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PA DE O FM RTMEN ARINE EL T N IC O R T C E SPICE-modelling and the analysis of the self-excited push-pull dc-dc converter with selfheating taken into account Krzysztof Górecki and Janusz Zarębski Department of Marine Electronics Gdynia Maritime University, POLAND S Outline Introduction The structure of the push-pull dc-dc converter The electrothermal hybrid models of the diode and the BJT The electrothermal model of the transformer Results of investigations Conclusions 2 Introduction Dc-dc converter RLC elements transformer Semiconductor devices transistors diodes 3 Introduction (cont.) Selfheating – results from changing the electrical energy into the heat and non-ideal cooling conditions Due to selfheating Internal temperatures of semiconductor devices increase Characteristics and parameters values of SMPS change Electrothermal analysis – analysis with selfheating taken into account 4 In the paper The new electrothermal models (ETM) of: the diode the BJT the pulse transformer dedicated for electrothermal analysis of SMPS in SPICE Measurements and calculations of nonisothermal characteristics of the self-excited push-pull dc-dc converter Why the new models are needed? the literature models are complicated the time duration of calculations with these models is unacceptable long 5 The structure of the push-pull dc-dc converter T1 Tr R1 U11 Vin U12 D D1 T2 U21 C Ro Vout U22 D2 RB1 RB2 • The transistors are switched alternativelly • the core of the transformer operate with the saturation • R1-D – the start circuit 6 The ETMs of the diode and the BJT • The general conception Electrothermal hybrid model SPICE isothermal built-in model Controlled sources modelling the + + influence of selfheating Thermal model • Only characteristics of the forward biased diode and switched-on transistor operating in SMPS are important 7 The ETMs of the diode and the BJT (cont.) v C iC WMS vD1 A ERS i K D1 E1 ERC Cth Tj Tj vB B Rth Rth WMS iB pth pth vBE E 4 4,5 BY229 4 BD283 3,5 Ta = 300 K 3,5 Ta = 300 K 3 3 iB = 200 mA 2,5 iC [A] i [A] vCE Cth 2,5 2 2 iB = 100 mA 1,5 1,5 1 1 0,5 0,5 0 0 0 0,2 0,4 0,6 0,8 1 1,2 1,4 0 1 1,5 2 uCE [V] u [V] nonisothermal calculations 0,5 isothermal calculations measurements 8 The ETMs of the pulse transformer Windings I1 1A VL1 = 0 EV1 RS1 GR1 Auxiliary circuits B Bsat H ERS1 EBsat EH EB Re1 E11 EV2 RS2 GR2 Re2 ERS2 2B C2 EDB E2 R2 Thermal model Ce2 VL3 = 0 EV3 RS3 ERS3 3B RthU GPU EV4 RS4 EV5 RS5 ERS4 CthU GPR1 4B I5 TR VL5 = 0 I6 6A C1 TU VL4 = 0 5A D2 E1 R 1 I3 4A ETS In the model: DB E12 I4 Ec D1 VL2 = 0 3A TS Ce1 I2 2A c 1B VL6 = 0 EV6 RS6 ERS5 ERS6 5B RthR 6B GPR GPU1 Equations – see Proceedings CthR – The core without histeresis – Separated temperatures of the core and the windings – The core characteristics dependent on the core temperature – The skin effect in the windings – The mutual thermal interaction between the core and windings 9 Results of investigations Transient analysis till the steady-state One non-physical thermal time constant – to short the time of calculations 90 80 R0 = 51.5 W Ta = 20oC 70 70 60 50 h [%] Vout [V] 60 R0 = 51.5 W Ta = 20oC 80 40 30 50 40 30 20 20 10 10 0 0 2 4 6 8 10 12 14 Vin [V] 16 0 0 2 4 6 8 10 12 14 Vin [V] results of calculations results of measurements 10 16 Results of investigations (cont.) 50000 90 45000 R0 = 51.5 W o 40000 Ta = 20 C 70 35000 60 30000 TR [oC] f [Hz] R0 = 51.5 W o Ta = 20 C 80 25000 20000 50 40 30 15000 10000 20 5000 10 0 0 0 2 4 6 8 10 12 14 Vin[V] 16 0 2 4 6 8 10 12 14 Vin [V] results of calculations results of measurements 11 16 Conclusions • A very good agreement between the calculated and • measured non-isothermal characteristics of the selfexcited push-pull dc-dc converter is achieved within a wide range of changes in the input voltage and the load resistance. From the authors’ investigations it results that even at relatively high values of the load resistance the transformer temperature can be high as a result of the energy losses in the core. This temperature is the increasing function of the frequency of the converter operation. 12