Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics

Cao, Wenchao; Ma, Yiwei; Wang, Fei; Tolbert, Leon M.; Xue, Yaosuo

doi:10.1109/tsg.2020.2978250

Title: Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics

Full Record
Other Related Research

Abstract

For system planning of three-phase inverter-based islanded ac microgrids, the low frequency instability issue caused by interactions of inverter droop controllers is a major concern. When internal control information of procured commercial inverters is unknown, impedance-based small-signal stability criteria facilitate prediction of resonances in medium and high frequency ranges, but they usually assume the grid fundamental frequency as constant and thus they are incapable of analyzing the low-frequency oscillation of the fundamental frequency in islanded microgrids. Aiming at solving this issue, this paper proposes two stability analysis methods based on terminal characteristics of inverters and passive connection network including the dynamics of the fundamental frequency for analysis of low-frequency stability in islanded multiple-bus microgrids. Based on the Component Connection Method (CCM) to systematically separate inverters from the passive connection network, a general approach is developed to model the microgrid as a multiple-input-multiple-output (MIMO) negative feedback system in the common system d-q reference frame. By applying the generalized Nyquist stability criterion (GNC) to the return-ratio and return-difference matrices of the MIMO system model, the low-frequency stability related to the fundamental frequency can be analyzed using the measured terminal characteristics of inverters. Finally, analysis and simulation of a 37-bus microgrid verify themore »« less

Authors:

^[1];

^[2]; Wang, Fei ^[2];

^[3];

^[3]

Danfoss LLC, Tallahassee, FL (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: 2020-09-01

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Electricity (OE)

OSTI Identifier:: 1648986

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: IEEE Transactions on Smart Grid

Additional Journal Information:: Journal Volume: 11; Journal Issue: 5; Journal ID: ISSN 1949-3053

Publisher:: IEEE

Country of Publication:: United States

Language:: English

Subject:: 24 POWER TRANSMISSION AND DISTRIBUTION; AC microgruids; droop control; impedance; inverters; small-signal stability; terminal characteristics

Citation Formats


                    Cao, Wenchao, Ma, Yiwei, Wang, Fei, Tolbert, Leon M., and Xue, Yaosuo. Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics.  United States: N. p., 2020. 
Web.  doi:10.1109/tsg.2020.2978250.

Copy to clipboard


                    Cao, Wenchao, Ma, Yiwei, Wang, Fei, Tolbert, Leon M., & Xue, Yaosuo. Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics.  United States.  https://doi.org/10.1109/tsg.2020.2978250

Copy to clipboard


                    Cao, Wenchao, Ma, Yiwei, Wang, Fei, Tolbert, Leon M., and Xue, Yaosuo. Tue .  
"Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics".  United States.  https://doi.org/10.1109/tsg.2020.2978250.  https://www.osti.gov/servlets/purl/1648986.

Copy to clipboard


                    
@article{osti_1648986,

  title        = {Low-Frequency Stability Analysis of Inverter-Based Islanded Multiple-Bus AC Microgrids Based on Terminal Characteristics},

  author       = {Cao, Wenchao and Ma, Yiwei and Wang, Fei and Tolbert, Leon M. and Xue, Yaosuo},

  abstractNote = {For system planning of three-phase inverter-based islanded ac microgrids, the low frequency instability issue caused by interactions of inverter droop controllers is a major concern. When internal control information of procured commercial inverters is unknown, impedance-based small-signal stability criteria facilitate prediction of resonances in medium and high frequency ranges, but they usually assume the grid fundamental frequency as constant and thus they are incapable of analyzing the low-frequency oscillation of the fundamental frequency in islanded microgrids. Aiming at solving this issue, this paper proposes two stability analysis methods based on terminal characteristics of inverters and passive connection network including the dynamics of the fundamental frequency for analysis of low-frequency stability in islanded multiple-bus microgrids. Based on the Component Connection Method (CCM) to systematically separate inverters from the passive connection network, a general approach is developed to model the microgrid as a multiple-input-multiple-output (MIMO) negative feedback system in the common system d-q reference frame. By applying the generalized Nyquist stability criterion (GNC) to the return-ratio and return-difference matrices of the MIMO system model, the low-frequency stability related to the fundamental frequency can be analyzed using the measured terminal characteristics of inverters. Finally, analysis and simulation of a 37-bus microgrid verify the effectiveness of the proposed stability analysis methods.},

  doi          = {10.1109/tsg.2020.2978250},

  journal      = {IEEE Transactions on Smart Grid},

  number       = 5,

  volume       = 11,

  place        = {United States},

  year         = {2020},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1109/tsg.2020.2978250

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

D–Q Impedance Based Stability Analysis and Parameter Design of Three-Phase Inverter-Based AC Power Systems

Journal Article Cao, Wenchao ; Ma, Yiwei ; Yang, Liu ; ... - IEEE Translations on Industrial Electronics

Small-signal stability is an important concern in three-phase inverter-based ac power systems. The impedance-based approach based on the generalized Nyquist stability criterion (GNC) can analyze the stability related with the medium and high-frequency modes of the systems. However,. the GNC involves the right-half-plane (RHP) pole calculation of return-ratio transfer function matrices, which cannot be avoided for stability analysis of complicated ac power systems. Therefore, it necessitates the detailed internal control information of the inverters, which is not normally available for commercial inverters. To address this issue, this paper introduces the component connection method (CCM) in the frequency domain for stabilitymore »« less
https://doi.org/10.1109/TIE.2017.2682027
A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design

Journal Article Patarroyo-Montenegro, Juan F. ; Vasquez-Plaza, Jesus D. ; Andrade, Fabio - Energies

In this work, a synchronous model for grid-connected and islanded microgrids is presented. The grid-connected model is based on the premise that the reference frame is synchronized with the AC bus. The quadrature component of the AC bus voltage can be cancelled, which allows to express output power as a linear equation for nominal values in the AC bus amplitude voltage. The model for the islanded microgrid is developed by integrating all the inverter dynamics using a state-space model for the load currents. This model is presented in a comprehensive way such that it could be scalable to any numbermore »« less
https://doi.org/10.3390/en13123279

Full Text Available
Distributed Control of Inverter-Interfaced Microgrids Based on Consensus Algorithm with Improved Transient Performance

Journal Article Duan, Jiajun ; Wang, Cheng ; Xu, Hao ; ... - IEEE Transactions on Smart Grid

Conventional control solutions of the inverter-interfaced microgrids are usually designed based on models with fully decoupled subsystems. The negligence of the strong coupling due to power lines impedance leads to large transient line currents, which might trigger false protection. Besides, the droop-based control methods unnecessarily introduce system frequency and voltage deviations. To overcome these issues, a novel distributed control scheme is proposed for the inverter-interfaced microgrids in this study. The objective of the primary control is to regulate the bus voltages and frequency while suppressing the transient line currents. The objective of secondary control is to maintain fair load sharing.more »« less
Cited by 25
https://doi.org/10.1109/TSG.2017.2762601

Full Text Available
A Linear Quadratic Regulator With Optimal Reference Tracking for Three-Phase Inverter-Based Islanded Microgrids

Journal Article Patarroyo-Montenegro, Juan F. ; Andrade, Fabio ; Guerrero, Josep M. ; ... - IEEE Transactions on Power Electronics

This article proposes a power sharing control method based on the linear quadratic regulator with optimal reference tracking (LQR-ORT) for three-phase inverter-based generators using inductor-capacitor-inductor (LCL) filters islanded mode. Compared to single-input single-output (SISO)-based controllers, the LQR-ORT controller increases robustness margins and reduces the quadratic value of the power error and control inputs during transient response. Supplementary loops are used to reduce frequency and voltage deviations in the ac bus without communications. The supplementary loop for voltage regulation is based on the droop controller by reducing direct and quadrature output voltages according to the active and reactive power demand. Amore »« less
https://doi.org/10.1109/TPEL.2020.3036594
Dynamic stability of electric power systems. Final report, September 1978-January 1982

Technical Report Sherkat, V R

Multi-input and multi-output frequency domain methods are developed and implemented for the study of power system dynamic stability and robustness of stability due to system parameter perturbations. The linearized dynamic model for an interconnected power system is cast into the form of a multivariable feedback system. A number of different multiple-input, multiple-output (MIMO) feedback configurations can be realized. Each of these model the linearized dynamics of the interconnected power system and retain the sparsity of the system. The stability of the feedback system is determined through the application of the Nyquist encirclement criterion to the determinant of the return-difference matrix.more »« less

Similar Records