The article studies the phase-amplitude multivariable stability issue in converter-based power systems from the perspective of complex-frequency synchronization. The key highlights and insights are:
The authors propose the novel concept of complex-frequency synchronization, which represents the rate of change of both voltage amplitude and phase angle. This aligns well with the multivariable coupling characteristics between active and reactive power dynamics.
The authors reveal that the linear part of dVOC is equivalent to a complex-power-frequency droop control, and this complex droop control enables the system to achieve complex-frequency synchronization on a fast time scale.
On a relatively slower time scale, the system converges from the synchronous state to a voltage steady state. The slow dynamics are also (approximately) linear when viewed from a "complex angle" perspective.
The authors leverage linear system theory to solve the subproblems of complex-frequency synchronization and voltage stabilization, effectively handling the case of drooped steady states and nonuniform networks while avoiding the challenge associated with directly treating nonlinear stability.
The authors formulate linear system models, derive quantitative stability conditions, and furnish admittance models and stability criteria. These actionable methods provide a practical solution to the phase-amplitude multivariable stability problem.
The authors extend the developed models to encompass more general power systems that include both converters and synchronous generators, and discuss how to apply their methods to investigate the stability of the fast converter dynamics in the presence of synchronous generators.
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arxiv.org
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