Abstract

The effect of frequency variation on system stability becomes crucial when a voltage source converter (VSC) is connected to a weak grid. However, previous studies lack enough mechanism cognitions of this effect, especially on the stability issues in DC voltage control (DVC) timescale (around 100 ms). Hence, this paper presented a thorough analysis of the effect mechanism of frequency variation on the weak grid-connected VSC system stability in a DVC timescale. Firstly, based on instantaneous power theory, a novel method in which the active/reactive powers are calculated with the time-varying frequency of voltage vectors was proposed. This method could intuitively reflect the effect of frequency variation on the active/reactive powers and could also help reduce the system order to a certain extent. Then, a small-signal model was established based on the motion equation concept, to depict the effect of frequency variation on the weak grid-connected VSC system dynamics. Furthermore, an analytical method was utilized to quantify the effect of frequency variation on the system’s small-signal stability. The quantitative analysis considered the interactions between the DC voltage control, the terminal voltage control, phase-locked loop, and the power network. Finally, case studies were conducted, and simulation results supported the analytical analyses.

Highlights

  • In many parts of the world, including China, wind farms are often located far away from load centers [1]

  • A novel power calculation method in which the active/reactive powers are calculated with the time-varying frequency of voltage vectors was proposed

  • Comparisons of simulation responses and eigenvalue analysis validated that the established model could hold the main behaviors of concern, even under weak grid conditions

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Summary

Introduction

In many parts of the world, including China, wind farms are often located far away from load centers [1]. To analyze the dynamics of power systems with large scale VSCs in DVC timescale, [14] proposes a small-signal model of VSC based on the motion equation concept In this model, the self-characteristics of VSC are depicted by the relationship between the unbalanced active/reactive powers and the phase/amplitude dynamics of the VSC’s internal voltage Drawing lessons from conventional SG-dominated power systems, the reactance of the power network under the nominal frequency was utilized to calculate the active/reactive powers by references [14,15,16] Owing to this nominal-frequency-based power calculation method, the existing motion-equation-concept models cannot depict the effect of frequency variation on the weak grid-connected VSC system dynamics. Description of Grid-Connected VSC System and Motion Equation Concept in DVC Timescale

Description of Grid-Connected VSC System
Definition of DVC Timescale
Motion Equation Concept
Proposed Power Calculation Method
Time-Varying Frequency of VSC’s Internal Voltage
Power Calculation with the Time-Varying Frequency of Voltage Vectors
System Modeling with the Proposed Power Calculation Method
Small-Signal Modeling of VSC’s Internal Voltage Dynamics in DVC Timescale
Established VSC Model based on Motion Equation Concept
Established Power Network Model
Verification of the Established Small-Signal Model
Stability Analysis of the Grid-Connected VSC System in Frequency Domain
Case Study 1
Case Study 2
Discussion
Conclusions
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