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<p>While non-resonant external forcing has proven effective in suppressing self-excited thermoacoustic oscillations in single oscillators, its application to systems consisting of multiple coupled oscillators remains poorly understood. This numerical study investigates external dual forcing for oscillation suppression in a system of two mutually coupled thermoacoustic oscillators, each modeled as a horizontal electrically heated Rijke tube. We demonstrate that symmetric dual forcing (equal energy distribution) achieves superior oscillation suppression, reducing global thermoacoustic amplitudes by up to 60% compared to single forcing at equivalent total energy. Spectral power analysis reveals that this enhancement arises from additional energy dissipation during inter-oscillator transfer under single forcing conditions. Furthermore, the control effectiveness can be enhanced—achieving an additional amplitude reduction of up to 5<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11071_2025_11704_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation>—by carefully modulating the phase difference between the two forcing inputs. In contrast, detuning the forcing frequencies degrades suppression performance. These findings establish a theoretical basis for developing effective dual-forcing control strategies in coupled thermoacoustic systems and offer new insights into the underlying control mechanisms.</p>

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Dynamics of two mutually coupled thermoacoustic oscillators under external dual forcing

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月25日

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  • Chenjun Zhao,
  • Liheng Zheng,
  • Jie Zhou,
  • Yu Guan

摘要

While non-resonant external forcing has proven effective in suppressing self-excited thermoacoustic oscillations in single oscillators, its application to systems consisting of multiple coupled oscillators remains poorly understood. This numerical study investigates external dual forcing for oscillation suppression in a system of two mutually coupled thermoacoustic oscillators, each modeled as a horizontal electrically heated Rijke tube. We demonstrate that symmetric dual forcing (equal energy distribution) achieves superior oscillation suppression, reducing global thermoacoustic amplitudes by up to 60% compared to single forcing at equivalent total energy. Spectral power analysis reveals that this enhancement arises from additional energy dissipation during inter-oscillator transfer under single forcing conditions. Furthermore, the control effectiveness can be enhanced—achieving an additional amplitude reduction of up to 5 \(\%\) % —by carefully modulating the phase difference between the two forcing inputs. In contrast, detuning the forcing frequencies degrades suppression performance. These findings establish a theoretical basis for developing effective dual-forcing control strategies in coupled thermoacoustic systems and offer new insights into the underlying control mechanisms.