Multiple Time-delay Stability Analysis for the DC-Microgrid Cluster with Distributed Control

Abstract With the increasing availability of DC microgrids (MGs), the DC-MG cluster will develop quickly as the connection of different DC MGs. To alleviate the burden of the central control, the distributed control strategy is attracting more and more interests among researchers. Besides, the communication cost is obviously reduced with only one receiver of the global system information. However, the bidirectional neighboring communication will make the communication network more complex, which makes DC-MG cluster as a time-delay system. Moreover, the different time-delay values among neighboring MGs further deteriorate the whole system to a multiple time-delay issue. To maintain the stable operation of DC-MG cluster, the cluster treatment of characteristic roots (CTCR) is proposed in the work for the stability analysis considering the multiple time delays.

[1]  Fei Liang,et al.  Design/test of a hybrid energy storage system for primary frequency control using a dynamic droop method in an isolated microgrid power system , 2017 .

[2]  Nejat Olgaç,et al.  Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays , 2016, Autom..

[3]  Nejat Olgaç,et al.  Optimal sign inverting control for time-delayed systems, a concept study with experiments , 2015, Int. J. Control.

[4]  Bruce Nordman,et al.  A simulation-based efficiency comparison of AC and DC power distribution networks in commercial buildings , 2018 .

[5]  Nejat Olgaç,et al.  Combination of sign inverting and delay scheduling control concepts for multiple-delay dynamics , 2015, Syst. Control. Lett..

[6]  Nejat Olgaç,et al.  Stability analysis for LTI systems with multiple time delays using the bounds of its imaginary spectra , 2017, Syst. Control. Lett..

[7]  Nejat Olgac,et al.  Dixon Resultant for Cluster Treatment of LTI Systems with Multiple Delays , 2015 .

[8]  Nejat Olgaç,et al.  Critical Effects of the Polarity Change in Delayed States Within an LTI Dynamics With Multiple Delays , 2015, IEEE Transactions on Automatic Control.

[9]  Juan C. Vasquez,et al.  Hierarchical Control for Multiple DC-Microgrids Clusters , 2014, IEEE Transactions on Energy Conversion.

[10]  Yan Xu,et al.  DC Microgrid Stability Analysis Considering Time Delay in the Distributed Control , 2017 .

[11]  Rifat Sipahi,et al.  An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems , 2002, IEEE Trans. Autom. Control..

[12]  Nejat Olgac,et al.  Investigation of Local Stability Transitions in the Spectral Delay Space and Delay Space , 2014 .

[13]  Nejat Olgac,et al.  Equivalency of Stability Transitions Between the SDS (Spectral Delay Space) and DS (Delay Space) , 2013 .