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A programmable frequency scan algorithm based on harmonic balance

delete2026-03-01
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PRE
AI
L
Lu Miao
W
Wenyan Jia
J
Jinchang Chen
Y
Yang Yi
L
Li, Shun
Q
Qirong Jiang
C
Chongbin Zhao *
DOI:10.23919/IEN.2026.0005delete
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Abstract

Abstract

En 中文
This paper presents a programmable frequency scan algorithm based on harmonic balance. The core idea involves treating systems under perturbation as nonlinear time-periodic (NTP) systems. Steady-state harmonics are first solved via Newton-Raphson iteration through a set of nonlinear equations, and then input-output variables are selected to estimate the linear transfer function of the original NTP system without perturbations. The applications and insights of the proposed algorithm are discussed, particularly in guiding existing frequency scan algorithms, which are restricted by time-domain signal generation or measurement. This improvement is achieved through linear stability analysis of NTP systems with perturbations.
Keywords:
Harmonic analysis
Time-domain analysis
Perturbation methods
Transfer functions
Time-frequency analysis
Steady-state
Mathematical models
Frequency measurement
Computational modeling
Power harmonic filters
Frequency scan
Nonlinear time-periodic system
Impedance model
Harmonic balance
Stability analysis

Journal

I
iEnergy
IF:
5.1
Papers:
15
Citations:
0

Organization

T
tsinghua university
Scholars:
11.7W
Papers: 10.0W
Citations: 137