Electrical energy storage system with battery power setpoint optimization based on battery degradation costs and expected frequency response revenue
An electrical energy storage system includes a battery configured to store and discharge electric power to an energy grid, a power inverter configured to use battery power setpoints to control an amount of the electric power stored or discharged from the battery, and a controller. The controller is configured to generate optimal values for the battery power setpoints as a function of both an estimated amount of battery degradation and an estimated amount of frequency response revenue that will result from the battery power setpoints.
1. An electrical energy storage system comprising:
a battery configured to store and discharge electric power to an energy grid;
a power inverter configured to use battery power setpoints to control an amount of the electric power stored or discharged from the battery; and
a controller configured to generate optimal values for the battery power setpoints as a function of both an estimated amount of battery degradation and an estimated amount of frequency response revenue that will result from the battery power setpoints.
2. The system of claim 1 , wherein the controller is configured to estimate the amount of battery degradation that will result from the battery power setpoints using a battery life model.
3. The system of claim 2 , wherein the battery life model is a parametric model comprising a regression coefficient for each of a plurality of variables in the battery life model;
wherein the controller is configured to perform a curve fitting process to determine values for the regression coefficients.
4. The system of claim 3 , wherein the curve fitting process comprises:
providing the power inverter with known battery power setpoints;
determining values for each of the plurality of variables in the battery life model based on the known battery power setpoints;
measuring an amount of battery degradation that results from the known battery power setpoints; and
using the values for each of the plurality of variables in the battery life model and the measured amount of battery degradation to determine the values for the regression coefficients.
5. The system of claim 1 , wherein the controller is configured to:
generate frequency regulation power setpoints based on a frequency of the energy grid;
generate ramp rate control power setpoints based on a power output of a photovoltaic field; and
combine the frequency regulation power setpoints and the ramp rate control power setpoints to generate the battery power setpoints.
6. The system of claim 1 , wherein the controller is configured to:
estimate a monetary cost of the battery degradation that will result from the battery power setpoints; and
generate the optimal values for the battery power setpoints by optimizing an objective function comprising the estimated amount of frequency response revenue and the monetary cost of the battery degradation that will result from the battery power setpoints.
7. The system of claim 6 , wherein the controller is configured to estimate the monetary cost of the battery degradation by:
determining a total loss in the frequency response revenue that will result from the battery power setpoints; and
calculating a present value of the total loss in the frequency response revenue.
8. The system of claim 1 , wherein the estimated amount of battery degradation comprises an estimated loss in battery capacity that will result from the battery power setpoints.
9. The system of claim 1 , wherein the controller is configured to generate the optimal values for the battery power setpoints by:
identifying constraints on a state-of-charge (SOC) of the battery;
determining a relationship between the SOC of the battery and the battery power setpoints; and
generating the optimal values of the battery power setpoints such that a predicted SOC of the battery during an optimization period does not violate the constraints on the SOC of the battery.
10. The system of claim 9 , wherein the controller is configured to generate the predicted SOC of the battery using a random walk model;
wherein the constraints on the SOC of the battery ensure that the battery will not become fully charged or fully depleted during the optimization period.
11. A method for operating an electrical energy storage system, the method comprising:
using a battery life model to identify a relationship between battery power setpoints and an estimated amount of battery degradation that will result from the battery power setpoints, the battery life model comprising a plurality of variables that depend on the battery power setpoints;
estimating an amount of frequency response revenue that will result from the battery power setpoints;
generating optimal values for the battery power setpoints as a function of both the estimated amount of battery degradation and the estimated amount of frequency response revenue that will result from the battery power setpoints; and
using the optimal values of the battery power setpoints to control an amount of electric power stored or discharged from a battery.
12. The method of claim 11 , wherein the battery life model is a parametric model comprising a regression coefficient for each of the plurality of variables in the battery life model.
13. The method of claim 12 , further comprising performing a curve fitting process to determine values for the regression coefficients.
14. The method of claim 13 , wherein the curve fitting process comprises:
providing a power inverter with known battery power setpoints;
determining values for each of the variables in the battery life model based on the known battery power setpoints;
measuring an amount of battery degradation that results from the known battery power setpoints; and
using the values for each of the variables in the battery life model and the measured amount of battery degradation to determine the values for the regression coefficients.
15. The method of claim 11 , further comprising:
generating frequency regulation power setpoints based on a frequency of an energy grid;
generating ramp rate control power setpoints based on a power output of a photovoltaic field; and
combining the frequency regulation power setpoints and the ramp rate control power setpoints to generate the battery power setpoints.
16. The method of claim 11 , further comprising estimating a monetary cost of the battery degradation that will result from the battery power setpoints;
wherein generating the optimal values for the battery power setpoints comprises optimizing an objective function comprising the estimated amount of frequency response revenue and the monetary cost of the battery degradation that will result from the battery power setpoints.
17. The method of claim 16 , wherein estimating the monetary cost of the battery degradation comprises:
determining a total loss in the frequency response revenue that will result from the battery power setpoints; and
calculating a present value of the total loss in the frequency response revenue.
18. The method of claim 11 , wherein the estimated amount of battery degradation comprises an estimated loss in battery capacity that will result from the battery power setpoints.
19. The method of claim 11 , wherein generating optimal values for the battery power setpoints comprises:
identifying constraints on a state-of-charge (SOC) of the battery;
determining a relationship between the SOC of the battery and the battery power setpoints; and
generating the optimal values of the battery power setpoints such that a predicted SOC of the battery during an optimization period does not violate the constraints on the SOC of the battery.
20. The method of claim 19 , further comprising generating the predicted SOC of the battery using a random walk model;
wherein the constraints on the SOC of the battery ensure that the battery will not become fully charged or fully depleted during the optimization period.