Department of Information Security and Communication Technology, Norwegian University of Science and Technology, N-2815 Gjøvik, Norway.
Sensors (Basel). 2021 Mar 1;21(5):1685. doi: 10.3390/s21051685.
Contemporary Critical Infrastructures (CIs), such as the power grid, comprise cyber physical systems that are tightly coupled, to form a complex system of interconnected components with interacting dependencies. Modelling methodologies have been suggested as proper tools to provide better insight into the dependencies and behavioural characteristics of these complex systems. In order to facilitate the study of interconnections in and among critical infrastructures, and to provide a clear view of the interdependencies among their cyber and physical components, this paper proposes a novel method, based on a graphical model called Modified Dependency Structure Matrix (MDSM). The MDSM provides a compact perspective of both inter-dependency and intra-dependency between subsystems of one complex system or two distinct systems. Additionally, we propose four parameters that allow the quantitative assessment of the characteristics of dependencies, including multi-order dependencies in large scale CIs. We illustrate the workings of the proposed method by applying it to a micro-distribution network based on the G2ELAB 14-Bus model. The results provide valuable insight into the dependencies among the network components and substantiate the applicability of the proposed method for analyzing large scale cyber physical systems.
当代关键基础设施（Critical Infrastructures，简称 CIs），如电网，包含紧密耦合的网络物理系统，形成一个由相互关联的组件组成的复杂系统，具有相互作用的依赖性。建模方法已被建议作为提供对这些复杂系统的依赖性和行为特征更好的洞察力的适当工具。为了促进对关键基础设施内部和之间的互联的研究，并提供对其网络和物理组件之间相互依赖关系的清晰视图，本文提出了一种新方法，基于一种称为修改依赖结构矩阵（Modified Dependency Structure Matrix，简称 MDSM）的图形模型。MDSM 为一个复杂系统或两个不同系统的子系统之间的相互依赖关系和内部依赖关系提供了一个简洁的视角。此外，我们提出了四个参数，允许对依赖关系的特征进行定量评估，包括大规模 CIs 中的多阶依赖关系。我们通过将其应用于基于 G2ELAB 14-Bus 模型的微分配网络来演示所提出方法的工作原理。结果提供了对网络组件之间依赖关系的有价值的见解，并证实了所提出的方法在分析大规模网络物理系统中的适用性。
