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Title: Modeling and mechanism investigation of inertia and damping issues for grid-tied PV generation systems with droop control
Authors: Wu, YB
Zhang, DH
Xiong, LS 
Wang, S
Xu, Z 
Zhang, Y
Keywords: Grid-tied photovoltaic generation system
Deloading maximum power point tracking
DC voltage control timescale
Electrical torque analysis method
Inertia and damping characteristics
Issue Date: 2019
Publisher: Molecular Diversity Preservation International
Source: Energies, 2 May 2019, v. 12, no. 10, 1985, p. 1-17 How to cite?
Journal: Energies 
Abstract: Inertia effect and damping capacity, which are the basic characteristics of traditional power systems, are critical to grid frequency stability. However, the inertia and damping characteristics of grid-tied photovoltaic generation systems (GPVGS), which may affect the frequency stability of the grid with high proportional GPVGS, are not yet clear. Therefore, this paper takes the GPVGS based on droop control as the research object. Focusing on the DC voltage control (DVC) timescale dynamics, the mathematical model of the GPVGS is firstly established. Secondly, the electrical torque analysis method is used to analyze the influence law of inertia, damping and synchronization characteristics from the physical mechanism perspective. The research finds that the equivalent inertia, damping and synchronization coefficient of the system are determined by the control parameters, structural parameters and steady-state operating point parameters. Changing the control parameters is the simplest and most flexible way to influence the inertia, damping and synchronization ability of the system. The system inertia is influenced by the DC voltage outer loop proportional coefficient K-p and enhanced with the increase of K-p. The damping characteristic of the system is affected by the droop coefficient D-p and weakened with the increase of D-p. The synchronization effect is only controlled by DC voltage outer loop integral coefficient K-i and enhanced with the increase of K-i. In addition, the system dynamic is also affected by the structural parameters such as line impedance X, DC bus capacitance C, and steady-state operating point parameters such as the AC or DC bus voltage level of the system and steady-state operating power (power angle). Finally, the correctness of the above analysis are verified by the simulation and experimental results.
EISSN: 1996-1073
DOI: 10.3390/en12101985
Rights: © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
The following publication Wu, Y.; Zhang, D.; Xiong, L.; Wang, S.; Xu, Z.; Zhang, Y. Modeling and Mechanism Investigation of Inertia and Damping Issues for Grid-Tied PV Generation Systems with Droop Control. Energies 2019, 12, 1985, 17 pages is available at
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