Indian Journal of Science and Technology, Vol 9(14), DOI: 10.17485/ijst/2016/v9i14/91101, April 2016 ISSN (Print) : 0974-6846 ISSN (Online) : 0974-5645 Reliability Analysis of Permanent Magnet and Air-gap Flux Density of Spoke-type IPMSM for Driving Cooling Fans Yun-Soo Kim1, Jun-Young Kim2, Dong-Woo Kang3* and Ju Lee1 Department of Electrical Engineering, Hanyang University, Seoul 133-791, Korea Automotive Components R&D Department, Daedong Movel System Inc., Gyeonggi 429-851, Korea 3 Department of Electrical Energy Engineering, Keimyung University, Daegu 704-701, Korea; Sanghyuk.Lee@xjtlu.edu.cn 1 2 Abstract One of the key electrical components in a car, a motor has been actively studied based on its reliability. In recent years, as the proportion of the motor has increased in a car, development of the motor with a high output and a low price has been required. IPMSM can cause a high torque per unit current by using a reluctance torque generated from the difference in the magnetic resistance, which is suitable for the motor which requires a high output. In particular, since the spoketype IPMSM with a concentrated flux structure can utilize non-rare earth metal-based ferrite magnets which are cheaper than rare earth metal-based permanent magnets such as neodymium, this can lower the motor price. In this paper, we study driving characteristics by analyzing the magnetic flux density and cogging torque that causes noise and vibration in accordance with the rotor shapes (Magnet, Rib) of the spoke-type IPMSM. Keywords: Engine Cooling Fan, Fan Motor, Ferrite Magnet, Interior Permanent Magnet System Synchronous Motor (IPMSM), Spoke Type, Vehicle Motor 1. Introduction These days, rare-earth resources have been used frequently in electrical and electronic equipments1. Rare earth metal-based permanent magnets are used to improve efficiency at low speed. Until recently, there have been some issues surrounding the raw materials used in the rare earth-based magnets, such as increased price and limited export of rare earth based-magnets. Since rare earth metal-based magnets are still expensive and the prices are unstable, they may not be desirable for motors. Therefore, it is important to develop IPMSM, which does not use rare metal-based magnets2. Among other IPMSMs, the spoke-type IPMSM with a high reluctance torque and concentrated flux structure especially has a high torque per unit volume The spoke-type IPMSM has been studied for applications where a high torque is required. However, *Author for correspondence the spoke-type IPMSM has some problems. First, it causes local demagnetization at the edge of the permanent magnet by an external magnetic field. Secondly, because of the distortion of the air-gap magnetic flux density distortion, cogging torque increases, thereby decreasing motor performance, changing operation regions and generation noise and vibration3,4. Structurally, the spoke-type IPMSM may have Rib structure in the outermost of a rotor. This Rib structure of the rotor affects the operation range, properties and safety factor of the motor. In addition, it is related to demagnetization phenomenon that affects the motor characteristics5. This paper investigated the impact of airgap magnetic density on cogging torque in accordance with the rotor shapes (magnet, rib) of the spoke-type IPMSM and interpreted demagnetization of ferrite magnets. Figure 2. Air-gap flux density corresponding to the thickness of the permanent magnet. In case of the rib, the spoke-type IPMSM may have a rib structure in the outermost of the rotor. The rib stru affects the operation range, properties and safety factor of the motor. In addition, it is related to demagneti Reliability Analysis of Permanent Magnet and Air-gap Fluxthat Density IPMSM5.for Driving Cooling phenomenon affectsof theSpoke-type motor characteristics Figure 3 shows a basic Fans model and Table 1 shows the specifica Figure 4 shows the shape variables for the width and rib of the permanent magnet. 2. Air-gap Magnetic Flux Density in accordance with Rotor Shapes In this chapter, we set up a rib and a permanent ­magnetics as variables to analyze the characteristics of motors in accordance with rotor shapes of the spoke-type IPMSM. Figures 1 and 2 show the effect of changes in the width and thickness of the permanent magnet has on the airgap flux. By the way the result of analysis by arbitrarily specifies the size of the magnet. Since the width of the Figure 3. Spoke-type IPMSM model. Figure 3. Spoke-type IPMSM model. permanent magnet has more effects on the motor output Table 1. Specification and is more advantageous for increasing magnetic flux of analysis model Table 1. Specification of analysisValue model Items per unit volume than the thickness, we only designated Output 250 [W] Value Items the width as a variable. DC link voltage 13.5 [V]250 [W] Output In case of the rib, the spoke-type IPMSM may have a Rated speed 2000 [RPM] DC link voltage 13.5 [V] rib structure in the outermost of the rotor. The rib strucRated Torque 1.2 [Nm] ture affects the operation range, properties and safety Rated speed 2000 [RPM] Number of poles 6 [poles] factor of the motor. In addition, it is related to demagnetiRated Torque 1.2 [Nm] Number of phases 3 [phase] zation phenomenon that affects the motor characteristics5. NumberStack of length poles 25 [mm]6 [poles] Figure 3 shows a basic model and Table 1 shows the specimagnets relative to the surfaceNumber of the rotor are constant6. Therefore, of phases 3selected [phase]an appropriate length for air Air-gap length 0.5 we [mm] consideration of the loading ratio and set up the output required for loading vehicle engine cooling fan and the ma fications. Figure 4 shows the shape variables for the width Stack length 25 [mm] value of output phase voltage in accordance with an inverter PWM modulation system. In addition, we minimi and rib of the permanent magnet. stack length to reduce the inertia for driving the fan and designed in accordance with rated speed. 2.1 Model Properties Air-gap length 2.1 Model Properties [mm] The analytical model was designed by applying numerical analysis method such as a finite element method t Variables of spoke-type Rotor Shapes design2.2directly. In the IPMSM, the permanent magnets are inserted at both ends of one pole of the roto present symmetrically and the magnetic pole consists of core surface of the rotor between the permanent ma Therefore, this structure can increase air-gap magnetic flux density by increasing the cross-sectional area of the perm The analytical model was designed by applying numerical analysis method such as a finite element method to the Figure 4. Shape variables of a permanent magnet and Rib.of a permanent magnet and Rib. Figure 4. Shape variables Table 2. Design Parameters Table 2. Design Parameters Variable Variable Figure 1. Air-gap flux density in accordance with the width of the permanent magnet. Range Range Step Step Unit Unit mm mm Figure 1. Air-gap flux density in accordance with the Width 14.5~ ~ 15.0 0.1 0.1 MagneticMagnetic Width 14.5 15.0 Rib Thickness 0.82 ~ 1.52 0.1 width of the permanent magnet. 0.82 ~ 1.52 Figure 1. Air-gap flux density in accordance withRib theThickness width of the permanent magnet. 0.1 mm mm As shown in Figure 4, we attempted to analyze the impact on the air-gap flux density through changes in the w permanent magnets, a design variable of the magnetic circuit of the spoke-type IPMSM and rib through which. design directly. In the spoke-type IPMSM, the permanent flux density corresponding to the thickness of the 3. Cogging Characteristics in Accordance with the of Air-gap Flux Density magnetsTorque are inserted at both ends of one pole the rotor In this section, we investigated the characteristics of cogging torque in accordance with distribution and present symmetrically and the magnetic pole con- of air-gap m flux density. For this purpose, we analyzed dimensional changes in permanent magnetic which are the design varia sists surface of the rotorofbetween the permanent magnetic circuit from the dataofofcore the same rotors and the effects the rib structure on the air-gap magnetic flux after analyzing the characteristics essential to the design ofstructure the spoke-type IPMSM. Afterwards, we investigate the magnets. Therefore, this can increase air-gap permanentcharacteristics magnet. of the spoke-type IPMSM using the finite element method. magnetic flux density by increasing the cross-sectional 3.1 Characteristicsarea of theof Magnetic Circuit of themagnets Spoke-typerelative IPMSM to the surface of the permanent rib, the spoke-type IPMSM mayflux have a rib corresponding structure in thetooutermost of the rotor. The ribmagnet. structure Figure 2. Air-gap density thereason thickness of the permanent The for analyzing the characteristics of the 6 magnetic circuit of the IPMSM with a permanent magne the rotor constant . Therefore, appro-magnets than a c on range, properties safety factor of the motor. In know addition, to are demagnetization Figure and 2. Air-gap flux density corresponding to size theitof is the the related air-gap magnetic flux. The spoke-type IPMSMwe has selected used more an permanent 5 bar-typeand IPMSM. However, a large magnetic flux can be in created in the air-gap despite using less permanent magne affects the motor characteristics . Figure 3 shows a basic model Table 1 shows the specifications. priate length for air-gap consideration of the loading thickness of the permanent magnet. In case of the rib, the spoke-type IPMSM may have a rib structure in the outermost of the rotor. The rib structure performance of the permanent magnet and reducing the cross-sectional area of the air-gap can lead to a large magne shape variables for the width and rib of the permanent magnet. affects the operation range, properties and insafety factor ofTherefore, the motor. In addition, it is related to demagnetization the air-gap as well. an analysis of the characteristics of the magnetic circuit is necessary. 2 phenomenon that affects the motor characteristics 5. Figure 3 shows a basic model and Table 1 shows the specifications. Figure shows the shape variables for the width and rib of the permanent magnet. Vol 9 (14)4| April 2016 | www.indjst.org Indian Journal of Science and Technology 3.1 Characteristics of the Magnetic Circuit of the Spoke-type IPMSM The reason for analyzing the characteristics of the magnetic circuit of the IPMSM with a permanent magnetic is know the size of the air-gap magnetic flux. The spoke-type IPMSM has used more permanent magnets than a comm bar-type IPMSM. However, a large magnetic flux can be created in the air-gap despite using less permanent magnet by t performance of the permanent magnet Kim, and reducing the cross-sectional area of the air-gap canJu lead to a large magnetic fl Yun-Soo Jun-Young Kim, Dong-Woo Kang and Lee in the air-gap as well. Therefore, an analysis of the characteristics of the magnetic circuit is necessary. ratio and set up the output required for ­loading vehicle engine cooling fan and the maximum value of output phase voltage in accordance with an inverter PWM modulation system. In addition, we minimized the stack length to reduce the inertia for driving the fan and designed in accordance with rated speed. 2.2 Variables of Rotor Shapes As shown in Figure 4, we attempted to analyze the impact Figure 5. The magnetic circuit including a permanent magnet. on the air-gap flux density through changes in the width Figure 5. The magnetic circuit including a permanent of permanent magnets, a design variable of the magmagnet netic circuit of the spoke-type IPMSM and rib through which. Assuming that the magnetic permeability of the core is very large, Hc1, Hc2, Hc3 are relatively small enough to be negligible and thereby a simple equation (2) can be obtained. 3. Cogging Torque Characteristics in Accordance with the Air-gap Flux Density In this section, we investigated the characteristics of ­cogging torque in accordance with distribution of airgap magnetic flux density. For this purpose, we analyzed dimensional changes in permanent magnetic which are the design variables of magnetic circuit from the data of the same rotors and the effects of the rib structure on the air-gap magnetic flux density after analyzing the characteristics essential to the design of the spoke-type IPMSM. Afterwards, we investigate the driving characteristics of the spoke-type IPMSM using the finite element method. 3.1 Characteristics of the Magnetic Circuit of the Spoke-type IPMSM The reason for analyzing the characteristics of the magnetic circuit of the IPMSM with a permanent magnetic is to know the size of the air-gap magnetic flux. The spoke-type IPMSM has used more permanent magnets than a common bar-type IPMSM. However, a large magnetic flux can be created in the air-gap despite using less permanent magnet by the performance of the permanent magnet and reducing the cross-sectional area of the air-gap can lead to a large magnetic flux in the air-gap as well. Therefore, an analysis of the characteristics of the magnetic circuit is necessary. Provided that the magnetic flux flows in the magnetic circuit including the permanent magnetic in Figure 5. an equation (1) can be obtained from applying Ampere’s law. ∫ H × dl = H mlm + H c1lcl + H c 2 lc 2 + H c 3lc 3 + 2 H g l g = 0 [ A] Vol 9 (14) | April 2016 | www.indjst.org (1) H mlm ≈ −2 H g l g [ A] (2) Moreover, since the total magnetic flux of the air-gap and total magnetic flux of the permanent magnet are the same if the leakage is ignored, the relationship between the magnetic flux density Bg of the air-gap and the magnetic flux Bm inside the permanent magnet is shown in the equation (3). Bg = Sm Sg Bm [T ] Sm Bm = S g B g (3) (4) Here, Bm, Bg represents the magnetic flux density of the permanent magnet and air-gap, respectively and Sm, Sg represents the cross-sectional area of the permanent magnet and air-gap, respectively. The equation (5) can be obtained by substituting the equation (3) to the equation (2) and the smaller the air gap is, the closer value to the residual magnetic flux density of the permanent magnet Bm becomes. In addition, the intensity of the magnetic field may be referred to as a critical value since it is directly related to the cross-sectional area and air-gap length of the permanent magnet. H m ≈ −2 Bm Sm l g µ 0 S g lm [A / m] (5) 3.2 Characteristics in accordance with the Width of the Permanent Magnet As shown in the equation (3), increasing the air-gap magnetic flux as a result of increasing the cross-sectional area of the permanent magnet is shown in Figure 6. Indian Journal of Science and Technology 3 As shown in the equation (3), increasing the air-gap magnetic flux as a result of increasing the cross-sectional the permanent magnet is shown in Figure 6. Accordingly, the phenomenon that the cogging torque was in appeared and it is necessary to investigate the relationship between the impact on efficiency and torque by an torque ripple through the load analysis. Reliability Analysis of Permanent Magnet and Air-gap Flux Density of Spoke-type IPMSM for Driving Cooling Fans 3.3 Characteristics in accordance with the Rib Thickness Accordingly, the phenomenon that the cogging torque was increased appeared and it is necessary to investigate the relationship between the impact on efficiency and torque by analyzing torque ripple through the load analysis. 3.3 Characteristics in accordance with the Rib Thickness H dl H l H l H l Provided Provided that that the the magnetic magnetic flux flux flows flows in in the the magnetic magnetic circuit circuit including including the the permanent permanent magnetic magnetic in in Figure Figure 5. 5. an an ation ation (1) (1) can can be be obtained obtained from from applying applying Ampere’s Ampere’s law. law. H dl Hmmlmm Hcc11lclcl Hcc22lcc22 H Hcc33llcc33 22H Hggllgg 00 [[A A]] (1) (1) Figure 7 showsof the characteristics of the air-gap flux Assuming are relatively small enough to be (a) c ,, H c ,, H c are relatively small enough to be Assuming that that the the magnetic magnetic permeability permeability of the the core core is is very very large, large, H H H H (a) c c c densityequation and the cogging torque in accordance with the rip igible igible and and thereby thereby aa simple simple equation (2) (2) can can be be obtained. obtained. within the rotor. As the thickness of the rib gotHthinner, the ] 22H (2) Hmmllmm Hggllgg [[A A] (2) level of the air-gap magnetic flux was increased, thereby Moreover, since the total magnetic flux of the air-gap and total magnetic flux of the permanent magnet are the same Moreover, since theincreasing total magneticthe fluxcogging of the air-gap and total flux of thetorque permanent are the same if if torque as magnetic well. Cogging is magnet leakage of the air-gap and the magnetic flux m leakage is is ignored, ignored, the the relationship relationship between between the the magnetic magnetic flux flux density density B Bm Bgg of the air-gap and the magnetic flux B generated due toequation the original slot and is proportional to de (3). de the the permanent permanent magnet magnet is is shown shown in in the the equation (3). the square of the rotor. Therefore, the characteristicsSSof m B (3) Bgg Sm B Bm [[T T]] (3) the cogging torque are changed by the air-gap magnetic Sgg m flux rather than the difference in the magnetic resistance. SSm B SSg B (4) m g (4) m Bm g Bg Moreover, as shown in Figure 7(a), the distorted portion Here, represents the magnetic flux density of the permanent magnet and air-gap, respectively and B , B S , S Here, Bmm , Bgg represents flux densityinof the the permanent magnet and air-gap, (b) withthe themagnetic pitted center waveform of the air-gaprespectively and Smm , Sgg (b) esents the cross-sectional area of the permanent magnet and air-gap, respectively. esents the cross-sectional area of the permanent magnet and air-gap, respectively. magnetic flux can be seen as a unique feature. This can Figure 7. Result analysis of the characteristics rotor rip The (2) and smaller the air gap Figure 7. the Resultin accordance analysis with of thethe characteristics in The equation equation (5) (5) can can be be obtained obtained by by substituting substituting the the equation equation (3) (3) to to the the equation equation and the the smaller flux the air gap is, is, the (a)(2) Air-gap magnetic density (b)the Cogging torque. also be seen as a figurative feature because the magnetic er value to the residual magnetic flux density of the permanent magnet becomes. In addition, the intensity of B er value to the residual magnetic flux density of the permanent magnet Bmm becomes. In addition, theaccordance intensity of thewith the rotor rip (a) Air-gap magnetic flux netic to value itit is related the area and air-gap flux from permanent directly into7the netic field field may may be be referred referred to as as athe a critical critical value since since magnet is directly directly related to toenters the cross-sectional cross-sectional areathe and air-gap length length Figure shows characteristics of the air-gap flux density and the cogging torque in accordance with the rip density (b) Cogging torque. he he permanent permanent magnet. magnet. the rotor. As the thickness of the rib got thinner, the level of the air-gap magnetic flux was increased, thereby inc air-gap in the case of the spoke-type IPMSM. Due to this the cogging B torque S lg as well. Cogging torque is generated due to the original slot and is proportional to the square feature, the waveform of the air-gap flux density is difficult 22 Bmm Smm lgthe[[ A /m (5) H rotor. characteristics of the cogging torque are changed by the air-gap magnetic flux rather t (5) Hmm Therefore, m]] Result Sg lm A/3.4 of the Parametric in with the pitted cente 0 the difference in resistance. Moreover, as shown in Figure 7(a),Analysis the distorted portion m 0 Sg lmagnetic to control directly by the shape or the magnetization waveform of the air-gap magnetic flux can be seen as a unique feature. This can also be seen as a figurative accordance with Shapes direction of the permanent magnet. 3.2 3.2 Characteristics Characteristics in in accordance accordance with with the the Width Width of of the the Permanent Permanent Magnet Magnet because the magnetic flux from the permanent magnet directly enters into the air-gap in the case of the spoke-type I 1 1 2 2 3 3 Due to this feature, the waveform of the air-gap flux density is difficult to control directly by the shape magnetization direction of the permanent magnet. 3.4 Result of the Parametric Analysis in accordance with Shapes (a) (a) (a) (b) (b) (b) (a) (a) (a) (b) (b) (b) Figure 8. Torque and efficiency of the rotor in accordance with shapes Figure 8. Torque and efficiency of the rotor in accordance with shapes Figure 6. Result analysis of the characteristics in permanent Figure 8. (b)Torque and efficiency of the rotor in accordance (a) Width of the magnet Rib thickness. (a) Width of the permanent magnet (b) Rib thickness. accordance with the width of the permanent magnet (a) Airwith shapes (a) Width of the permanent magnet (b) Rib 3.5 Demagnetization Interpretation gap magnetic flux density (b) Cogging torque. thickness. 3.5 Demagnetization Interpretation 4 Vol 9 (14) | April 2016 | www.indjst.org The characteristics of the permanent magnet vary according to temperature, magnetic circuit and external m The characteristics of the permanent magnet vary according to temperature, magnetic circuit and external m field. In the case of a non-rare earth metal-based ferrite magnet, a large reverse field at low temperature can field. In the case of a non-rare earth metal-based ferrite magnet, a large reverse field at low temperature can irreversible demagnetization. If the reverse field below the knee point takes place in the B-H curve of the per irreversible demagnetization. If the reverse field below the knee point takes place in the B-H curve of the per magnet, irreversible demagnetization occurs55. In addition, the properties are changed by heat and the low Indianthe Journal of Science Technology magnet, irreversible demagnetization occurs . In addition, properties are and changed by heat and the low temperature, the coercive force is. The material of the permanent magnet used in this paper is 7BE and the B-H c temperature, the coercive force is. The material of the permanent magnet used in this paper is 7BE and the B-H c shown in Figure 8. As described above, demagnetization of the ferrite magnet can take place if the temperature be shown in Figure 8. As described above, demagnetization of the ferrite magnet can take place if the temperature b low. This can be referred to demagnetization at low temperature and the operation point become below the kne low. This can be referred to demagnetization at low temperature and the operation point become below the kne due to changes in the residual magnetic flux and the coercive force according to the temperature. Yun-Soo Kim, Jun-Young Kim, Dong-Woo Kang and Ju Lee 3.5 Demagnetization Interpretation The characteristics of the permanent magnet vary according to temperature, magnetic circuit and external magnetic field. In the case of a non-rare earth metal-based ferrite magnet, a large reverse field at low temperature can lead to irreversible demagnetization. If the reverse field below the knee point takes place in the B-H curve of the permanent magnet, irreversible demagnetization occurs5. In addition, the Figure 8. Demagnetization ratio per area in accordance with the width of the permanent m Figure 8. Demagnetization ratio per area in accordance properties are changed by heat and the lower the temperature, ratio magnet. per area in accordance with the width of the permanent m with the Figure width8.ofDemagnetization the permanent the coercive force is. The material of the permanent magnet used in this paper is 7BE and the B-H curve is shown in Figure 8. As described above, demagnetization of the ferrite magnet can take place if the temperature becomes low. This can be referred to demagnetization at low temperature and the operation point become below the knee point due to changes in the residual magnetic flux and the coercive force according to the temperature. By looking at the demagnetization ratio per unit area Figure 9. Demagnetization ratio per area in accordance with the rip thickness. (a) according to the width of the permanent magnet as shown Figure 9. Demagnetization ratio per area in accordance with the rip thickness. in Figure 8, it can be seen that the larger the width of the looking at the demagnetization per in unitaccordance area according to the width of the Figure 9. By Demagnetization ratio perratio area Figure 8, it can be seen that the larger the width of the permanent magnet, the more d with the reason rip thickness. permanent magnet, the more demagnetization is generfor this atphenomenon is that the permanent is closetotothethe air-gap d By looking the demagnetization ratio per unit magnet area according width of the Furthermore, thebedemagnetization ratio the is increased to the reverse magnetic field db ated. The reason for this phenomenon is that the permanent Figure 8, it can seen that the larger width of due the permanent magnet, the more stator. 9 shown the demagnetization ratio in accordance with the rip thickness andd reason Figure for this phenomenon is that the permanent magnet is close to the air-gap magnet is close to the air-gap due to an increase in the smaller demagnetization ratio is. We analyzed the thickness at an interval of 0.2mm 4. Conclusion Furthermore, the demagnetization ratio is increased due to the reverse magnetic fieldtob zero the horizontal represents the model which the rib is not present. The and mai stator.inFigure 9 shown axis the demagnetization ratio in in accordance with the rip thickness width. Furthermore, the demagnetization ratio is increased the rib has the largest demagnetization is that the of the stator doe smaller demagnetization ratio is. We analyzed themagnetomotive thickness at anforce interval of 0.2mm to This paper concerns a concentrated flux structure the magnet.axis On represents the other hand, in theinmodel which thenot ribpresent. is present, due to the reverse magnetic field by the magnetomotive zeropermanent in the horizontal the model whichinthe rib is Thethe maim leaks into and affects the permanent magnet less. the rib hasthe therib largest demagnetization that the magnetomotive force of the stator doe ­spoke-type IPMSM and analyzes the ischaracteristics of the force of a stator. Figure 9 shown the demagnetization ratio the permanent magnet. On the other hand, in the model in which the rib is present, the m motor byleaks analyzing air-gap magnetic fluxless. density and 4. into Conclusion the ribthe and affects the permanent magnet in accordance with the rip thickness and the larger the rib This paper concerns a the concentrated flux structure the spoke-type IPMSM and analyzes t cogging torque. To analyze factors affecting air-gap thickness is, the smaller demagnetization ratio is. We(b) ana4. Conclusion analyzing the air-gap magnetic flux density and cogging torque. To analyze the factors af magneticweflux, we focused changes in the shapes focused changesaon in the rotor shapes and rotor carried out analysis cogging lyzed the thickness at an interval of 0.2mm to 0.58mm and This paperonconcerns concentrated flux structure spoke-type IPMSM of andthe analyzes t demagnetization through changes in the cross-sectional areas andTorib thickness. Especial Figure 8. Torque and efficiency of the rotor in accordance with shapes and carried analyzing the air-gap magnetic flux density and cogging torque. analyze the factors af out analysis of the cogging torque, torque, the part(a)marked by zero in the horizontal axis represents the thickness of the output by the cross-sectional area of the permanent magnet. Since a Width of the permanent magnet (b) Rib thickness. we focused on changes in the rotor shapes and carried out analysis of the cogging IPMSM canthrough use non-rare permanent magnets which are more adv efficiencytype and demagnetization through changes inandthe demagnetization changes earth-based in the cross-sectional areas rib thickness. Especial the model in which the rib is not present. The main reason permanent magnets in terms oftheprice, it is suitable electronics the thickness of theand output cross-sectional areaforof automotive the large permanent magnet. areas Sincewa cross-sectional areas ribby thickness. Especially, important. However, spoke-type IPMSM has disadvantages in terms of cog 3.5 Demagnetization why this model without theInterpretation rib has the largest demagnetype IPMSM can use the non-rare earth-based permanent magnets which are more adv demagnetization. Therefore, this paper, propose aoutput solution toby thiselectronics problem. areas w permanent magnets in terms ofthickness price, it we is suitable automotive proportion in circuit width than theinmagnetic of thefor of the permanent according magnetic and external tization is The thatcharacteristics the magnetomotive forcemagnet of thevary stator doesto temperature, important. the can spoke-type has disadvantages in terms of cog field. In the case of a non-rare earth metal-based ferrite magnet, a large field at lowHowever, temperature lead to IPMSMmagnet. thereverse cross-sectional area of the permanent Since Therefore, this paper, we propose a solution to this problem. not leakirreversible into the demagnetization. rib and affectsIfthe On point takes thepermanent reverse field magnet. below the knee placedemagnetization. in5.theAcknowledgement B-H curve of the in permanent 5 as a concentrated flux, the spoke-type IPMSM can use This work was supported by the National Research Foundation of Korea (NRF) grant magnet, irreversible demagnetization occurs . In addition, the properties are changed by heat and the lower the the other hand, in the model in which the rib is present, (MSIP) (No.2015R1C1A1A01055013). 5. Acknowledgement temperature, the coercive force is. The material of the permanent magnetnon-rare used in this paper is 7BE and the B-H curve is earth-based permanent magnets which are more the magnetomotive force of the above, statordemagnetization leaks into the ribferrite magnet can takeThis shown in Figure 8. As described of the placework if the becomes wastemperature supported by the National Research Foundation of Korea grant Comment [R3]: AU: Kindly(NRF) check the fig than rare earth-based permanent magnets in numbers 6. References (No.2015R1C1A1A01055013). low. This can be referred to demagnetization at low temperature and theadvantageous operation(MSIP) point become below the knee point and affects the permanent magnet less. due to changes in the residual magnetic flux and the coercive force according to the terms oftemperature. price, it is suitable for automotive electronics areas 1. 6.KimReferences HW, Kim KT, Jo YS, Hur J. optimization methods of torque density for developing the neodymi Transactions. May; 49(5):2173–6. which regard weight2013 and price as important. However, the 1. Kim HW, Kim KT, Jo YS, Hur J. optimization torque density for developing the neodym spoke-type IPMSM has disadvantages inmethods termsof of cogging Transactions. 2013 May; 49(5):2173–6. torque, flux leakage and demagnetization. Therefore, in this paper, we propose a solution to this problem. 5. Acknowledgement Figure 7. B-H curve. Vol 9 (14) | April 2016 | www.indjst.org Figure 7. B-H curve. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Comment [R4]: AU: Kindly check the fig government (MSIP) (No.2015R1C1A1A01055013). numbers Indian Journal of Science and Technology 5 Reliability Analysis of Permanent Magnet and Air-gap Flux Density of Spoke-type IPMSM for Driving Cooling Fans 6. References 1. Kim HW, Kim KT, Jo YS, Hur J. optimization methods of torque density for developing the neodymium free spoke-type BLDC Motor. IEEE Transactions. 2013 May; 49(5):2173–6. 2. Chiba K, Takemoto M, Ogasawara S, Yim WG. ­Ferrite-magnet spoke-type IPMSM with W-shaped magnet placement. Proceedings IECON; 2013 Nov. p. 2869–74. 3. Ohira S, Hasegawa N, Miki I, Matsuhashi D, Okitsu T. Torque characteristics of IPMSM with spoke and axial type magnets. International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM); 2012. p. 818–21. 6 Vol 9 (14) | April 2016 | www.indjst.org 4. Hwang KY, Rhee SB, Lee JS, Kwon BI. Shape optimization of rotor pole in spoke type permanent magnet motor for reducing partial demagnetization effect and cogging torque. Proceeding of International Conference on Electrical Machines and Systems; Seoul: Korea; 2007 Oct. p. 8–11,. 5. Hong CH, Seol HS, Jun HW, Liu HC, Lee J. Characteristic analysis of spoke-type IPMSM corresponding to the rib structure. 17th International Conference on Electrical Machines and Systems (ICEMS); Hangzhou: China; 2014 Oct 22–25. p .421–4. 6. Ionel DM, Balchin MJ, Eastham JF, Demeter E. Finite element analysis of brushless DC motors for flux weakening operation. IEEE Transactions on Magnetics. 1996 Sep; 32(5):5040–42. Indian Journal of Science and Technology