A Parallel-In-Time Adjoint Sensitivity Analysis for a B6 Bridge-Motor Supply Circuit

TL;DR

This paper introduces a parallel-in-time adjoint sensitivity analysis method that combines transient adjoint analysis with the parareal approach to significantly accelerate simulations in complex electrical circuits.

Contribution

It proposes a novel combination of adjoint sensitivity analysis with the parareal method to enhance computational efficiency in multi-parameter, time-dependent sensitivity calculations.

Findings

Speedup in adjoint sensitivity computations

Effective parallelization of time-dependent analysis

Potential for faster circuit optimization

Abstract

This paper presents a parallel-in-time adjoint sensitivity analysis which combines a transient adjoint sensitivity analysis with the parareal approach in order to significantly speed up the simulation. The adjoint method is the method of choice to calculate the sensitivities in a many-parameter setting. In order to obtain sensitivity information that is time-dependent, multiple adjoint problems must be solved. This slows down the simulation wall-clock time and leaves a large optimization potential for the analysis. The parareal is applied to the adjoint solution, significantly speeding up the adjoint solution for every timestep respectively.