Chapter 15 Transformer Design

Fundamentals of Power ElectronicsChapter 15: Transformer design1 Chapter 15 Transformer DesignSome more advanced Design issues, not considered in previouschapter: Inclusion of core loss Selection of operating fluxdensity to optimize total loss Multiple winding Design : as inthe coupled-inductor case,allocate the available windowarea among several windings A Transformer designprocedure How switching frequencyaffects Transformer sizen1 : n2: nkR1R2Rk+v1(t) +v2(t) +vk(t) i1(t)i2(t)ik(t)Fundamentals of Power ElectronicsChapter 15: Transformer design2 Chapter 15 Transformer Transformer Design : Basic A step-by-step Transformer Design AC inductor SummaryFundamentals of Power ElectronicsChapter 15: Transformer Transformer Design :Basic ConstraintsCore lossTypical value of for ferrite materials: or B is the peak value of the ac component of B(t), , the peak ac fluxdensitySo increasing B causes core loss to increase rapidlyThis is the first constraintPfe=Kfe( B) AclmFundamentals of Power ElectronicsChapter 15: Transformer design4 Flux densityConstraint #2 Flux density B(t) is related to theapplied winding voltage accordingto Faraday s Law.

Fundamentals of Power Electronics Chapter 15: Transformer design16 Check: computed transformer model i M, pk = λ1 2L M R 1 = ρn 1 (MLT) A w1 R 2 = ρn 2 (MLT) A w2 Predicted magnetizing inductance, referred to primary: Peak magnetizing current: Predicted winding resistances: n 1: n 2: n k R 1 R 2 R k i 1 (t) i 2 (t) i k (t) L M i M (t) L M ...

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  Model, Transformers, Transformer model

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