基于复杂网络理论的电网耦合强度分配策略

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

摘要/Abstract

摘要：

为探究提高电网性能的线路耦合强度分配方法, 用临界同步耦合强度描述电网的同步能力, 通过对网络节点施加扰动功率的方式攻击电网来分析其动态鲁棒性。研究发现: 电网节点的局部拓扑结构和功率约束着节点的局部同步能力。一般情况下, 节点功率越大, 度值越小, 它的局部同步能力就越弱, 该节点与其邻居节点就越难达到局部同步状态。基于节点的局部同步能力, 提出一种输电线路耦合强度的非均匀分配策略, 即在网络总耦合强度不变的情况下, 适当增大局部同步能力较弱节点间线路的耦合强度, 减小局部同步能力较强节点间线路的耦合强度。研究表明: 这种方法可以在一定程度上优化网络的同步能力, 增强电网的鲁棒性。

关键词: 电网, 耦合强度, 同步, 鲁棒性

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

高正, 邹艳丽, 胡均万, 姚高华, 刘唐慧美. 基于复杂网络理论的电网耦合强度分配策略[J]. 计算物理, 2022, 39(5): 579-588.

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.

图/表 9

图1 IEEE标准测试系统的网络频偏随演化时间变化(a)、(c) IEEE14和IEEE118系统的网络频偏向高频振荡和低频振荡两个集群进行发散；(b)、(d) IEEE14和IEEE118系统的网络频偏向标准工作频率进行汇聚

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

图2 EEE标准测试网络拓扑结构 (品红色三角形表示发电机节点, 蓝色圆形表示负载节点。)(a) IEEE14标准测试网络; (b) IEEE57标准测试网络

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

图3 局部平均序参数随耦合强度的变化 (蓝色粗线代表发电机节点, 其它颜色折线代表负载节点。)(a) IEEE14标准测试网络; (b) IEEE57标准测试网络

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

图4 网络的临界同步耦合强度均值随线路耦合强度离散率的变化(a) IEEE14标准测试网络; (b) IEEE118标准测试网络

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

图5 IEEE14节点系统(a)稳态序参数, (b)平均频偏随平均耦合强度的变化

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

图6 IEEE118节点系统(a)稳态序参数, (b)平均频偏随平均耦合强度的变化

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

图7 IEEE14节点系统(a)各线路的传输功率, (b)失效连边总数随演化时间的变化

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

图8 IEEE网络中平均失效线路总数随容量控制参数的变化(a) IEEE14标准测试网络; (b) IEEE118标准测试网络

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

图9 IEEE网络中平均失效线路总数随线路耦合强度离散率的变化(a) IEEE14标准测试网络; (b) IEEE118标准测试网络

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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