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Efficient and Robust Optimization for Building Energy Simulation.

Shokouh Pourarian1, Anthony Kearsley2, Jin Wen3

  • 1Shokouh Pourarian is a PhD student in the Department of Civil, Architectural and Environmental Engineering, Drexel University, Philadelphia, Pennsylvania.

Energy and Buildings
|June 22, 2016
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Summary

Solving complex building energy simulations requires efficient numerical methods. Replacing Powell's Hybrid method with a Levenberg-Marquardt variant in HVACSIM+ significantly improves computational efficiency, accuracy, and robustness.

Keywords:
Building energy systemsEfficiencyHVAC simulationLevenberg-Marquardt methodNumerical methodPowell’s Hybrid methodRobustness

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Area of Science:

  • Computational science
  • Building energy systems analysis
  • Numerical methods

Background:

  • Dynamic simulation of building energy systems involves computationally intensive solving of non-linear algebraic and differential equations.
  • The HVACSIM+ software package, a component-based building system simulation tool, currently uses Powell's Hybrid method for these calculations.
  • Powell's Hybrid method has demonstrated limitations in convergence, impacting the reliability of building energy simulations.

Purpose of the Study:

  • To compare the efficiency, robustness, and accuracy of two common numerical solution methods for building energy simulations.
  • To identify a more appropriate numerical solver for the specific challenges encountered in building energy system dynamics.
  • To evaluate the potential computational benefits of replacing the existing solver in HVACSIM+.

Main Methods:

  • Comparative analysis of numerical solution methods within the HVACSIM+ software package.
  • Implementation and testing of Powell's Hybrid method.
  • Implementation and testing of a variant of the Levenberg-Marquardt solver.
  • Evaluation of solver performance based on accuracy, robustness, and computational efficiency.

Main Results:

  • Powell's Hybrid method was found to be not always convergent, indicating potential issues in dynamic building energy simulations.
  • A variant of the Levenberg-Marquardt solver demonstrated superior accuracy and robustness compared to Powell's Hybrid method.
  • Significant computational benefits were observed when replacing Powell's Hybrid method with the Levenberg-Marquardt variant.

Conclusions:

  • The choice of numerical solver significantly impacts the efficiency and reliability of building energy simulations.
  • A variant of the Levenberg-Marquardt solver offers a more robust and accurate alternative to Powell's Hybrid method for HVACSIM+.
  • Adopting improved numerical methods can lead to substantial computational advantages in building energy system modeling.