| Mathematical Morphology (MM) has been discussed in literature for its possible applications in power systems. Different applications are proposed which cover diverse areas in power system, including applications in power system protection. Applications in power system protection require real time analysis of signals by MM based tools. However, the published literature does not present adequate information on the properties of MM as a real time signal analysis tool. This dissertation analyzes basic MM filters and operations, and discusses the properties relevant to real time application. Based on the analysis, the dissertation proposes two real time applications in power system protection.;The dissertation begins with simple and reproducible examples to explain the concept of MM and its derivative processes. The real time properties of some basic MM based filters and operators are described along with some possible areas of application.;This is followed by use of these properties to formulate, comprehensively test and propose two MM based real time applications: out of step blocking function for distance relays, and high impedance fault detection for distribution systems. Both applications are extensively tested for validity using simulated waveforms obtained from time domain simulation of various standard test systems.;Finally, this dissertation discusses an initial study of an MM based fault detection methodology for a microgrid with power electronics based distributed energy resources. Results of this study bring out some challenges that need to be overcome. |
