Voltage-Dependent Electromechanical Wave Propagation Modeling for Dynamic Stability Analysis in Power Systems.
CoRR(2023)
摘要
Accurate dynamic modeling of power systems is essential to assess the
stability of electrical power systems when faced with disturbances, which can
trigger cascading failures leading to blackouts. A continuum model proves to be
effective in capturing Electromechanical Wave (EMW) propagation
characteristics, including its velocity, arrival time, and deviations.
Analyzing these characteristics enables the assessment of the impacts of EMW on
the performance of the protection system. Prior research has often modeled
nonlinear EMW propagation through Partial Differential Equations (PDEs) within
a homogeneous and uniform frame structure, assuming constant bus voltages
across the entire power system. However, this assumption can produce inaccurate
results. In this paper, we relax this assumption by introducing a second-order
nonlinear hyperbolic EMW propagation equation model that accounts for voltage
variations. Additionally, we present numerical solutions for the EMW
propagation equation using the Lax-Wendroff integration method. To validate our
approach, we conduct simulations on two test systems: a two-bus one-machine
system and the New England 39-bus 10-machine system. The simulation results
demonstrate the effectiveness of our proposed model and emphasize the
importance of including the bus voltage equations in the analysis.
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