Extending the Frequency Bandwidth of Transient Stability Simulation Using Dynamic Phasors

Abstract

Transient stability is an important measure in assessing a system's overall stability. It characterizes the ability of a power system to maintain stability following major disturbances.Modern power systems whose dynamics are increasingly complex and shaped by fast power electronic devices are testing the assumptions and limitations of existing transient stability simulation methods. This work presents a new method developed to improve transient stability simulation by extending its frequency bandwidth through dynamic phasors. This method constructs a continuous set of differential algebraic equations modeling a power system's dynamics using modified nodal analysis. These equations are numerically solved using a general purpose differential algebraic equations solver based on a variable step and variable order algorithm.This selection allows the method developed in this work to conduct accurate simulations while maintaining the advantages of demodulation in phasor-based analysis. Models are included for linear ac networks as well as two important components for power system simulation.

Hybrid Dynamic Phasor Modeling Approaches for Accurate Closed-Loop Simulation of Power Converters

“…In the above equations, w k refers to the set of all considered switching and side-band harmonics mω s ± nω o . The PCC voltage phasor can be calculated using (16). From the above mentioned assumptions on the PWM, the time domain waveform of the phase -neutral voltage can be calculated [8], [9].…”

“…Furthermore, the methods used to represent the controller and the domain used to simulate the controller is not described. Recently, DP based models were applied for AC Microgrids for simulation and study of eigen values unbalanced conditions [15], [16]. However, the switched behavior of the converter was neglected and only an averaged duty cycle was considered.…”

An Approach Inspired by Quantum Mechanics for the Modeling of Large Power Systems

“…However, some lines need around 1500 iterations (≈ 15 times more steps) to converge. A graphical illustration of the convergence results is given in the right panel of Figure (5). The lines with a high convergence rate are located inside densely meshed areas whereas the lines with poor convergence are situated in sparse areas.…”

“…More recently, some data-driven methods based on Artificial Intelligence have also been designed, although it remains delicate to trust such methods entirely [17] [18] [19]. For dynamic operations described by a set of differential algebraic equations, speeding up the calculation and extending the time range of simulators are some issues arising from the increasing share of non-conventional loads and sources connected to networks through power electronics converters [4] [5].…”

Modular Dynamic Phasor Modeling and Simulation of Renewable Integrated Power Systems

“…Positive-sequence dynamic phasor modeling methods represent the dynamics of network elements [15] and are known to provide an accuracy comparable to EMT simulations with lower computational complexity. Dynamic phasor modeling can be carried out similarly to EMT methods [16,17] or in the form of differential and algebraic equations (DAEs) [18]. Representing dynamic phasors using DAEs provides additional advantages such as eigenvalue analysis.…”