An app-idea for people who want to increase their PV self-consumption. I'm thinking of using your house as a thermal buffer. Instead of having a setpoint temperature on your thermostat, you could set a temperature range. For example, you're comfortable with 18°-23° C. If the temperature is below 18 °C, always heat. If the temp is below 23 °C and you're returning (over) x amount of power to the net, also heat. This way you can heat your house to a higher than normal temperature, and use the extra thermal energy to get you through the night comfortably, to hopefully do the same thing the next day.
There could be more triggers for using the thermal buffers. Today for example, people with an hourly-variable electricity rate get paid to use electricity, due to a surplus of PV in the country (Netherlands):

(Source:
https://www.easyenergy.com/nl/energietarieven)
So you get paid to fill up your thermal buffer, and enjoy the heat of it in the evening and night. Would this be a useful app? Perhaps in the future, when netting (dutch: salderen) is not possible anymore.