@inbook{73198620993248adac73cfefa4dda42b,
title = "A Harmonic-Balance Power Flow Analysis Method for Nonlinear Vibration Systems",
abstract = "This paper presents the harmonic-balance-based power flow analysis (HB-PFA) method for nonlinear vibrating systems. A general power flow formulation for dynamics analysis of systems with various nonlinearities is firstly introduced. The formulation includes the derivation of energy and power balance equations, with each term representing a specific energy or power quantity. For periodic responses, approximate analytical solutions for power flow quantities are derived by the harmonic balance method. To illustrate the effectiveness of the method, a case study on the power flow of systems modelled by the Van der Pol oscillator is presented.",
keywords = "harmonic balance method, nonlinear vibrations, power flow analysis, energy flow, Van der Pol oscillator",
author = "Jian Yang and Cui Chao and Yuhao Liu",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.",
year = "2025",
doi = "10.1007/978-3-031-72794-8_7",
language = "English",
series = "IUTAM Bookseries",
publisher = "Springer Science and Business Media B.V.",
pages = "99--107",
booktitle = "IUTAM Bookseries",
address = "Germany",
}