IEEE Transactions on Power Systems · 2021 · 10 citations · 23 references
EngineeringSystems EngineeringElectric MachinesModel-based Systems EngineeringSystem DynamicsDynamic Response AnalysisLoad AnalysisState EstimationSystem IdentificationFokker - Planck EquationFokker-planck EquationsFokker-planck TheoryInduction Motor DrivesLoad ModelingModel ReductionSystem Stability AnalysisVariable-frequency Drives
Accurate load modeling is critical for credible power system stability analysis. Because of the increasing complexity in modern system load, establishing a more comprehensive load model and performing accurate parameter estimation are the two biggest challenges in composite load modeling. In this paper, an induction motor with variable frequency drive (IM-VFD) together with the traditional ZIP+IM model is utilized to describe the dynamic characteristics of the system load. We estimate the time-varying probabilistic distributions of all states and parameters to describe their stochastic characteristics, thereby representing the real-time varying features of an actual load. The Fokker-Planck operator is applied to linearize the updated load model in tensor format. We then use tensor decomposition to reduce the computational and storage costs for calculating load model parameters. A sensitivity indicator is used to analyze the sensitivities of the estimated parameter distributions for subsequent model reduction. Simulations demonstrate that the updated load model has better performance than the traditional ZIP+IM model.
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Tensor Decompositions and Applications
Tamara G. Kolda, Brett W. Bader · SIAM Review · 2009 · 10.5K citations
Conditioning of quasi-Newton methods for function minimization
David F. Shanno · Mathematics of Computation · 1970 · 3.7K citations · Full text
Anmar Arif, Zhaoyu Wang, Jianhui Wang et al. · IEEE Transactions on Smart Grid · 2017 · 477 citations · Full text
Engineering, Electrical Engineering, Systems Engineering +17