电力系统保护与控制2026，Vol.54Issue(16)：58-68,11.DOI:10.19783/j.cnki.pspc.260184
有限量测下基于频率耦合程度的惯性中心频率监测方法
A frequency coupling-based center-of-inertia frequency monitoring method under limited measurements
摘要
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.关键词
惯性中心频率/有限量测/相量测量装置/频率耦合程度/双层优化Key words
center-of-inertia frequency/limited measurements/phasor measurement unit/frequency coupling/bi-level optimization引用本文复制引用
周鹏,潘学萍,郭金鹏,顾雨嘉,孙晓荣,魏永凯..有限量测下基于频率耦合程度的惯性中心频率监测方法[J].电力系统保护与控制,2026,54(16):58-68,11.基金项目
This work is supported by the National Natural Science Foundation of China(No.52407094 and No.52477089). 国家自然科学基金项目资助(52407094,52477089) （No.52407094 and No.52477089）
内蒙古自治区通辽市科技"突围"项目资助(TL2025TW003) （TL2025TW003）
