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Node-wise robustness against fluctuations of power consumption in power grids |
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| Authors: | Motoki Nagata Naoya Fujiwara Gouhei Tanaka Hideyuki Suzuki Eiichi Kohda Kazuyuki Aihara |
| Institution: | 1. Graduate School of Information Science and Technology, The University of Tokyo, Tokyo, 113-8656, Japan 2. Institute of Industrial Science, The University of Tokyo, Tokyo, 153-8505, Japan 3. FIRST, Aihara Innovative Mathematical Modelling Project, Japan Science and Technology Agency, The University of Tokyo, Tokyo, 153-8505, Japan 4. Graduate School of Engineering, The University of Tokyo, Tokyo, 113-8656, Japan 5. CREST, JST, Saitama, 332-0012, Japan 6. Energy Engineering Research Laboratory, Central Research Institute of Electric Power Industry, Kanagawa, 240-0196, Japan |
| Abstract: | We propose a new concept of node-wise robustness of power grids under variation of effective power in one load node using a mathematical model that takes into account the change in voltage and reactive power of load nodes. We employ the topology of the power grid in eastern Japan. We define the robustness as the threshold value of the effective power, above which the steady state loses its stability. We show that the robustness is highly heterogeneous among the load nodes. We find that the shortest path length from generators is most highly correlated with the robustness of the load nodes. We numerically demonstrate that the supply of reactive power enhances the robustness. |
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