Guest Editorial: Special Section on Complex Vector Theory and Its Application in Power Electronic Systems

Complex space vectors have for decades proven their usefulness for modeling, analysis, and control design in electric power engineering. One fundamental benefit is that they allow two variables—the d and q components of the vector—to be expressed in a single-input–single-output (SISO) notation. Symmetric three-phase systems and dynamic elements can be modeled using complex-coefficient transfer functions. Various extensions, primarily the corresponding two-row real space vectors and two-by-two transfer function matrices—giving a multi-input–multi-output (MIMO) model—allow asymmetric systems and elements to be modeled as well.