If you dream about a generator that is producing electricity or power, it could symbolize a sense of personal strength or vitality, or a feeling that you are able to overcome challenges and achieve your goals.
If you dream about a generator that is used to power a specific device or appliance, it could symbolize a sense of support or resources that you have available to you in your waking life. For example, if the generator is powering a computer, it could symbolize the support and resources you have for reaching your goals or completing important tasks.
Also, if the generator in your dream is powering a party or celebration, it could symbolize a feeling of joy and celebration in your life.