Yes, there is a relationship between the speed of the shaded pole motor and the noise level of the fan. Generally, higher speeds cause the fan to generate more noise.

The noise of the fan is mainly caused by the following aspects:

1. Air flow noise: When the fan rotates, the fan blades interact with the surrounding air to generate air flow noise. Higher speeds result in faster air flow speeds, which increases the intensity of air flow noise.

2. Mechanical vibration noise: When the shaded pole motor rotates at high speeds, these vibrations are transmitted to the fan structure and generate noise. Higher speeds increase the frequency and amplitude of mechanical vibrations, resulting in higher noise levels.

3. Electromagnetic noise: When the shaded pole motor is working, it generates an electromagnetic field, which may cause electromagnetic noise. Higher speeds usually increase the current and magnetic field strength of the motor, which in turn increases the generation of electromagnetic noise.

Therefore, when the speed of the shaded pole motor increases, the noise level of the fan tends to increase. To reduce fan noise, the following measures can be taken:

- Optimize the fan blade design to reduce air flow noise.

- Improve the manufacturing quality and balance of the shaded pole motor to reduce mechanical vibration noise.

- Optimize motor design to reduce electromagnetic noise generation.

In practical applications, oven manufacturers usually consider the noise level when designing and selecting shaded pole motors to provide lower noise fan operation.