Abstract. One can offer based on the solution of the heat equation and the heat balance equation a mathematical model of steady thermal regime of the conductor, which allows to determine the temperature of bare and insulationcovered conductors of overhead power lines, considering weather conditions, as well as to perform the calculation of electricity losses with conductors temperature. The expressions are for the gradient of temperature distribution in the current-carrying conductor, as well as conductor insulation with and without dielectric losses. The accuracy of the created model is checked when compared with the methods of CIGRE, IEEE and the Finite Element Method. High precision of matching results is achieved.

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This paper presents a review of application of discrete wavelet transform in power system transient analyses. Based on the discrete time domain approximation, the system components such as resistor and inductor are modeled respectively in discrete wavelet domain for the purpose of transient and steady state analyses. Numerical results for transient inductor model can be implemented by any kind of power system including normal and emergency operating modes. Streszczeni. W artykule przedstawiono przegląd stosowania dyskretnej transformaty falkowej do analizy stanów nieustalonych systemu elektroenergetycznego. W oparciu o dyskretne zbliżenia w dziedzinie czasu, elementy systemu, takie jak rezystor i cewki indukcyjnej są modelowane jako odpowiednie dyskretne domeny falkowe. (Zastosowanie transformaty falkowej do analizy stanów nieustalonych systemu elektroenergetycznego)

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