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The paper introduces a comprehensive thermal model of PMG, calculating thermal resistances based on the dimensions of a chosen 500\u2010kW PMG as a case study. Using the MATLAB code, a mathematical model of the EAHE is created to study the effect of pipe diameter, length, and number on the outlet air temperature. The results indicate that there is a significant reduction in the component temperature of the PMG using EAHE. The use of EAHE improves the thermal characteristics of the PMG as well as increases the lifetime. The outlet air temperature from EAHE decreases as the length and number of pipes increase and the pipe diameter decreases. The maximum reduction in the temperature of the end winding of PMG is 24.45% due to EAHE when the PMG operates at full load. Also, the maximum reduction in the temperature of the end winding of PMG is 50.91% due to EAHE when the PMG operates at a variable load. The use of EAHE coupled with PMG resulted in an 8.06% reduction in the annual total cost.<\/jats:p>","DOI":"10.1155\/jece\/9987298","type":"journal-article","created":{"date-parts":[[2025,2,22]],"date-time":"2025-02-22T04:24:02Z","timestamp":1740198242000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Novel Cooling Technique to Improve the Thermal Characteristics of a Permanent Magnet Generator Using an Earth\u2013Air Heat Exchanger"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-8608-9076","authenticated-orcid":false,"given":"Amany R.","family":"Nasr","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3719-3398","authenticated-orcid":false,"given":"Ebrahim A.","family":"Badran","sequence":"additional","affiliation":[]},{"given":"Ibrahim I. 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