Multivariable Stability Analysis of Converter-Based Power Systems via Complex-Frequency Synchronization

核心概念

The core message of this article is to study the phase-amplitude multivariable stability issue in converter-based power systems from the perspective of complex-frequency synchronization. The authors propose the notion of complex-frequency synchronization, reveal the equivalence between the linear part of dispatchable virtual oscillator control (dVOC) and complex-power-frequency droop control, and provide novel insights into stability analysis methods and stability criteria.

摘要

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:

1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

統計資料

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引述

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從以下內容提煉的關鍵洞見

Complex-Frequency Synchronization of Converter-Based Power Systems

by Xiuq... 於 arxiv.org 04-12-2024

https://arxiv.org/pdf/2208.13860.pdf

深入探究

How can the proposed complex-frequency synchronization and voltage stabilization analysis be extended to power systems with a mix of converter-based and synchronous generator-based resources

The proposed complex-frequency synchronization and voltage stabilization analysis can be extended to power systems with a mix of converter-based and synchronous generator-based resources by incorporating the dynamics of synchronous generators into the overall system model.

Model Integration: The dynamics of synchronous generators, including their swing equations and control mechanisms, can be integrated into the existing models for converter-based systems. This integration would involve considering the interactions between converters and synchronous generators, especially in terms of power exchange and frequency regulation.

Hybrid System Analysis: The extended model would need to account for the different time scales of converter-based systems and synchronous generators. By separating the fast dynamics of converters from the slower dynamics of synchronous generators, a comprehensive analysis of complex-frequency synchronization and voltage stabilization can be conducted.

Stability Criteria: The stability criteria developed for converter-based systems can be adapted to include the interactions with synchronous generators. This would involve considering the impact of synchronous generators on system stability and developing criteria that ensure the overall stability of the hybrid power system.

What are the potential applications of the complex-frequency representation beyond power system stability analysis, such as in other domains like control of mechanical systems or biological oscillators

The potential applications of the complex-frequency representation beyond power system stability analysis are vast and can be applied to various domains, including control of mechanical systems and biological oscillators.

Mechanical Systems: In mechanical systems, complex-frequency analysis can be used to study the dynamics of interconnected components, such as in robotics or mechatronics. By considering the rate of change of variables like position and velocity in complex form, more advanced control strategies can be developed to optimize system performance.

Biological Oscillators: In biological systems, complex-frequency analysis can provide insights into the synchronization and stability of biological oscillators, such as neural networks or circadian rhythms. By modeling these systems using complex frequency, researchers can better understand the interactions between different components and develop interventions for regulating biological processes.

Signal Processing: In signal processing applications, complex-frequency representation can be utilized for analyzing signals with varying amplitudes and phases. This can lead to improved signal processing techniques for applications like audio processing, image analysis, and communication systems.

How can the insights from the complex-frequency perspective be leveraged to develop advanced control strategies for converter-based power systems that go beyond the traditional droop control paradigm

The insights from the complex-frequency perspective can be leveraged to develop advanced control strategies for converter-based power systems that go beyond the traditional droop control paradigm in the following ways:

Adaptive Control: By incorporating complex-frequency analysis into control algorithms, adaptive control strategies can be developed that dynamically adjust parameters based on the system's synchronization and stability requirements. This adaptive approach can enhance the system's resilience to disturbances and varying operating conditions.

Optimal Power Flow: Complex-frequency representation can be used to optimize power flow in converter-based systems by considering both the rate of change of voltage amplitude and phase angle. This can lead to more efficient power distribution and improved utilization of renewable energy resources.

Decentralized Control: The insights from complex-frequency analysis can enable the development of decentralized control strategies that allow individual converters to autonomously adjust their operations based on the system's synchronization requirements. This distributed control approach can enhance system flexibility and responsiveness.

By integrating complex-frequency analysis into control strategies, converter-based power systems can achieve higher levels of stability, efficiency, and reliability in dynamic operating environments.