Small-Signal Stability Analysis and Performance Evaluation of Microgrids Under Distributed Control

Advantages of distributed control have been extensively discussed, while its impacts on microgrid performance and stability, especially in the case of communication latency, have not been explicitly studied or fully understood. This paper addresses this gap by proposing a generalized theoretical framework for small-signal stability analysis and performance evaluation for microgrids using distributed control. The proposed framework synthesizes generator and load frequency-domain characteristics, primary and secondary control loops, as well as the communication latency into a frequency-domain representation which is further evaluated by the generalized Nyquist theorem. In addition, various parameters and their impacts on microgrid dynamic performance are investigated and summarized into guidelines to help better design the system. Case studies demonstrate the effectiveness of the proposed approach.

[1]  P. Rangarajan,et al.  Delay-dependent Stability Analysis of Microgrid with Constant and Time-varying Communication Delays , 2016 .

[2]  A. G. J. MacFarlane,et al.  Complex Variable Methods for Linear Multivariable Feedback Systems , 1980 .

[3]  Wanxing Sheng,et al.  Self-Synchronized Synchronverters: Inverters Without a Dedicated Synchronization Unit , 2014, IEEE Transactions on Power Electronics.

[4]  Nicanor Quijano,et al.  Time-delay effect on load frequency control for microgrids , 2013, 2013 10th IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC).

[5]  Jie Duan,et al.  Distributed Adaptive Droop Control for Optimal Power Dispatch in DC Microgrid , 2018, IEEE Transactions on Industrial Electronics.

[6]  Kemal Akkaya,et al.  Customized Certificate Revocation Lists for IEEE 802.11s-Based Smart Grid AMI Networks , 2015, IEEE Transactions on Smart Grid.

[7]  Abbas Emami-Naeini,et al.  The generalized Nyquist criterion and robustness margins with applications , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[8]  Di Shi,et al.  Consensus-based distributed cooperative control for microgrid voltage regulation and reactive power sharing , 2014, IEEE PES Innovative Smart Grid Technologies, Europe.

[9]  Chia-Chi Chu,et al.  Consensus-Based Secondary Frequency and Voltage Droop Control of Virtual Synchronous Generators for Isolated AC Micro-Grids , 2015, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[10]  Kentaro Hirata,et al.  Spectrum of Monodromy Operator for a Time-Delay System With Application to Stability Analysis , 2015, IEEE Transactions on Automatic Control.

[11]  Qing-Long Han,et al.  $L_1$-Stochastic Stability and $L_1$-Gain Performance of Positive Markov Jump Linear Systems With Time-Delays: Necessary and Sufficient Conditions , 2017, IEEE Transactions on Automatic Control.

[12]  Annette Muetze,et al.  Small-Signal Stability Analysis of an Inverter-Based Microgrid With Internal Model-Based Controllers , 2018, IEEE Transactions on Smart Grid.

[13]  David Tipper,et al.  A Secure Communication Architecture for Distributed Microgrid Control , 2015, IEEE Transactions on Smart Grid.

[14]  Juan C. Vasquez,et al.  Robust Networked Control Scheme for Distributed Secondary Control of Islanded Microgrids , 2014, IEEE Transactions on Industrial Electronics.

[15]  Xinghuo Yu,et al.  Droop-Based Distributed Cooperative Control for Microgrids With Time-Varying Delays , 2016, IEEE Transactions on Smart Grid.

[16]  Jing Huang,et al.  Small-Signal Impedance Measurement of Power-Electronics-Based AC Power Systems Using Line-to-Line Current Injection , 2009, IEEE Transactions on Power Electronics.

[17]  Fei Wang,et al.  D–Q Impedance Based Stability Analysis and Parameter Design of Three-Phase Inverter-Based AC Power Systems , 2017, IEEE Transactions on Industrial Electronics.

[18]  M. Pipattanasomporn,et al.  Analysis of communication schemes for Advanced Metering Infrastructure (AMI) , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[19]  Josep M. Guerrero,et al.  Dynamic Phasors-Based Modeling and Stability Analysis of Droop-Controlled Inverters for Microgrid Applications , 2014, IEEE Transactions on Smart Grid.

[20]  Henk Nijmeijer,et al.  Predictor-based consensus control of a multi-agent system with time-delays , 2015, 2015 IEEE Conference on Control Applications (CCA).

[21]  Wim Michiels,et al.  Stability Analysis of Equilibria of Linear Delay Complementarity Systems , 2017, IEEE Control Systems Letters.

[22]  Mo-Yuen Chow,et al.  Convergence Analysis of the Incremental Cost Consensus Algorithm Under Different Communication Network Topologies in a Smart Grid , 2012, IEEE Transactions on Power Systems.

[23]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[24]  T.C. Green,et al.  Modeling, Analysis and Testing of Autonomous Operation of an Inverter-Based Microgrid , 2007, IEEE Transactions on Power Electronics.

[25]  Juan C. Vasquez,et al.  Small-Signal Analysis of the Microgrid Secondary Control Considering a Communication Time Delay , 2016, IEEE Transactions on Industrial Electronics.

[26]  Qingsong Liu,et al.  Input delay compensation for neutral type time-delay systems , 2017, Autom..

[27]  Wenshan Hu,et al.  Synchronization of Hybrid Microgrids with Communication Latency , 2015 .

[28]  Jian-Xin Xu,et al.  Consensus based approach for economic dispatch problem in a smart grid , 2013, IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society.

[29]  Xi Chen,et al.  A Distributed Cooperative Control Framework for Synchronized Reconnection of a Multi-Bus Microgrid , 2017, IEEE Transactions on Smart Grid.

[30]  Desong Bian,et al.  An Expert-based Approach for Demand Curtailment Allocation Subject to Communications and Cyber Security Limitations , 2017 .

[31]  Josep M. Guerrero,et al.  Secondary Control Strategies for Frequency Restoration in Islanded Microgrids with Consideration of Communication Delays , 2015 .

[32]  Qing-Chang Zhong,et al.  Synchronverters: Inverters That Mimic Synchronous Generators , 2011, IEEE Transactions on Industrial Electronics.