Methods and systems for measuring state of charge of a phase change material thermal battery
A thermal battery system may be provided comprising: a vessel comprising a phase change material and a gas; a heat exchanger configured to transfer heat to and/or from the phase change material; a temperature sensor configured to detect an indication of a temperature of the gas; a pressure sensor configured to detect an indication of a pressure of the gas; and a processor configured to determine a state of charge of the thermal battery system from the indication of the pressure and the indication of the temperature of the gas.
1. A method of determining a capacity of a thermal battery, comprising:
transferring heat to and/or from a phase change material in a vessel via a heat exchanger;
detecting an indication of a plurality of temperatures corresponding to a plurality of volumes of the phase change material with a plurality of temperature sensors; and
determining a real-time heat duty of the phase change material from the indication of the temperatures corresponding to the volumes of the phase change material with temperature sensors,
wherein the vessel further comprises a gas that is adjacent to the phase change material, the method further comprising:
detecting an indication of a temperature of the gas with a temperature sensor;
detecting an indication of a pressure of the gas with a pressure sensor; and
determining a state of charge of the phase change material from the indication of the pressure of the gas and the indication of the temperature of the gas, wherein the state of charge of the phase change material is determined from the indication of the pressure of the gas and the indication of the temperature of the gas by determining a total volume of the gas from the indication of the pressure and the indication of the temperature of the gas and determining a total volume of the phase change material by subtracting the total volume of the gas from the volume of the vessel.
2. The method of claim 1 further comprising determining the real-time heat duty of the phase change material by determining a real-time heat duty for each of the volumes of the phase change material based on a heat transfer area and thermal resistance at locations in the heat exchanger associated with the volumes and by summing the real-time heat duty for each of volumes.
3. The method of claim 1 , wherein the state of charge of the phase change material is further determined by determining an average density of the phase change material as the mass of the phase change material divided by the total volume of the phase change material, and looking up the state of charge in a mapping that maps phase change material densities to the state of charge of the phase change material or to an enthalpy of the phase change material.
4. The method of claim 1 , wherein the state of charge of the phase change material is further determined by determining an average density of the phase change material as the mass of the phase change material divided by the total volume of the phase change material, and determining an enthalpy of the phase change material from the average density of the phase change material.
5. A method of determining a capacity of a thermal battery, comprising:
transferring heat to and/or from a phase change material in a vessel via a heat exchanger;
detecting an indication of a plurality of temperatures corresponding to a plurality of volumes of the phase change material with a plurality of temperature sensors;
determining a real-time heat duty of the phase change material from the indication of the temperatures corresponding to the volumes of the phase change material with temperature sensors and by determining a real-time heat duty for each of the volumes of the phase change material based on a heat transfer area and thermal resistance at locations in the heat exchanger associated with the volumes and by summing the real-time heat duty for each of volumes.
6. A method of determining a capacity of a thermal battery, comprising:
transferring heat to and/or from a phase change material in a vessel via a heat exchanger;
detecting an indication of a plurality of temperatures corresponding to a plurality of volumes of the phase change material with a plurality of temperature sensors, wherein the volumes are arranged in a matrix within the vessel; and
determining a real-time heat duty of the phase change material from the indication of the temperatures corresponding to the volumes of the phase change material with temperature sensors and by determining a real-time heat duty for each of the volumes of the phase change material based on a heat transfer area and thermal resistance at locations in the heat exchanger associated with the volumes and by summing the real-time heat duty for each of volumes.
7. The method of claim 6 , wherein the vessel further comprises a gas that is separate from the phase change material, the method further comprising:
detecting an indication of a temperature of the gas with a temperature sensor;
detecting an indication of a pressure of the gas with a pressure sensor; and
determining a state of charge of the phase change material from the indication of the pressure of the gas and the indication of the temperature of the gas.
8. The method of claim 7 , wherein the state of charge of the phase change material is determined from the indication of the pressure of the gas and the indication of the temperature of the gas when the temperatures corresponding to the volumes of the phase change material is less than a predetermined temperature, and the state of charge of the phase change material is determined by integrating the real-time heat duty of the phase change material over time when the temperatures corresponding to the volumes of the phase change material is greater than the predetermined temperature.
9. The method of claim 7 , wherein the state of charge of the phase change material is determined from the indication of the pressure of the gas and the indication of the temperature of the gas by determining a total volume of the gas from the indication of the pressure and the indication of the temperature of the gas and determining a total volume of the phase change material by subtracting the total volume of the gas from the volume of the vessel.
10. The method of claim 8 , wherein the state of charge of the phase change material is determined by determining an average density of the phase change material as the mass of the phase change material divided by the total volume of the phase change material, and looking up the state of charge in a mapping that maps phase change material densities to the state of charge of the phase change material or to an enthalpy of the phase change material.
11. The method of claim 7 , wherein the state of charge of the phase change material is determined by determining an average density of the phase change material as the mass of the phase change material divided by a total volume of the phase change material, and determining an enthalpy of the phase change material from the average density of the phase change material.