학술논문

Stability Analysis of Grid-Forming Converters Under DC-Side Current Limitation in Primary Frequency Response Regime
Document Type
Periodical
Source
IEEE Transactions on Power Systems IEEE Trans. Power Syst. Power Systems, IEEE Transactions on. 37(4):3077-3091 Jul, 2022
Subject
Power, Energy and Industry Applications
Components, Circuits, Devices and Systems
Power system stability
Voltage control
Wind turbines
Load modeling
Frequency control
Stability criteria
Mathematical models
Grid-forming converter
droop
virtual oscillator
virtual synchronous machine
matching control
Lyapunov stability
input-to-state stability
input-output stability
Language
ISSN
0885-8950
1558-0679
Abstract
The Stability of grid-forming converters (GFCs) interfacing renewable resources in a power system with multiple synchronous generators (SGs) is studied in the context of primary frequency response. The GFCs are divided into two classes based on the control methods – class-A: droop control, dispatchable virtual oscillator control (dVOC), and virtual synchronous machine (VSM); and class-B: matching control. First, averaged phasor models of these GFC classes are developed, which can be seamlessly integrated with positive sequence fundamental frequency planning models. Next, simplified averaged models are derived to study the stability of the dc-link voltage of the GFCs under dc-side current limitation in a generic multimachine system during primary frequency response. To that end, sufficiency conditions for stability of both classes and that of instability for class-A GFCs are established. Finally, the proposed stability conditions are verified using detailed switched models of two small systems and phasor models of a 4-machine and a 16-machine IEEE benchmark systems.