Hilbert space techniques for modeling and compensation of reactive power in energy processing systems

The paper provides a unified exposition of various definitions of reactive (or inactive) power and of various compensation methods. In particular, it presents a comparative Hilbert space analysis of definitions used in power system studies and in electric drives (the so called instantaneous reactive power). The paper casts several compensation strategies (such as compensation without energy storage and compensation with linear shunt components) in a common framework, and utilizes the concept of orthogonal projections on suitable subspaces as the main analytical and computational tool. Various notions are illustrated on two examples.