Abstract
This paper proposes a new method for assessing the vulnerability of power systems based on the controllability theories of complex networks. A novel controllability index is established, taking into consideration the full controllability of the power systems, for identifying critical nodes. The network controllability model is used to calculate the minimum number of driver nodes (ND), which can solve the computable problems of the controllability of power systems. The proposed approach firstly applies the network controllability theories to research the power systems' vulnerability, which can not only effectively reveal the important nodes but also maintain full control of the power systems. Meanwhile, the method can also overcome the limitation of the hypothesis that the weight of each link or transmission line must be known compared with the existing literature. In addition, the power system is considered as a directed network and the power system model is also redefined. The proposed methodology is then used to identify critical nodes of the IEEE 118 and 300 bus system. The results show that the failure of the critical nodes can clearly increase ND and lead a significant driver node shift. Thus, the rationality and validity are verified.
Highlights
Over the last decades, a number of power system blackouts caused by natural disasters or human factors have occurred, which led to a series of serious effects on the functionality and reliability of the networks, economic growth, and social stability [1,2]
The main contributions of the paper are as follows: (1) Based on network controllability theories, a novel controllability index is established for assessing the vulnerability of power systems, which can effectively identify the critical nodes from the perspective of network controllability
It can be clearly seen that the minimum number of driver nodes obviously increases as the number of attacks increases, and there needs to be an increase of approximately nine driver nodes to maintain full control of the network, which means that the control robustness of the network is very poor under targeted attacks
Summary
A number of power system blackouts caused by natural disasters or human factors have occurred, which led to a series of serious effects on the functionality and reliability of the networks, economic growth, and social stability [1,2]. In [29], Liu et al extended the results in [26] and proposed a network controllability model to solve the computable problems of the network controllability It concluded that the minimum number of driver nodes can be calculated by the maximum matching method which was introduced in [30], and the structural controllability problem can be translated into an equivalent geometrical problem. Aforementioned discussions, this paper proposed a novel method for assessing the vulnerability of a power system based on structural controllability and the network controllability model. (1) Based on network controllability theories, a novel controllability index is established for assessing the vulnerability of power systems, which can effectively identify the critical nodes from the perspective of network controllability.
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