A novel two-dimensional Quad-stable stochastic resonance (NTDQSR) system is proposed in this paper to address the poor signal detection capability of the original one-dimensional Quad-stable stochastic resonance (ODQSR) system. Firstly, expressions for the equivalent potential function and the steady-state probability density (SPD) function of the system are derived to study the impact of parameters on it. Secondly, the system is simulated numerically, and the performance of NTDQSR system is evaluated under trichotomous noise in this paper, because trichotomous noise exists widely in practical applications. Finally, the genetic algorithm (GA) is used to optimize the system parameters, and NTDQSR system is applied to bearing fault detection. In LDK UER204 ring fault detection, MSNRG in NTDQSR system is 0.9927 dB and 0.4805 dB higher than ODQSR and under-damped Quad-stable stochastic resonance (UQSR) system. In the outer ring experiment on the experimental bench at CWRU, MSNRG in NTDQSR system is 0.7255dB and 0.0734dB higher than the other two systems, while in the inner ring experiment, MSNRG is 0.6535dB and 0.1943dB higher than the other two systems, respectively. NTDQSR system is compared with ODQSR and UQSR systems to verify the good application value of NTDQSR system in practical engineering.

针对原一维四稳态随机谐振(ODQSR)系统信号检测能力差的问题，本文提出了一种新型二维四稳态随机谐振(NTDQSR)系统。首先，推导了系统的等效势函数和稳态概率密度（SPD）函数的表达式，研究了参数对其的影响。其次，由于实际应用中广泛存在三分噪声，本文对系统进行了数值仿真，评估了NTDQSR系统在三分噪声下的性能。最后利用遗传算法（GA）对系统参数进行优化，并将NTDQSR系统应用于轴承故障检测。在LDK UER204环网故障检测中，NTDQSR系统中的MSNRG分别比ODQSR和欠阻尼四稳态随机谐振(UQSR)系统高0.9927 dB和0.4805 dB。在CWRU实验台的外环实验中，NTDQSR系统的MSNRG比其他两个系统高0.7255dB和0.0734dB，而在内环实验中，MSNRG比其他两个系统高0.6535dB和0.1943dB，分别。将NTDQSR系统与ODQSR、UQSR系统进行对比，验证了NTDQSR系统在实际工程中良好的应用价值。