This article mathematically describes a three-phase, four-wire circuit in the case of a nonlinear, unbalanced load, asymmetry of the power source with a periodic, non-sinusoidal waveform. This description uses Currents' Physical Components (CPC) power theory for threephase circuits. Determining the energy flow between the source and the load is possible by decomposing the phase current into components depending on the physical nature of the phenomena in this circuit. Mathematical relationships were determined enabling decomposition into components depending on the direction of energy flow and the causes of their creation. A calculation example using the determined relationships and calculation results has been presented. The presented computational concept is important for mathematical analyzes in circuits with nonlinear three-phase receivers. Knowing the nature of physical phenomena, it is possible to perform measures that limit the value of the current supplying the load.
What the article talks about are the difficulties of figuring out how reliable the workings of a complicated technological object are, especially when using a five-valued logic-based diagnostic method. The foundation for conducting dependability studies on technological objects is the utilization of prepared models that depict operational processes. The present study aims to build and provide a comprehensive description of a five-state model that characterizes the operational process of the diagnosed facility. The operational states that hold significance are the states of the object being tested, as diagnosed within the framework of 5VL-value logic. The model of the exploitation process that was constructed was further validated using simulated experiments. The outcomes of these comparative tests yield the calculated probabilities of the tested thing existing in its distinct conditions. The estimated time frames of occurrence of the recognized states in the object were determined based on the probability of occurrence of the diagnostic states, which were derived from the reliability features of the tested object.
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