The required number of solar panels to power a heat pump depends on various factors, including the power capacity of the heat pump, the energy efficiency of the system, the location, and the available solar hours. Here are some steps to make an estimate:

1. Determine the power capacity of the heat pump:

   • The power capacity of the heat pump is measured in kilowatts (kW). This capacity indicates how much energy the heat pump needs to heat your home.

2. Calculate the energy consumption of the heat pump:

   • The annual energy consumption of the heat pump is expressed in kilowatt-hours (kWh). This indicates how much electricity the heat pump consumes per year.

3. Determine the energy yield of solar panels:

   • The energy yield of solar panels is measured in kilowatt-hours per installed kilowatt-peak (kWh/kWp). This indicates how much electricity a solar panel produces on average per year, depending on the location.

4. Calculate the number of required solar panels:

   • The formula is: Number of solar panels = Annual energy consumption of the heat pump / Energy yield per solar panel.

Please note that this calculation is a rough estimate, and other factors may affect it, such as shading, the orientation of the solar panels, and the inverter output, etc.

Additionally, it is important to know that a heat pump is not continuously operational, as the demand for heating depends on the outside temperature. The actual number of required solar panels can therefore vary based on the specific conditions of the household and the region in which it is located. It is advisable to conduct a professional energy audit for a more accurate estimate.