YWXY º º t rzyywxyhw]y Ÿk ƒ ƒ x Investgaton on Thermal Analyss Method of IPMSM for Ralway Vehcles ø ø ã ä ã äõ ã ä ã ä ú ã Chan-Bae Park *, Hyung-Woo Lee *, Jae-Hee Km *, Jun-Ho Lee *, Byung-Song Lee * Abstract In ths paper, research on thermal analyss method s conducted for the characterzaton of heat generaton durng operaton of Interor Permanent Magnet Synchronous Motor (IPMSM) for ralway vehcles. Effcent coolng of the heat generated n the IPMSM s mportant because the excessve heat generated from the wndng, core and permanent magnet makes t harder for a long tme contnuous operaton of IPMSM. Therefore, n order to analyze the heat generaton characterstcs of the IPMSM as advanced research for applcaton the IPMSM to the coolng devce, the heat transfer coeffcents for each component of the IPMSM were derved and the thermal equvalent crcut was confgured to perform the thermal analyss n ths study. Fnally, the valdaton of the suggested thermal analyss method was performed through the comparson wth the heat expermental data of IPMSM prototype. Keywords : Interor Permanent Magnet Synchronous Motor, Thermal analyss, Thermal equvalent crcut, Permanent magnet ï y t ƒ Ÿk q ¹ ƒ ª ª ª «ª ªªª«ª vƒ ƒzƒ ƒ x p ªªª«ª ƒ ƒ ƒ vƒ ªªª«ª ˆ l pd et ªªª«ª ƒvƒ º ekƒy ƒ ªªª«ª ƒ m ªªª«ª vƒ ƒ zƒ ªªª«ª ƒµ p d ºmp ƒ ƒ ƒ x p g ªªª«ª ˆ s ˆ p ƒ x ºƒ q ¹ ƒ ƒ d ºm ƒ ää ï z z³v ƒ ˆ º ¹ kº v l ½ Ÿk Ÿ ƒ m et º ºv ¹ kº Ò å Ó ãõ Ó Ñ ã Óúüãééêéëêæêëëêäëéäêëã ã Ó ãõ Ó Ñ ã Óúü
p ¹ kº m ˆ w r d z Ž r m º m «t p ƒ º v k ƒ p v«m ƒ Ž r ¹ kºp lv º Ž p ª Ÿk m ƒ q ˆ v º ƒ ƒ ƒ ƒ ƒ vƒ ƒ ˆ l pdr ˆnƒ et ƒ vƒr zƒvvƒ º ekƒ y ƒ Ÿk q ¹ ƒ ª ª ª «ª ªªª«ª x ƒ m ªªª«ª vƒ ƒzƒ ªªª«ª ƒµ p d ºmp ƒ ƒ ƒ x p g ªªª«ª ˆ s ˆ p ƒ x ºƒ äää ãõ Õù ääæçççç Õùã ¼½ ƒ wx x ª z³ x r ¹ {pdx x ¼½ d ºmx «m Žl r wx et v z³ ¼pd q ±Ž Ž k p m ƒ ƒ p ª m z³ x m x ª d wx z m ƒ pž e wx m l ««d q p ƒ m y ¹ Ÿ s ƒ eq ˆ l w m y t ƒ d ºmx ªªª«ª ƒ äääæï øæï íñ d ºmx ƒ d ºm o y ª zz ƒ d mº dx p x r ª ªªª«ª ƒ º ˆ ƒ ƒ l g {k d ƒ p «m ˆ «
R t cond = L. (1) ƒ º r ª q m o Oy UŠ P ƒ m ªªª«ª z l m l v ƒ m ƒ Ÿ q vƒ v zz r ˆOYP «ka L R = (2) t. conv h A conv ƒ o my ±¹ m m ƒ ¼pwˆ Ž umˆ ªªª«ª ƒ ƒ l ŽŽ r ªªª«ª l o Ž ª m y l m ªªª«ª l ˆ x p x p š º ˆ ƒ º ˆ ƒ d r ˆ «L R = (3) t. cont h A cont ƒ r k «p p m ƒ d ºmq k ªªª«ª l ˆ ƒ º ˆ ƒ ƒ d ƒ l m n k k «v ˆ «C = Mcρ (4) ƒ ª n k k v äää ƒ k ˆ ªªª«ª ep l dm d ºmq ƒ ª ˆz³mz ºm ƒ d ºmx ªªª«ª ƒv ƒzƒx ƒr d ºm y «mz d ºmq sd ˆ ˆd ˆ lˆ pd «dt 1 C = ( T T ) + j dt R j [ ] d T [ ] C Y T Q dt [ ][ ] [ ] Q (5) = + (6) ƒ «k l ««l ««l r«ª ˆ l
Fg. 1 Basc concept of thermal equvalent crcut analyss ääæçççç øð äääæçççç ôøæï ïã y t ƒ ªªª«ªs d ºmp ƒ ƒz ƒ r ˆs ˆ p ˆ d ºmx ºƒ p «ªªª«ª y r «ªªª«ª p Fg. 2 5kW-class IPMSM for E-Bke tracton Table 1 Man specfcaton of 5kW-class IPMSM for E-Bke tracton Contents Value Contents Value k [kw] 5 º [rpm] 1769 ª [Nm] 26.3 [mm] 270 º [mm] 165.7 [mm] 25 ƒ Nd [W] 56.9 [W] 270 ƒ o [W] 1
ªªª«ªs ƒ ƒ q ƒ Ž «ªªª«ª q ƒ o p p ƒ ˆ v kd m ¹ d ºmp ƒ r Table 2 The convecton heat transfer coeffcent and the conducton heat transfer coeffcentlattce n each medum of the IPMSM Contents Value [W/ m 2 e o ƒ l ƒ Fg. 3 The thermal equvalent crcut for thermal characterzaton of IPMSM äääæçççç ÑÑÐ y t ƒ ˆ d ºmx ªªª«ªs ƒ p «r ˆ ˆ µ ˆ p «ªªª«ª ƒµ d mº d ºmx ƒ Ž Ÿ z ƒy v ªªª«ª l ƒ ƒ ˆ Ž Ÿ vƒ r d zz ƒ Ž Ÿ vƒ m l zz ƒ d v o y r v my t ƒ ˆ d ºmx ªªª«ª ƒzƒx ºƒ ºy y ääñï Ÿk q ¹ ƒ vƒ ƒzƒ ƒ x p ªªª«ª ƒ m ªªª«ª vƒ ƒ
zƒ ªªª«ª ƒµ v d ºmp ƒ ƒ zƒ ƒ x p r ªªª«ª ˆ µ ˆ p Ž x ºƒ m ªªª«ª l ƒ ƒ ˆ Ÿ Ž ª vƒ p l zz ƒ d v o y r ˆ º ºy»y p ºy ƒ x Ÿk q ¹ ƒ º my (a) Calculaton results (b) Test results Fg. 4 Comparson between the thermal analyss results by the thermal equvalent crcut method and the thermal test results Ñö [1] C.B Park, H.W. Lee, B. S. Lee (2012) A study on the reducton of the stator ron loss on Permanent Magnet Synchronous Motor for lght ralway transt propulson system, Journal of the Korean Socety for Ralway, 15(4), pp. 376-380. [2] J.W. Lm, J.H. Seo, S.Y. Lee, H.K. Jung (2006) Thermal Network Analyss of Interor Permanent Magnet Machne, 2009 Sprng Conference of the Korean Socety for Ralway, pp. 527-532. [3] S.M. Jang, J.C. Seo, H.W. Cho, Y.H. Jeong (2004) Analyss of thermal dstrbuton for permanent magnet hgh speed motor, KIEE Summer Conference 2004, pp. 1073-1075. [4] J.H. Seo (2010) Thermal analyss and optmal desgn of Interor Permanent Magnet Motor for Vehcle Applcaton, PhD Thess, Seoul Unversty. [5] K. Yamazak, H. Ishgam (2010) Rotor-Shape Optmzaton of Interor Permanent-Magnet Motors to Reduce Harmonc Iron Losses, IEEE Trans. Ind. Elec., Vol.57, No.1, pp.61-69.