Abstract
The importance of transformers, with their role in transmission and distribution of electrical power and with the effect of their performance on the system, is an obvious axiom in the modern day’s power systems. In addition to their momentous share in the capital investment of a power system, transformer outages have a considerable economic impact on the operation of the power systems.
In the course of continuous efforts to make the existing power network smarter and efficient, thermal modeling and monitoring of transformers has become important in the field of transformer engineering. With all the advances in the design techniques as well as material engineering, it is the transformer thermal limitations that decide the loading and designing of the transformer from the purview of user as well as manufacturer. With the research in power systems on the whole progressing towards development of a ‘smart grid’, which infers that each of the equipment should be ‘smart’, that includes that the monitoring of each individual equipment should be intelligent, accurate as well as fast and economical, the problem of thermal Modeling of transformers has been gaining momentum all the more.
The maximum temperature in the transformer interior is a significant parameter governing a transformer’s performance and life expectancy. Though the temperature rise in the transformer interior by itself may not have immediate effects, it does trigger other undesirable consequences like excessive deterioration of insulation, which in the long run will reduce the life of the transformer, thus affecting the economics of the power system. Thus the possible maximum temperature rise in the transformer for certain kind of loading needs to be estimated so as to be able to decide on the operational conditions as well as estimate the remaining life of the transformer and plan accordingly. In the perspective of the user, temperatures in a transformer are important to determine the amount and duration of over load it can sustain, and to estimate the effects on the life of the transformer by operation at various temperatures. For a transformer design engineer, prediction of temperatures at various points becomes necessary to determine the amount of copper to place in the coils, leads and outlet bushings, type of cooling and ducts, position of ducts, insulation class, design and settings of control equipment. Apart from this, increased market competency demands for accurate determination of the thermal profile across the transformer, which might result in a more economical as well as efficient manufacturing.
Existing thermal models calculate the winding hotspot temperature and top oil temperature using the lumped values of heat generation inside the transformer and the rate of heat transfer and retention in the surrounding media that finally result in the temperature rise. The heat generation is due to the energy losses in the transformer which are the iron losses in the core and ohmic losses in the coils. These temperatures served as an index for the interior temperature rise in the transformer. To calculate the hotspot temperatures, the existing models used the lumped values of losses and lumped values of heat transfer and retention in the different media that surrounded the heat generating elements and the loss distribution across the transformer geometry was not calculated and used in those models. However, advancements in computing capabilities and ever ongoing research enables better transformer interior temperature modeling, which may be a better indicator of transformer thermal status. In the current work, the use of finite element analysis technique was made to calculate the loss distribution across the transformer geometry, which is a different approach. With the calculation of loss distribution across the transformer geometry, the current work proposes a new approach for thermal model of transformer and discusses the development of this thermal model that aims at computing the interior temperatures at different as well as desired points across the transformer geometry. The proposed thermal model has been successfully implemented on four real transformer data to calculate the thermal profiles of transformers that show the real life use of proposed thermal model.