有限量测下基于频率耦合程度的惯性中心频率监测方法OA

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.