Innovations
Vol. 12 (2024), Issue 2, pg(s) 83-85

INNOVATIVE SOLUTIONS

Evaluating the Compressor performance using two dimensional Lagrange polynomial interpolation and Cubic approximation

  • 1 Department of Mathematical Engineering, Faculty of Mathematics and Physics Engineering, Polytechnic University of Tirana
  • 2 Department of Automation, Faculty of Electrical Engineering, Polytechnic University of Tirana, Albania

Abstract

This paper talks about how we can use math to create better models based on actual compressor experiments. The goal? To bridge the gap between what we see happening in real life and what we can predict, ultimately helping us optimize HVAC systems for better performance.
Within these systems, parts like compressors, fans, and electrical components play crucial roles. Compressors, especially, are quite dynamic, especially in heat pump setups.
However, the problem is that manufacturers usually only give real-world data on how compressors perform, without detailed models for understanding how they work in different situations. Hopefully in this paper we will try to construct a detailed model in order to be able to evaluate a HVAC system without the necessity of real-world data. Also, we will evaluate two different mathematical models, two dimensional interpolation and approximation in order to see who perform better.

Keywords

References

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