Periodic Adjoint Sensitivity Analysis

TL;DR

This paper introduces a novel method combining periodic Parareal algorithms with a modified adjoint sensitivity analysis to efficiently compute sensitivities in steady-state, time-periodic nonlinear circuits.

Contribution

It presents a new approach that integrates periodic Parareal methods with a modified transient adjoint formulation for improved efficiency.

Findings

Efficient sensitivity analysis for steady-state periodic circuits.

Integration of Parareal with adjoint methods reduces computational cost.

Validated approach for nonlinear circuit applications.

Abstract

This paper proposes the utilization of a periodic Parareal with a periodic coarse problem to efficiently perform adjoint sensitivity analysis for the steady state of time-periodic nonlinear circuits. In order to implement this method, a modified formulation for adjoint sensitivity analysis based on the transient approach is derived.