Transcription of Chapter 15 Transformer Design
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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 design22 Determine wire sizes Fraction of window area allocated to each winding: α 1 = 4A 8A = 0.5 α 2 = 1 5 20 A 8A = 0.5 (Since, in this example, the ratio of winding rms currents is equal to the turns ratio, equal areas are allocated to each winding) Wire areas: A w1 = (0.5)(0.5)(0 ...
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