L19: Converter losses and cooling
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- Myron Ramsey
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1 L9: Converter losses and coolng L9: -APR-29 Outlook Power loss estmaton Swtchng losses Conductng losses Temperature estmaton Coolng crcuts Thermal crcuts Effcenc characterzaton of a converter 2-level 3-phase Voltage Source Inverter Lund Unverst / LTH / IEA / AR / EIEN25 /
2 We ll contnue from the prevous lecture Lund Unverst / LTH / IEA / AR / EIEN25 / SKM459GD2E4 IGBT 4 Trench Gate Technolog, solderless snter technolog,, pressure thermal contact, 6 short crcut capablt, Smbol V CES I C I F I Cnom =I Fnom Condtons =25 C, Λ paste =.-2.5 W/mK, s =7 C, =75 C, Values 2 V A A 45 A Lund Unverst / LTH / IEA / AR / EIEN25 /
3 Swtchng & component current U cd /2 T modulaton out - D voltage, u [V] current, [A] 5 T [A] 5 D [A] Lund Unverst / LTH / IEA / AR / EIEN25 / & Inverter losses Is on off off t Swtchng ccle and power loss estmaton condtons Snusodal dut as a functon of tme Voltage utlzaton or the degree of converter modulaton m=û out /(U dc /2) Phase shft φ between the fundamental of AC voltage and current Lund Unverst / LTH / IEA / AR / EIEN25 /
4 Forward characterstcs V ce ( ) temperature dependent threshold voltage of the transstor on-state characterstc r ce ( ) temperature dependent bulk resstance of the transstor on-state characterstc V F ( ) temperature dependent threshold voltage of the dode on-state characterstc r F ( ) temperature dependent bulk resstance of the dode onstate characterstc Lund Unverst / LTH / IEA / AR / EIEN25 / Swtchng energ losses Eon turn on energ dsspaton n the power transstor Eoff turn off energ dsspaton n the power transstor Err reverse recover energ dsspaton of the nverse dodes Lund Unverst / LTH / IEA / AR / EIEN25 / 29-4-
5 Power losses n Transstor T On-state conductng losses mcos P ˆ cnd. T VCE I 2 Energ losses due to swtchng P sw. T mcos 2 KV Iˆ V dc fsw E onoff I V TC Esw 3 Voltage dependenc of swtchng losses.3-.4 Î Ampltude of nverter output current I V Reference values of measured data K V TC Esw Temperature coeffcent of swtchng losses 3e-3 r CE Iˆ Lund Unverst / LTH / IEA / AR / EIEN25 / Power losses n Dode D On-state conductng losses P cnd. D 2 mcos Energ losses due to swtchng K V P sw. T mcos 2 V F Iˆ K I KV I V dc fsw E ˆ rr I V TC 3 Err Voltage dependenc of swtchng losses ~.6 K I Current dependenc of swtchng losses ~.6 Temperature coeffcent of swtchng losses 6e-3 TC Esw r F Iˆ Lund Unverst / LTH / IEA / AR / EIEN25 / 29-4-
6 Inverter load Construct machne based to control equatons T m L L u b b b ub A+ Im u u s m L L C- B- a a a Re ma 2 2 B+ C+ A- ua u u u ma u L s u u u m L uc c c c Lund Unverst / LTH / IEA / AR / EIEN25 / Machne characterstcs Crcle dagram and torque speed characterstc acceleratng current, I s [A] magnetsng current, I s [A] electromagnetc torque, T em [Nm] Ψ m =.4Vs, L =mh, L =2mH, Rs=mΩ, I=4A frequenc, f e [Hz] electromagnetc power, P em [kw] Lund Unverst / LTH / IEA / AR / EIEN25 /
7 Converter losses Lund Unverst / LTH / IEA / AR / EIEN25 / p Thermal crcut Heat flow Heat sources: losses n dodes and transstors Heat snk: natural but perabl forced convecton Thermal resstance: components and thermal connectons between them C d D Juncton R thdc Case (S) Thermal grease C c Heat snk t, end ( Rth P amb) ( e ), start C h Tr C t e t R tht c c R thch h R thh a amb Lund Unverst / LTH / IEA / AR / EIEN25 /
8 7 7 Coolng crcut Lund Unverst / LTH / IEA / AR / EIEN25 / outlet temperature, out [C] channel heght, d [mm] channel heght, d [mm] channel heght, d [mm] channel heght, d [mm] channel heght, d [mm] channel heght, d [mm] channel heght, d [mm] Calculaton of coolng crcuts coolng power, p=c p Q( out - n ) [W] Renolds number, Re=2d h Q/(A) [-] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] flow rate, Q [L/mn] Nusselts number, Nu=f(Re,Pr) [-] heat transfer coeffcent, h=nu k/d h [W/(m 2 K)] temperature drop across boundar laer, P cool /(ha cool ) [K)] pressure drop, dp [Pa] deal coolng suppl power, dpq [-] wndng temperature, T w =T out +P cool /(ha cool ) [C] Drvng parameters for coolng P=f( out,q) at n Flow (Re) and coolant (Pr) characterzaton Heat transfer correlatons (Nu) and coeffcent h Wall and wndng temperature Pressure across coolng channel Power for suppl Epected coolng power P=f( w,q) at n Lund Unverst / LTH / IEA / AR / EIEN25 /
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