Multirate constant parameter generalized synchronous machine model for simulation of electromagnetic transients in shipboard power systems

Time-domain simulations have become the preferred approach in modern terrestrial and shipboard power systems due to the increasing integration of high-frequency power electronic devices. These developments necessitate smaller transient analysis windows, further driving innovation in power systems simulation tools and computational technology. First introduced and pioneered by Prof. Herman Dommel, the nodal-analysis-based electromagnetic transient programs (EMT or EMTP-Type) lead the field. Despite the existing simulation programs based on EMTP-type solution algorithms, several critical areas remain active in the research and development of modern and future offline and real-time EMT simulators. For instance, synchronous machines (SMs) models present significant computational challenges due to their complex dynamics and extensive calculations, especially when coupled with switching power converters. Recent advancements have focused on improving computational efficiency in SM simulations. These efforts involve reformulating the SM model using constant parameter matrices, significantly reducing the computational burden. This thesis builds upon this foundation by advancing the constant parameter voltage-behind-reactance (CP-VBR) saturable machine model to support an arbitrary number of damper windings while implemented using a multirate (MR) algorithm. The proposed MR CP-VBR SM model separates fast and slow dynamics, enabling further reduction of computational costs by lowering the sampling rate for slower subsystems. Through extensive computer studies, this research demonstrates that the proposed MR CP-VBR SM model offers superior performance compared to existing models across diverse scenarios. Including magnetic saturation and an arbitrary number of damper windings make the proposed model particularly suitable for modern shipboard power systems where SM are significant components and simulation accuracy and speed are critical.