Basic concepts: Analysis of LTI circuits in sinusoidal steady state

Abstract

This chapter is focused on the analysis of absolutely stable LTI circuits working in sinusoidal steady state. We show how to describe a circuit directly in the phasor domain, introduce the concepts of impedance and admittance, and describe how some properties, results, and methods introduced in Vol. 1 for memoryless circuits can be applied to memory circuits working in sinusoidal steady state. The important topic of power in sinusoidal steady state is also treated here, introducing Boucherot’s theorem, the power factor correction problem, and the maximum-power-transfer theorem. Finally, the frequency response of circuits is treated, with emphasis on resonant circuits.