A frequency coupling-based center-of-inertia frequency monitoring method under limited measurements
DOI:10.19783/j.cnki.pspc.260184
Key Words:center-of-inertia frequency  limited measurements  phasor measurement unit  frequency coupling  bi-level optimization
Author NameAffiliation
ZHOU Peng 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
PAN Xueping 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
GUO Jinpeng 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
GU Yujia 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
SUN Xiaorong 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
WEI Yongkai 1. College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
2. State Grid Ningxia Electric Power Co., Ltd. Electric Power Research Institute, Yinchuan 750001, China 
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Abstract:To address the high deployment cost of full-network phasor measurement units (PMUs) and the instability of single-point measurement accuracy in center-of-inertia (COI) frequency monitoring, this paper proposes a COI frequency monitoring method under limited measurements. Based on the network topology, electrical distance, and generator inertia parameters, a frequency coupling index is defined to formulate a monitoring node selection model. For a given monitoring scale, all candidate node combinations are evaluated, and the node set with the minimum coupling index is selected. The corresponding weighting coefficients are identified using a least-squares method with Tikhonov regularization. Furthermore, a bi-level optimization framework is developed to coordinate monitoring accuracy and PMU deployment cost. Specifically, the lower-level optimization determines the optimal node combination, while the upper-level optimization identifies the optimal monitoring scale through a normalized objective function by balancing accuracy and cost, ultimately yielding the globally optimal PMU deployment scheme. Simulation results on a modified IEEE 39-bus system demonstrate that the proposed scheme achieves the best tradeoff between monitoring performance and economic efficiency, while providing accurate COI frequency estimation under various load disturbances and generator-tripping conditions.
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