Sensitivity analysis of periodically switched linear circuits using an adjoint network technique

An adjoint network-based frequency-domain method for sensitivity analysis of periodically switched linear (PSL) circuits is presented. The incremental form of Tellegen's theorem for PSL circuits in phasor domain is introduced and the closed form expressions of frequency-domain sensitivity of PSL circuits are obtained. The method yields sensitivities with respect to all circuit elements in one frequency analysis. It is shown that both the baseband and sideband components of the network variables contribute to the baseband sensitivity. It is also demonstrated that the sensitivity of linear time-invariant (LTI) circuits is a special case of that of general PSL circuits. Numerical results computed using the proposed method are compared with those from other CAD tools.