Rack Cooling Analysis Using Algebraic Pressure Equations

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Solution Overview

Problem

Conventional data center design tools fail to effectively model cooling performance inside racks, leading to increased flow resistance, recirculation of hot air, and inefficiencies in airflow and power consumption, especially when non-standard rack types and rear-door cooling coils are used, which are common in real-world data center configurations.

Innovation Solution

A computer-implemented method and system for modeling cooling performance within data center racks by receiving input data on physical structures, selecting appropriate equations to determine pressure values and airflow, and iteratively calculating airflow velocities and pressure differences to predict airflow values and temperatures, allowing for real-time estimation of airflow and temperature changes.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If conventional data center design tools are used, then design simplicity is maintained, but cooling performance modeling accuracy deteriorates

Engineering Contradiction:
Improvedesign tool complexityVSAvoidcooling performance modeling accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent segments the rack cooling system into discrete computational zones (front plenum, rear plenum, hot aisle, cold aisle) and models each zone's airflow and temperature independently using simplified equations. This segmentation allows accurate modeling of complex cooling performance while maintaining tool simplicity by breaking down the overall system into manageable segments.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent replaces complex mechanical CFD simulations with a system of algebraic equations that model airflow and heat transfer. By substituting the mechanical simulation approach with mathematical relationships based on conservation laws, the tool achieves accurate cooling performance prediction without requiring expensive CFD software or specialized expertise.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Temperature

If non-standard rack types and rear-door cooling coils are used, then cooling effectiveness is improved, but flow resistance increases

Engineering Contradiction:
Improvecooling effectivenessVSAvoidflow resistance
Core Design Contradiction:
TemperatureVSStress or pressure

Solution Approach 1:

The patent applies local quality by allowing different rack configurations (standard vs. non-standard, presence of rear-door cooling coils) to have location-specific resistance values and thermal characteristics. Each zone in the model can have customized properties that reflect the actual physical configuration, enabling accurate prediction of both cooling effectiveness and flow resistance for diverse rack types.

Inventive Principle:
Principle #3Local quality

3Measurement precision

If detailed airflow modeling is performed, then cooling performance accuracy is improved, but computational complexity increases

Engineering Contradiction:
Improvecooling performance accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent changes the mathematical parameters from differential equations requiring numerical integration to algebraic equations with direct solutions. By formulating the airflow and heat transfer models as systems of linear equations based on conservation principles, the patent achieves detailed airflow modeling accuracy while maintaining computational simplicity and enabling real-time analysis.

Inventive Principle:
Principle #35Parameter changes

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables accurate real-time prediction of airflow and temperature within data center racks, facilitating improved data center design and management by optimizing cooling performance and reducing energy consumption, without requiring expensive CFD software or specialized expertise.

Implementation Method 1

selecting, based on the data related to physical structures, at least one first equation of a plurality of predetermined equations that describe pressure values in a plurality of spaces within the at least one equipment rack, determining pressure values in identified spaces of the plurality of spaces by solving the at least one first equation

Methodology Applied
Scientific EffectPressure gradient: Pressure Gradient

Implementation Method 2

determining airflow values between identified spaces by calculating a difference between the pressure values

Methodology Applied
Scientific EffectPressure-driven flow: Pressure Gradient

Data Source

PatentUS8825451B2System and methods for rack cooling analysis
Publication Date: 2014.09.02 SCHNEIDER ELECTRIC IT CORP
  • US8825451B2 patent drawing
  • US8825451B2 patent drawing
  • US8825451B2 patent drawing

AI summary

According to at least one embodiment, a computer-implemented method for modeling cooling performance is provided. The method includes acts of receiving, by a computer, input data from a storage device, the input data including data related to physical structures within at least one equipment rack, selecting, based on the data related to physical structures, at least one first equation of a plurality of predetermined equations that describe pressure values in a plurality of spaces within the at least one equipment rack, determining pressure values in identified spaces of the plurality of spaces by solving the at least one first equation using the input data, determining airflow values between identified spaces by calculating a difference between the pressure values and storing, on the storage device, the airflow values as equipment rack airflow values within the at least one equipment rack.