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Local Synchronization of Power System Devices

Ignacio Ponce, Federico Milano

Abstract

This paper introduces a novel concept of local synchronization of power systems devices based on the difference between the complex frequency of the voltage and current injected at terminals. Formal definitions are provided to account for bounded and asymptotic local synchronization. The definitions are suitable for modern power systems as they remove classical assumptions limiting the application of the concept of synchronization to synchronous machines and omitting voltage dynamics. The paper also provides a systematic analytical description of the synchronization mechanisms of common power system devices. Finally, a variety of examples is included to illustrate the theoretical value and practical application of the proposed definitions to power systems modeling and stability analysis.

Local Synchronization of Power System Devices

Abstract

This paper introduces a novel concept of local synchronization of power systems devices based on the difference between the complex frequency of the voltage and current injected at terminals. Formal definitions are provided to account for bounded and asymptotic local synchronization. The definitions are suitable for modern power systems as they remove classical assumptions limiting the application of the concept of synchronization to synchronous machines and omitting voltage dynamics. The paper also provides a systematic analytical description of the synchronization mechanisms of common power system devices. Finally, a variety of examples is included to illustrate the theoretical value and practical application of the proposed definitions to power systems modeling and stability analysis.
Paper Structure (22 sections, 44 equations, 23 figures)

This paper contains 22 sections, 44 equations, 23 figures.

Figures (23)

  • Figure 1: Shunt-connected device to the grid.
  • Figure 2: Circuit diagram. Example \ref{['subsec:emt']}.
  • Figure 3: Three-phase voltage trajectories. Example \ref{['subsec:emt']}.
  • Figure 4: Current and power trajectories. Example \ref{['subsec:emt']}.
  • Figure 5: Admittance CF $\bar{\chi}$. Example \ref{['subsec:emt']}.
  • ...and 18 more figures