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This method examines steady-state behavior in electrical circuits, using analytical voltage and Hilbert conversion.
A new approach to the expert analysis of steady-state electrical circuits using the concept of complex analytical voltage is proposed. The analysis is based on the idea that current in an electrical circuit flows as a result of the action of this analytical voltage. The actual voltage applied to an electrical circuit, as well as the voltage associated with it by the Hilbert conversion, are the result of vector decomposition of the analytical voltage into orthogonal components. The proposed approach avoids ambiguity in assessing the steady-state modes of an electrical circuit in cases where the shape of the voltage applied to the circuit does not match the shape of the current flowing through the circuit.
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Agunov et al. (2025) studied this question.
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