> For the complete documentation index, see [llms.txt](https://philipp-sommerhalter.gitbook.io/eesr/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://philipp-sommerhalter.gitbook.io/eesr/library/metrics/apcr.md).

# APCr

Data centers can achieve higher sustainability by adjusting their operations to the tune of clean energy production (e.g. load shifting). DC4Cities proposed in 2014 a metric which captures how much the energy consumption profile of a data center matches the availability of renewable and green energy: Adaptability Power Curve at Renewable Energies.

<details>

<summary>Details</summary>

Unit: **NA**

Minimum: **1.0**

Maximum: -**∞**

Ideal: **1.0**

</details>

## Formula

$$
APC\_{ren} = 1 - \frac{\sum\_{i=1}^{n} |K E\_{Ren i} - E\_{DC i}|} {\sum\_{i=1}^{n} E\_{Ren i}}
$$

$$
K = \frac{\sum\_{i=1}^{n} E\_{DC i}} {\sum\_{i=1}^{n} E\_{Ren i}}
$$

Where

* *Ereni* is the renewable energy production on the grid (or onsite) in kWh,
* *EDCi* is the total energy consumption of the data center in kWh,
* *K* serves as an adjustment factor to meaningfully compute $E\_{ren i}$ against $E\_{DC i}$,
* *i* is the time period, and
* *n* is the sample size

As the amount of renewable electricity on the grid is far higher than what a data center consumes, K is needed to equalize their magnitudes.

## Evaluation

Has not been used in the industry.

## Improvement Strategies

Load shifting.

## Sources

\[1] [Cluster Activities Task 3](https://www.smartcitiescluster.eu/publications/FP7ProjectCluster-NewEnergyEfficiencyMetricsforDataCentres-task3.pdf)

\[2] [Metrics for Assessing Flexibility and Sustainability of Next Generation Data Centers](https://ieeexplore.ieee.org/document/7414182) [\[pdf\]](https://www.researchgate.net/profile/Alexis-Aravanis/publication/286923163_Metrics_for_Assessing_Flexibility_and_Sustainability_of_Next_Generation_Data_Centers/links/566fe20a08ae4d9a42593fc5/Metrics-for-Assessing-Flexibility-and-Sustainability-of-Next-Generation-Data-Centers.pdf)