Solar PV Modeling with Lambert W Function: An Exponential Cone Programming Approach

Hieu Nguyen, Duong Nguyen, Anh Phuong Ngo, Christan Thomas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a convex programming formulation to accurately compute the Lambert W-function. This function is widely used in modeling solar PVs, i.e., explicitly modeling the current voltage curve for solar PV performance. Unfortunately, the Lambert W function cannot be expressed by elementary functions and its computation also follows a complex procedure. To address these issues, we propose to leverage the exponential cone model to equivalently cast the computation of Lambert W function as solving a convex optimization problem whose constraints are representable with elementary functions. In other words, the Lambert W function can be exactly computed by means of convex programming without needing its close-form. We validate our results by comparing the accuracy of our proposed method for computing Lambert W function and its applications on modeling current-voltage curves of solar PV and Maximum Power Point Tracking System.

Original languageEnglish (US)
Title of host publication2022 IEEE Kansas Power and Energy Conference, KPEC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665465915
DOIs
StatePublished - 2022
Externally publishedYes
Event3rd IEEE Kansas Power and Energy Conference, KPEC 2022 - Manhattan, United States
Duration: Apr 25 2022Apr 26 2022

Publication series

Name2022 IEEE Kansas Power and Energy Conference, KPEC 2022

Conference

Conference3rd IEEE Kansas Power and Energy Conference, KPEC 2022
Country/TerritoryUnited States
CityManhattan
Period4/25/224/26/22

Keywords

  • convex optimization
  • exponential cone
  • Lambert W function
  • solar PV modeling

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Artificial Intelligence
  • Energy Engineering and Power Technology
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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