Kabalan_PhDThesis
- 1. Nonlinear Stability Analysis of DC/AC Inverters and Inverter-Based Microgrids Mahmoud Kabalan, Pritpal Singh, Villanova University and Dagmar Niebur, Drexel University • Stability and reliability analysis algorithms using nonlinear Lyapunov-based methods • Generated and analyzed reduced-order models of inverters for Accuracy and Performance in: • Domain of attraction estimation • Time-domain simulations Model-order reduction effect on domain of attraction Model-order reduction effect on time-domain simulations DC/AC Droop-Controlled Inverter with DC- Side Dynamics • A new Model that incorporates the dc-side dynamics • Bi-directional operation capability (4- Quadrant operation) • Allows the study of dc-side dynamics and its effect on stability of ac microgrids DC/AC Droop-Controlled Inverter Inverter-Based Microgrids Load dynamics versus domain of attraction (DOA) DC-side Voltage source drop (in % of rated value) versus DOA Inverter-Based Microgrids Design and optimization tool for microgrids using Lyapunov-based nonlinear methods to couple the domain of asymptotic stability to: • Microgrid component Sizing • Intermittency of renewable energy sources • Operating conditions Microgrid Component Sizing (dc-side capacitor) versus DOA Circuit diagram of a droop-controlled inverter Output direct current Outputquadraturecurrent Circuit diagram of a droop-controlled inverter with dc-side dynamics Case study of a three bus microgrid with 2 dc/ac inverters and 1 load Active Power of inverter 1 Active Power of inverter 1 Active Power of inverter 1 ReactivePowerofInverter1ReactivePowerofInverter1 Contact info: Mahmoud Kabalan: Mahmoud.kabalan@villanova.edu Pritpal Singh: Pritpal.singh@villanova.edu Dagmar Niebur: niebur@coe.drexel.eduReactivePowerofInverter1