Synthetic inertia for energy systems
Methods, systems, apparatuses, and non-transitory computer-readable media are provided for synthetic inertia for energy systems. In one implementation, the computer-readable media may include instructions to cause a processor to: obtain a rate of change of a frequency of alternating current of an electrical grid; determine a mapping between the rate of change of the frequency and an amount of change of output power for energy storage unit(s) coupled to the electrical grid; calculate, based on the mapping and the rate of change of the frequency, an amount of change of the output power for the energy storage unit(s); determine, based on a reference output power and the calculated amount of change, an adjusted output power; and configure, based on the adjusted output power, the energy storage unit(s) to output electricity to the electrical grid.
1 . A system comprising:
one or more energy storage units coupled to an electrical grid; and
a computing device comprising at least one processor and at least one memory storing instructions that, when executed by the at least one processor, cause the computing device to:
obtain a rate of change of a frequency of alternating current of the electrical grid;
determine a mapping between the rate of change of the frequency and an amount of change of output power for the one or more energy storage units;
calculate, based on the mapping and the rate of change of the frequency, an amount of change of the output power for the one or more energy storage units;
determine, based on a reference output power for the one or more energy storage units and the calculated amount of change, an adjusted output power; and
configure, based on the adjusted output power, the one or more energy storage units to output electricity to the electrical grid.
2 . The system of claim 1 , wherein the rate of change of the frequency is based on measurements obtained at one or more of:
a high voltage section of the electrical grid; or
a medium voltage section of the electrical grid.
3 . The system of claim 1 , wherein the instructions, when executed by the at least one processor, cause the computing device to obtain the rate of change of the frequency by one or more of:
receiving the rate of change of the frequency from a metering unit; or
receiving measurements of the frequency and calculating the rate of change of the frequency based on the measurements of the frequency.
4 . The system of claim 1 , wherein the mapping comprises a plurality of ratios, and wherein each ratio of the plurality of ratios is a constant value applicable to a particular range of a plurality of ranges of the rate of change of the frequency.
5 . The system of claim 4 , wherein the plurality of ranges are non-overlapping.
6 . The system of claim 4 , wherein each ratio of the plurality of ratios indicates a variation in an amount of change of the output power divided by a corresponding change in the rate of change of the frequency, and wherein two or more of the plurality of ratios are different for different ranges of the rate of change of the frequency.
7 . The system of claim 4 , wherein the instructions, when executed by the at least one processor, cause the computing device to:
determine amounts of differential output power of the one or more energy storage units allocated for the plurality of ranges of the rate of change of the frequency, wherein the differential output power is additive to or subtractive from the reference output power; and
calculate, based on the amounts of the differential output power and the plurality of ranges, the plurality of ratios.
8 . The system of claim 1 , wherein the mapping comprises a piecewise linear function defining a relationship between the rate of change of the frequency and an amount of change of the output power for the one or more energy storage units, and wherein a graph of the piecewise linear function comprises a plurality of line segments having different values of slope.
9 . The system of claim 1 , wherein the instructions, when executed by the at least one processor, cause the computing device to:
set the calculated amount of change to zero based on determining that an absolute value of the rate of change of the frequency is less than a threshold value.
10 . The system of claim 1 , wherein the mapping causes the one or more energy storage units to decrease output power from the reference output power when the rate of change of the frequency indicates an increase of the frequency, and wherein the mapping causes the one or more energy storage units to increase output power from the reference output power when the rate of change of the frequency indicates a decrease of the frequency.
11 . The system of claim 1 , wherein the adjusted output power corresponds to a combination of the reference output power and the calculated amount of change.
12 . The system of claim 1 , wherein the adjusted output power comprises active power to be dispatched by the one or more energy storage units.
13 . A method for operating one or more energy storage units, the method comprising:
obtaining, by a computing device, a rate of change of a frequency of alternating current of an electrical grid, wherein the one or more energy storage units are coupled to the electrical grid;
determining a mapping between the rate of change of the frequency and an amount of change of output power for the one or more energy storage units;
calculating, based on the mapping and the rate of change of the frequency, an amount of change of the output power for the one or more energy storage units;
determining, based on a reference output power for the one or more energy storage units and the calculated amount of change, an adjusted output power; and
configuring, based on the adjusted output power, the one or more energy storage units to output electricity to the electrical grid.
14 . The method of claim 13 , wherein the rate of change of the frequency is based on measurements obtained at one or more of:
a high voltage section of the electrical grid; or
a medium voltage section of the electrical grid.
15 . The method of claim 13 , wherein the mapping comprises a plurality of ratios, and wherein each ratio of the plurality of ratios is a constant value applicable to a particular range of a plurality of ranges of the rate of change of the frequency.
16 . The method of claim 13 , wherein the mapping comprises a piecewise linear function defining a relationship between the rate of change of the frequency and an amount of change of the output power for the one or more energy storage units, and wherein a graph of the piecewise linear function comprises a plurality of line segments having different values of slope.
17 . A non-transitory computer-readable medium for operating one or more energy storage units, the non-transitory computer-readable medium storing instructions that, when executed by at least one processor, cause the at least one processor to:
obtain a rate of change of a frequency of alternating current of an electrical grid, wherein the one or more energy storage units are coupled to the electrical grid;
determine a mapping between the rate of change of the frequency and an amount of change of output power for the one or more energy storage units;
calculate, based on the mapping and the rate of change of the frequency, an amount of change of the output power for the one or more energy storage units;
determine, based on a reference output power for the one or more energy storage units and the calculated amount of change, an adjusted output power; and
configure, based on the adjusted output power, the one or more energy storage units to output electricity to the electrical grid.
18 . The non-transitory computer-readable medium of claim 17 , wherein the rate of change of the frequency is based on measurements obtained at one or more of:
a high voltage section of the electrical grid; or
a medium voltage section of the electrical grid.
19 . The non-transitory computer-readable medium of claim 17 , wherein the mapping comprises a plurality of ratios, and wherein each ratio of the plurality of ratios is a constant value applicable to a particular range of a plurality of ranges of the rate of change of the frequency.
20 . The non-transitory computer-readable medium of claim 17 , wherein the mapping comprises a piecewise linear function defining a relationship between the rate of change of the frequency and an amount of change of the output power for the one or more energy storage units, and wherein a graph of the piecewise linear function comprises a plurality of line segments having different values of slope.