To make the most sense of the dreams, it helps to connect them to your life at the moment. In dreams, external objects of people are not always external bur can rather represent certain parts of the dreamer's mind.
Repetitive dreams often reappear as a way to get the dreamer's attention and to lead to a solution to an issue.
In your dream, you find yourself where the lights do not serve their function. They also burn out. The light may be representative of a situation that you've been dealing with where you need more information in order to proceed/move on. Hence in the dream the lights do not turn on (lights here being representative of the information= as in to shed light onto things) The lights burning out can represent the fact that you may have already invested a lot of energy into this issue/situation and feel emotionally or mentally burned out yourself. A question to ask yourself then would be- what have I been dealing with most recently that had exhausted me and had still left me somewhat stuck at the moment? If the children were present in the dream, it may hint that this situation/issue in a way is also concerning them or their life at this time. If they were asleep in the dream, it shows that they are not really fully aware of what is it that you're dealing with. The dream is you own (not external evil) and it comes back to you to help you sort out whatever it is causing you anxiety or discomfort when you're awake in your life. You can use the dream(s) as a tool rather than fear it. Another question to ask yourself would be- are these dreams telling me?
If you feel that this is an external presence, it may be your mind picking up negative energy from other sources in your environment. To feel that something evil can also be something such as other people's negativity that you're registering (it does not have to be a demonic or evil presence from a supernatural source)
This may be as as a result of other's thought forms can cause this sort of a reaction if you're sensitive to the energies in your environment. The energy is as real as anything else. The fact that you perceive it strongly may indicate that you're uncomfortable with this because it evokes not only a sense of fear but also of helplessness. Yet, you can in fact protect yourself and the children by redirecting your own thoughts and subsequent emotions to something positive. In this way it neutralizes the fear meaning the more you focus on the negative, you'd attract more negative. When you on the other hand focus on the positive it counteracts the negative. This negative "presence" can signigy an obstacle, a person or the actual thought forms from another you're dealing with.