# Load Characterization and Power Conditioner Synthesis Using Higher-Order Elements

## TL;DR

This paper introduces a novel approach to characterize nonlinear and time-varying loads using higher-order circuit elements like memristors, meminductors, and memcapacitors, and synthesizes power conditioners for load compensation.

## Contribution

It presents a new load characterization method based on higher-order elements and a synthesis technique for power conditioners, applicable to various power electronic loads.

## Key findings

- Effective load characterization using higher-order elements.
- Successful synthesis of power conditioners for specific loads.
- Potential for improved harmonic distortion mitigation.

## Abstract

It is shown that virtually all nonlinear and/or time-varying loads that generate harmonic current distortion can be characterized in terms of so-called higher-order circuit elements. The most relevant higher-order elements exploited in this paper are the memristor, meminductor, and memcapacitor. Such elements naturally arise by introducing constitutive relationships in terms of higher-order voltage and current differentials and integrals. Consequently, the power conditioner necessary to compensate for the load current distortions is synthesized similarly. The new characterization and compensation synthesis is applied to the half-wave rectifier and the controlled bridge converter.