Delay-dependent stability of DC Microgrid with time-varying delay

2016 22nd International Conference on Automation and Computing (ICAC) Pub Date : 2016-09-01 DOI:10.1109/IConAC.2016.7604946

A. Khalil, Salma Elkawafi, Anass Ibrahim Elgaiyar, Jihong Wang

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引用次数: 10

Abstract

In order to optimize the efficiency of renewable energy sources they are connected in a form of AC and DC Microgrids. Furthermore the increased number of DC loads has shifted the view to DC Microgrids. This paper presents the stability and maximum time delay calculation for a DC Microgrid implementing master-slave control strategy. The communication between the master and the slave is achieved through communication network which makes the DC Microgrid a time delay system. A stability criterion based on Lyapunov-Krasovskii functional and replacing the delay term by Newton-Leibnitz formula is used to derive a set of linear matrix inequalities. The binary iteration algorithm is used to solve the set of linear matrix inequalities and to calculate the maximum allowable delay bound. The effects of the voltage controller gains on the maximum allowable delay bound are also investigated. Further, the relation between the maximum allowable delay bound and the time delay variation rate is studied. The results are tested through simulation using Matlab/Simulink.

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时变时滞直流微电网的时滞相关稳定性

为了优化可再生能源的效率，它们以交流和直流微电网的形式连接起来。此外，直流负载数量的增加使人们将目光转向了直流微电网。本文研究了采用主从控制策略的直流微电网的稳定性和最大时延计算。通过通信网络实现主从网之间的通信，使直流微电网成为一个时延系统。采用基于Lyapunov-Krasovskii泛函的稳定性判据，用Newton-Leibnitz公式代替时滞项，导出了一组线性矩阵不等式。采用二元迭代算法求解线性矩阵不等式集，并计算最大允许延迟界。研究了电压控制器增益对最大允许延迟界的影响。进一步研究了最大允许时延界与时延变化率的关系。结果通过使用Matlab / Simulink仿真测试。

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2016 22nd International Conference on Automation and Computing (ICAC)

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