Coupling Strength Allocation Strategy in Power Grids Based on Complex Network Theory

doi:10.19596/j.cnki.1001-246x.8500

Abstract

Abstract:

To explore allocation strategy of network coupling strength for improving performance of power grids, we analyze synchronizability of power grids by using critical synchronization coupling strength, and compare robustness of power grids by imposing disturbance power on network nodes. It is found that local topological structure and power of nodes in power grids restrict the local synchronizability of nodes. In general, the greater the power and the smaller the degree value of the node, the weaker its local synchronizability is. And it is more difficult for the node to reach a local synchronization state with its neighbors. Based on this, a non-uniform distribution strategy of network coupling strength is proposed. Keep the total coupling strength the same, we increase the coupling strength between nodes with weak local synchronizability, and reduce the coupling strength between nodes with strong local synchronizability. It shows that this method optimizes synchronizability of the network and enhance robust performance of power grids to a certain extent.

Key words: power grids, coupling strength, synchronization, robustness

Zheng GAO, Yanli ZOU, Junwan HU, Gaohua YAO, Tanghuimei LIU. Coupling Strength Allocation Strategy in Power Grids Based on Complex Network Theory[J]. Chinese Journal of Computational Physics, 2022, 39(5): 579-588.

Figures/Tables 9

Fig.1 Frequency offset varies with evolution time in IEEE standard test systems (a) and (c) Divergence of frequency offset towards two clusters at high and low oscillating frequencies before network synchronization in IEEE14 and IEEE118 systems; (b) and (d) Convergence of frequency offset towards common frequency in IEEE14 and IEEE118 systems

Fig.2 Topology of IEEE standard test systems (Pink triangles denote generators. Blue circles denote consumers.)(a) IEEE14 standard test system; (b) IEEE57 standard test system

Fig.3 Local order parameter varies with coupling strength (The blue and bold lines represent the generator nodes. Other lines represent the load nodes.)(a) IEEE14 standard test system; (b) IEEE57 standard test system

Fig.4 Critical synchronous coupling strength varies with line coupling strength dispersion rate in IEEE systems (a) IEEE14 standard test system; (b) IEEE118 standard test system

Fig.5 (a) Steady-state order parameter and (b) average frequency offset vary with average coupling strength in an IEEE14 system

Fig.6 (a) Steady-state order parameter and (b) average frequency offset vary with average coupling strength in an IEEE118 system

Fig.7 (a) Transmission power of each line and (b) number of failed lines vary with evolution time in IEEE14 system

Fig.8 Average number of failed lines varies with control parameter in IEEE systems (a) IEEE14 standard test system; (b) IEEE118 standard test system

Fig.9 Average number of failed lines varies with line coupling strength dispersion rate in IEEE systems (a) IEEE14 standard test system; (b) IEEE118 standard test system

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