IEEE Transactions on Power Systems · 2014 · 31 citations · 20 references
EngineeringElectrical EngineeringRenewable Energy SystemsStochastic ModelingUncertainty QuantificationDistributed Energy ResourcesPower Grid AnalysisPower SystemsSimulation MethodsSmart Grid SystemsSmart GridsDistributed GenerationDistribution Network ModelingElectric Power System ModelingGridsStochastic SimulationVoltage
Without appropriate counteraction, the high amount of installed distributed generators (DG) at the low-voltage distribution level may cause overloading of electrical equipments and violation of voltage limits in many grids. Because of the historically grown low-voltage grids and their local and geographic dependencies, complex grid structures can be found. Thus, the discrimination of grids concerning their DG capacity is a difficult task. We propose a novel three-step classification strategy to distinguish various kinds of low-voltage grids regarding their DG capacity. Our method is based on a stochastic simulation procedure and a subsequent parametric stochastic modeling, which allows for a probability based classification approach. The classification results can be regarded as probabilistic class memberships or, if sharp memberships are required, the class with the maximum probability can be selected. The proposed approach will not only help distribution system operators to face the challenges in future grid planning and focus their work on further enhancement of weak grid structures, but it will also be valuable in choosing relevant grids for detailed surveys. To demonstrate that our approach actually leads to meaningful classification results for real low-voltage grids, we empirically evaluate the results for 300 real rural and suburban grids by comparing them to classification assessments of experts from distribution grid planning practice.
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Classical and Modern Regression with Applications
Eric R. Ziegel, Raymond H. Myers · Technometrics · 1991 · 2.4K citations