit can be constructed with much less elements. Model with such a compact character attributes the frequency responses of two decomposed circuits having obvious resonances to be identified and utilized for constituting equivalent circuits using only necessary elements. It is worth to note that the modified T-equivalent circuit model can utilize two expandable multilayer resonators to achieve very wide bandwidth but maintain model still in a single-stage equivalent circuit. Several successful modeling examples verified on the LTCC- and organic- embedded type of band-pass filters and inductors, the most crucial passive components to affect the performances of RF communication system, demonstrate the presented model with the superior character of accuracy and broadband indeed.