Unlike synchronous generators, the fault response of grid-forming (GFM) inverter-interfaced distributed generators (IIDGs) is notably governed by the selection of control and current limiting strategies rather than inherent physical traits. While recent research has focused on the sequence domain fault model of GFM IIDGs, a research gap exists in elucidating the influence of control and current limiting schemes on this model's characteristics. This article aims to fill this void by examining how different control and current limiting schemes influence the positive and negative sequence impedances in the phasor-domain fault model of GFM IIDGs. This investigation encompasses droop-based, virtual synchronous machine-based, and virtual oscillator-based reference generation controls alongside rotating and stationary reference-frame-based voltage controls. Furthermore, saturation-based, latching-based, circular and virtual impedance-based current limiting schemes are analyzed. To achieve this goal, a thorough numerical simulation study is conducted. Findings indicate that outer reference generation controls exhibit minimal impact. Conversely, the choice of voltage control and various current limiting schemes emerge as the predominant factors shaping the sequence models of GFM IIDGs. These analyses and results are instrumental in devising reliable protection strategies within inverter-based grids, as a comprehensive understanding of electrical elements in the sequence domain is imperative for effective protective measures.

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The restructuring of the power system by replacing Synchronous Generators (SGs) with Inverter-Based Resources (IBRs) has resulted in a drastic change in power system dynamics. Positive Sequence Memory Polarized (PSMP) mho elements have been used to ensure the reliable operation of mho relays during close-in bolted faults. The use of memory voltage for polarization of the mho element causes dynamic expansion of the mho characteristics. In an SG-only system, the memory polarization-induced dynamic expansion of these mho characteristics helps to increase the resistive reach. However, as the integration of IBRs increases, the dynamic mho expansion will be affected due to the different fault characteristics of IBRs. Most IBRs currently integrated into the power system are Grid-Following (GFOL) type, which uses Phase-Locked Loops (PLL) for synchronization. The variations in control parameters and bandwidths of the PLLs used in the GFOL IBRs may also affect the dynamic mho expansion. The studies presented in this paper demonstrate the impact of different types of PLLs and their control parameters on the dynamic expansion of PSMP mho relays. For this analysis, a modified IEEE-39 bus system with a GFOL Photovoltaic (PV) generator is used. The PV s have Voltage Support (VS), Low Voltage Ride-Through (LVRT)/ High Voltage Ride-Through (HVRT) features and comply with IEEE 2800–2022 standard.@en