This chapter presents a unified and generalized modeling, circuit analysis and power flow optimization techniques for a n-port multi-active bridge (MAB) dc-dc converter comprised of N active full bridges and a N-winding transformer. While in the previous chapters, detailed discussions have been performed on loss formulation, soft-switching constraint synthesis, loss optimization, and optimized loss modulator implementation in digital platform for two-port and three-port dc-dc and dc-ac converter types, it is important to understand how the loss formulation and optimization models can be scaled and extended to an MAB with any given number (N) of ports. Further, since an increasing order of the converter also raises the complexity of digital implementation, it is important to analyze and derive the theoretical limits to the modulation degrees of freedom for a particular selection of converter switching frequency and control platform. Therefore, this chapter provides theoretical insights not only to the MAB converter performance optimization, but also to their implementation constraints and practical realizability.