10 times per year. This contract, therefore, provides at
maximum 50 kWh per year. It is possible, however, to design
two contracts that allow for the same maximum amount of
total energy per year, but in reality differ in how they can be
exercised by the system operator. In the preceding example,
the customer agrees to interruptions over no more than 50
hours per year with no single interruption lasting more than 5
hours. Alternatively, a contract may be designed to require a
maximum of 50 hours of interruptions without a limitation on
the length of each interruption. The latter contract provides
more value to the system operator and requires fewer unique
program participants. This difference arises from two
underlying challenges.
First, the system operator faces an inventory
problem—enough total energy needs to be contracted from
individual program participants to meet a designated portion
of overall system ancillary service needs. For example, if the
average energy need is 10 MWh with a standard deviation of
0.5 MWh, then a total of 11 MWh would need to be
contracted for delivery.
41
If each contract was worth 50 kWh
per year, then one potential solution would be to contract with
11 MWh/50 kWh = 220 participants (each agreeing to the 50
kWh contract described above).
41
That is, an amount equal to the mean (10 MWh) plus at least two
standard deviations (2 × 0.5 MWh).
There is, however, a second challenge—the system operator
is also faced with a “stacking” problem. While the total
contracted quantity might satisfy the identified total energy
need for ancillary services, if the contract limits each program
call to a limited number of contiguous hours (e.g., no more
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