Abstract

This paper presents a Phillips-Heffron model for the generation unit with current-controlled (CC) voltage source converter (VSC) as the interface. A concept of current angle is put forward for the CC-VSC, and the relationship between the current angle and the power angle is also quantified. Based on the current angle, a Phillips-Heffron model is established for the generation unit with CC-VSC, considering the dynamic of phase-locked-loop (PLL) in the weak grid. The model demonstrates that small-signal dynamics of the generation unit is similar to that of the traditional synchronous generator (SG) which is characterized by the electromechanical swing equations. Then the dynamics can be depicted by the famous inertia, synchronizing and damping coefficients. Small-signal stability of a CC-VSC-based single machine infinite bus system is analyzed by means of the traditional theory of power system. Based on the relationship between the current angle and the power angle, the Phillips-Heffron model of the CC-VSC is also used in stability analysis of multi-machine power system, and parameter optimizations of the CC-VSC are also studied for stability improvement.

Highlights

  • The penetration of Distributed Generation (DG) using Voltage-Source-Converter (VSC) continuously increases over the past few decades [1, 2]

  • Considering the differences and relations between the CC-VSC and the voltage source, the concept of current angle is proposed for the CC-VSC, similar to the rotor angle of traditional synchronous generator (SG)

  • The dynamics of the CC-VSC in the electromechanical time scale is represented by the famous inertia, synchronizing and damping coefficients, and the small-signal stability of a CC-VSC-based single machine infinite bus system is analyzed by means of the traditional theory of power system

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Summary

Introduction

The penetration of Distributed Generation (DG) using Voltage-Source-Converter (VSC) continuously increases over the past few decades [1, 2]. In order to analyze the small-signal stability of modern power system with VSCs, a promising solution is to establish SG-equivalent model for the VSCs [8,9,10,11,12] It is the classic Phillips-Heffron model, which characterizes the SG dynamics with inertia, synchronizing and damping coefficients [13, 14]. It promotes the cognition about the CC-VSC from the perspective of the traditional SG-based power system, and bridges the gap between the CC-VSC and the mature theories of traditional power system

Configuration and control of CC-VSC
Definition of current angle for CC-VSC
Small-signal modeling of PLL-based CC-VSC
Small-signal stability mechanism of CC-VSC
Model application in a two-machine power system
Stability analysis of two-machine power system
Validation of Phillips-Heffron model of CC-VSC
Validation of stability analysis based on proposed model
Conclusion
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