Sound field active control method based on minimum space square sound pressure

Abstract To reduce low-frequency radiation noise from underwater structures, this study proposes a sound field control method based on minimizing total radiated energy. In this approach, radiated sound energy is used as the control variable, and the optimal phase configuration of the secondary sound source is obtained by solving the source intensity matrix. This configuration minimizes total energy in the sound field, enabling effective low-frequency noise control. Numerical simulations were conducted to evaluate the control performance and underlying acoustic mechanisms. The results indicate that noise reduction improves as the secondary source approaches the primary source and as the error point is positioned farther away. In the proposed model, the maximum reduction in radiated sound power reached 44.6 dB. The secondary source regulates the sound field primarily by modifying the radiation impedance of the primary source, thereby redirecting energy flow and preventing part of the acoustic energy from propagating outward, which reduces total radiated energy.