Analysis of the Single-phase Transformer with Fractional-order Electrical Load
This paper deals with the steady-state analysis of a single-phase transformer connected to lossy electrical loads. We consider only inductive load, which is assumed to have core loss present in it. Such analysis, which studies the impact of core loss in the load on the performance of the transformer has not been much addressed in the literature. One probable reason for this may be that the conventional integer-order (IO) model of a lossy inductive load is incomplete and is not very reliable. Also, from the analysis point of view, it is very tedious to use. But such study is extremely important, both from the design and operation point of view of the transformer, as majority of the loads connected to any transformer are inductive in nature with some inherent non-zero core loss. Modeling of lossy circuit elements using the framework of fractional calculus is a very new and promising field. The fractional-order (FO) models have provided better and reliable representations of the lossy inductors and capacitors. This paper, probably for the first time, employs an FO model of a lossy inductor to study the e ect of its core loss on various parameters of transformer. Quantification of core loss in the load is achieved by varying the non-integer order of fractional derivative of the model and the FO inductive reactance. Various observations like e ect of core loss on the secondary current and voltage, power factor, regulation, eciency, etc., of the transformer are reported in detail. The relationship between the performance of the transformer and the non-integer power of the FO load is established. It is found that the use of FO model of lossy elements greatly simplifies the analysis of such situations.
Single-phase transformer core loss in inductor fractional calculus fractional-order model.
Asha Kantekar Mukesh D. Patil Vishwesh A. Vyawahare
Department of Electronics Engineering, Ramrao Adik Institute ofTechnology, Nerul, Navi Mumbai 400 70 Department of Electronics Engineering, Ramrao Adik Institute of Technology, Nerul, Navi Mumbai 400 7
国际会议
The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)
南京
英文
1-8
2012-05-14（万方平台首次上网日期，不代表论文的发表时间）