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Data Center Modeling 101 Moises Levy, PhD [email protected] www.dcmetrix.com

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  • Data Center Modeling 101

    Moises Levy, [email protected]

    www.dcmetrix.com

  • Do we really understand how a data center behaves?

    Workloads ?

    Physical environment ?

    IT Equipment specs ?

    Quality of Service ?

    Power and Airflow requirements ?

    Key Performance Indicators ?

    Data Center Modeling 101

    Moises Levy, PhD

  • Ernest Orlando Lawrence Berkeley National LaboratoryU.S. Data Center Energy Usage Report, June 2016

    o Energy intensive

    o ITE > 1 kW/m2

    o U.S. ~ 3 M data centers

    o ~2% electricity consumption

    o 2020: ~73 billion kWh

    o Downtime $$$

    It is important to model data centers

    Data Center Modeling 101

    Moises Levy, PhD

  • Cyber physical system:

    Integration of computational and physical components

    Data centers modeled as CPS

    Workload

    Energy

    Physical environment

    At a data center:

    High coupling between ITE and their physical environment

    Data Center Modeling 101

    Moises Levy, PhD

  • Data center model

    Simple

    Correct

    Useful

    QoS, Power, Airflow, Energy, KPIs

    ITE and cooling specs

    Workloads

    Data Center Modeling 101

    Moises Levy, PhD

  • Steps for modeling data centers as CPS

    1. Modelingcyber components

    2. Modelingphysical components

    3. Key indicators

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Cyber components

    1

    2

    Data Center Modeling 101

    Moises Levy, PhD

  • ITE specs : , ,

    Modeling cyber components

    Win , = Win,DC * S ,Data Center Modeling 101

    Moises Levy, PhD

  • o ITE resource utilization: U , = Wout ,PRo Queue length:

    L , = Win , + L , 1 - Wout ,o Waiting time: tw = L ,PR o Total processing time …

    Parameters to predict QoS

    Modeling cyber components

    Quality of service

    Processing in real time System overloaded

    Wout , = Win ,No queue

    Wout , = PRData Center Modeling 101

    Moises Levy, PhD

  • , = ∗ , + , = , ∗

    ITE specs: , ,

    Modeling cyber components

    Power

    ITE Power requirement

    ITE Energy consumption

    Data Center Modeling 101

    Moises Levy, PhD

  • Modeling cyber components

    Power

    The power required by ITE depends on the workload and QoS

    No workload

    Power (idle)

    Workload QoSPower

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Physical components

    1

    2

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    = Cp * ρ * Airflow * ∆T

    Cp: Specific heat of airρ: Density of air

    AirflowCFM = 3.2 * ∆ °

    Modeling physical components

    Airflow

    Cyber and thermal components are coupled throughthe energy consumption of the ITE

    The convective heat transfer at the ITE:

    Airflow requirement (ITE):

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    The affinity laws for fans:- The airflow is proportional to fan speed- The power is proportional to the cube of the fan speed- The power requirement is proportional to the cube of the airflow

    =

    Modeling physical components

    Airflow

    Examples:1.- A data center with 1 CRAH unit.

    If the airflow required by the ITE is reduced by half, the power required will be reduced by a factor of 8.

    2.- If the airflow required by the ITE can be supplied by 4 CRAH units instead of 1 unit at full capacity.With 4 units operating at a fourth of the maximum speed, the power is 16 times lower.

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk MetricModeling physical components

    Power

    = ∑ + ∑ + ∑

    Sensible Coefficient of Performance:

    = net sensible cooling capacitypower required to produce cooling ( )

    = ∑Power requirement (cooling system)

    values for commercial precision cooling systems without economizers usually range from 1.8 to 3.8

    Data Center Modeling 101

    Moises Levy, PhD

  • 0

    20

    40

    60

    80

    100

    120

    140

    160

    180

    Airf

    low

    (CFM

    )

    % utilization

    Series1 Series2

    A Framework for Data Center Site Risk Metric

    Rack server example

    Power Airflow

    Is this model accurate?

    The model is accurate within a 20% margin of error, andwith greater precision (< 7% margin of error) if utilization > 50%.

    Data Center Modeling 101

    Moises Levy, PhD

  • Data center key indicators

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Efficiency key indicators such as PUE

    = ∑= ∑ + ∑∑

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Simulations to predict behavior

    Types of workload

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Simulations to predict behavior

    2 nodes (ITE)WL distribution: 30%, 70%WL input peak: 250 jobsRun time: 1 hour

    = 50, 80 j/s= 200= 50

    .

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Simulations to predict behavior. . 532 s 821 s

    400 W 35.6 cfm 273W-h

    Data Center Modeling 101

    Moises Levy, PhD

  • A Framework for Data Center Site Risk Metric

    Simulations to predict behavior

    Equal node distribution and Normal workload input

    Workload vs. # nodes vs. Run time Workload vs. # nodes vs. Energy Workload vs. # nodes vs. Max wait time

    Data Center Modeling 101

    Moises Levy, PhD

  • o Calibrate

    o Validate

    Real-time data

    Data Center Modeling 101

    Moises Levy, PhD

  • o Simple formulation to predict parameters (under certain assumptions)

    QoS, power, airflow, energy, KPIs

    o Modeling helps understand data center performance

    o Basis to develop simulations to assess data centers

    o Assist in finding areas of improvement, providing a basis for decision-making

    o Foundation to understand end-to-end resource management

    Data Center Modeling is useful

    Data Center Modeling 101

    Moises Levy, PhD

  • Q & A

    Moises Levy, [email protected]

    www.dcmetrix.com

    Data Center Modeling 101