Abstract

This paper presents a small signal stability analysis to assess the stability issues facing PV (photovoltaic) inverters connected to a weak grid. It is revealed that the cause of the transient instabilities, either high-frequency or low-frequency oscillations, is dominated by the outer control loops and the grid strength. However, most challenging oscillations are low-frequency oscillations induced by coupling interaction between the outer loop controller and PLL (Phase-Locked Loop) when the inverter is connected to a weak grid. Therefore, the paper proposes a low-frequency damping methodology in order to enhance the high system integration, while maintaining the stability of the system. The control method uses a DC link voltage error to modulate the reference reactive current. The proposed control reduces the low-frequency coupling between the DVC (DC link voltage controller), AVC (AC voltage controller) and PLL (Phase-locked loop). According to this study’s results, the performance capability of the grid-connected PV inverter is improved and flexibility in the outer loop controller design is enhanced. The control strategy proposed in this paper is tested using the PLECS simulation software (Plexim GmbH, Zurich Switzerland) and the results are compared with the conventional method.

Highlights

  • High penetration of PV systems into AC systems reduces the grid strength, i.e., the AC system short circuit ratio (SCR) is reduced

  • The grid strength is described by the SCR, where a weak grid is defined by the SCR < 3 [2]

  • It has been found that the Phase-Locked Loop (PLL), outer control loop, and the grid strength are the main cause of low-frequency instability issues [4,14]

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Summary

Introduction

High penetration of PV systems into AC systems reduces the grid strength, i.e., the AC system short circuit ratio (SCR) is reduced. References [1,12,13] proposed a reduced small-signal model to investigate the effects of outer control loops, grid dynamics and PLL on the system stability. It has been found that the PLL, outer control loop (which includes the PCC voltage controller and DC link voltage controller), and the grid strength are the main cause of low-frequency instability issues [4,14]. In reference [5], the author proposed a control method to damp the low-frequency oscillations, where the measured PCC voltage is used to update the d-axis current reference, while in [4], the author uses the measured grid current and PCC terminal voltage to set the DC link voltage reference level. A simple compensation method that aims to damp the low-frequency oscillations induced by the outer control loop, the PLL and the grid dynamics, is proposed.

Structure of Single-Stage Grid-Connected PV Inverter and Control System
Characteristics of PV Generator and its Mathematical Model
Small-Signal Model of Grid-Connected PV Inverter
Frame Transformation
Converter Filter Inductor Dynamics
DC-Link Capacitor Dynamics
Grid Dynamics Model
Overall State-Space Model
Stability Analysis
Control Loop Interaction
Eigenvalues Analysis
Proposed Damping Method for Low-Frequency Resonance Oscillations
Comparative Stability Analysis of Conventional and Proposed Control
Eigenvalues of the Proposed System
Impact of Capacitor Voltage Feed-Forward Constant
Impact of Grid Impedance
Impact of AVC Control Bandwidth
Impact of DC Link Voltage Controller Bandwidth
Impact of PLL Controller Bandwidth
Impact of the Solar Insolation of the Stability
Impact of the Damping Loop Integrating Constant
Simulation Results
Conclusions
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