磁环设计

使用說明 : ★ 紅色字體為輸入參數 . ★ 注意 Fig1 / Fig2的變換 . ★ 以Fig1設計時, 适用於單組或以上線圈串聯輸入 . Np為一組時輸入11,~,Np為5五組時輸入15 . ★ 以Fig2設計時, PRI限於23組線圈并聯輸入, .Np為2組時輸入22, ★ 沒用到的繞組參數輸入0 . ★ 計算時調整輸入之α與計算之α相等 . 環境溫度: 25℃ 請輸入 : 本設計電路形式: 11 ( Fig1/11~15, Fig2/22 ) 鐵芯材質: 1 等級1,2,3. Ep1 (V): 220 Eo1 (V): 22.00 Io1(A): 2.000 規格: T120/60/40 mm Ep2 (V): 0 Eo2 (V): 63.00 Io2(A): 5.000 f : 50 Hz Ep3 (V): 0 Eo3 (V): 0.00 Io3(A): 0.000 Bm : 1.7 T Ep4 (V): 0 Eo4 (V): 0.00 Io4(A): 0.000 α: 4.51 % Ep5 (V): 0 T: 45.0 ℃ 計算結果 : Ap需求值: 303.772 cm4 占積率(初1): 38.22 % 計算得α1: 4.51 % Ap實值: 288.398 cm4 ΔT( ℃ ): 31.4 ℃ 鐵芯重量( g ): 2206.2 g I(X1)mA: 30.93 REF(輸入Np1) PRI1 PRI2 PRI3 PRI4 PRI5 SEC1 SEC2 SEC3 SEC4 圈數( T ): 571 0 0 0 0 60 171 1 1 線徑(mm): 1.1740 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 1.2424 1.9643 0.0000 0.0000 線徑修正(mm): 1.000 0.360 0.050 0.050 0.050 1.100 1.600 1.400 0.800 銅線重量( g ): 776.25 0.00 0.0 0.0 0.0 105.08 716.92 3.4 1.1 銅阻(Ω): 2.39 0.00 0.00 0.00 0.00 0.220 0.337 0.000 0.000 參考文獻 Weight1 Weight2 Weight3 Weight4 Weight5 Weight6 Weight7 Weight8 Weight9 X 0.0720 0.0093 0.0002 0.0002 0.0002 0.0871 0.1843 0.1411 0.0461 -0.13 column c1 column c2 column c3 column c4 column c5 column c6 column c7 column c8 column c9 Ku 217.6 1679.4 87059.1 87059.1 87059.1 179.9 85.0 111.0 340.1 0.4 OD ID HT Ks Sw Kj Ac(cm2) lm Kf AT 12.0 6.0 4.0 50.9 28.27 345 10.200 28.274 4.44 0.775 Low FrequencyTransformer Design Equations(磁環 ) COM NP1 NP2 NP3 NP4 NP5 NS1 NS2 NS3 NS4 Fig1 Fig2 NP1 NP2 NS1 NS2 設計步驟 STEP NO.1 計算輸出功率 359.0 VA STEP NO.2 計算效率 η=(100-α)/(100+α)= 0.914 PIN=Po/η= 392.9 VA STEP NO.4 計算總功率 Pt=PIN+Po= 751.9 VA STEP NO.5 計算鐵芯MATCH_ word word文档格式规范word作业纸小票打印word模板word简历模板免费word简历 _1716977519053_0面積 303.772 cm4 STEP NO.6 計算初級圈數 Np1=(Ep1*10 4)/(Kf*Bm*f*Ac)= 571 T Np2=(Ep2*10 4)/(Kf*Bm*f*Ac)-Np1= 0 T Np3=(Ep3*10 4)/(Kf*Bm*f*Ac)-Np1-Np2 = 0 T Np4=(Ep4*10 4)/(Kf*Bm*f*Ac)-Np1-Np2-Np3 = 0 T Np5=(Ep5*10 4)/(Kf*Bm*f*Ac)-Np1-Np2-Np3-Np4 = 0 T STEP NO.7 計算初級電流 1.786 A IP2 = PIN/Ep2 = #DIV/0! A #DIV/0! A IP4 = PIN/Ep4 = #DIV/0! A IP5 = PIN/Ep5 = #DIV/0! A J=Kj*ApX = 165.08 A/cm2 STEP NO.9 計算初級線徑 最大外徑 dp1 = 11.287*(Ip1/J) 1/2 = 1.1740 mm 輸入修正值 : 0.1000 cm 0.1100 cm dp2 = 11.287*(Ip2/J) 1/2 = #DIV/0! mm 輸入修正值 : 0.0360 cm 0.0396 cm dp3 =11.287* (Ip3/J) 1/2 = #DIV/0! mm 輸入修正值 : 0.0050 cm 0.0055 cm dp4 = 11.287*(Ip4/J) 1/2 = #DIV/0! mm 輸入修正值 : 0.0050 cm 0.0055 cm dp5 =11.287* (Ip5/J) 1/2 = #DIV/0! mm 輸入修正值 : 0.0050 cm 0.0055 cm STEP NO.10 計算初級銅阻 修正 : h1 = 0.4032 cm 0.4032 cm h2 = 0.0000 cm 0.0396 cm h3 = 0.0000 cm 0.0055 cm h4 = 0.0000 cm 0.0055 cm h5 = 0.0000 cm 0.0055 cm MLT初1= (2HT+OD-ID+6h1)*1.15 = 18.882 cm MLT初2= (2HT+OD-ID+6(h1+h2))*1.15 = 19.155 cm MLT初3= (2HT+OD-ID+6(h1+h2+h3))*1.15 = 19.193 cm MLT初4= (2HT+OD-ID+6(h1+h2+h3+h4))*1.15 = 19.231 cm MLT初5= (2HT+OD-ID+6(h1+h2+h3+h4+h5))*1.15 = 19.269 cm 2.39 Ω Po=Eo1*Io1+…+Eon*Ion = STEP NO.3 計算 輸入功率 Ap=[(Pt*104)/(Kf*Ku*Kj*f*Bm)]1/(1+X) = Ip1 = PIN/Ep1 = STEP NO.8 計算電流密度 Ip3 = PIN/Ep3 = 側=N*d2/(π*ID) Rp1=MLT初1*Np1*Column C1*δ*10-6 = 外=N*d2/(π*OD)*K (K=0.9) 內=N*d2/(π*ID)*K (K=1.2) RP2=MLT初2*Np2*Column C2*δ*10-6 = 0.00 Ω RP3=MLT初3*Np3*Column C3*δ*10-6 = 0.00 Ω RP4=MLT初4*Np4*Column C4*δ*10-6 = 0.00 Ω RP5=MLT初5*Np5*Column C5*δ*10-6 = 0.00 Ω STEP NO.11 計算初級銅損 Pcu初1=IP12*Rp1= 7.63 W Pcu初2=Ip22*(Rp1+Rp2) = #DIV/0! W Pcu初3=Ip32*(Rp1+Rp2+Rp3) = #DIV/0! W Pcu初4=Ip42*(Rp1+Rp2+Rp3+Rp4) = #DIV/0! W Pcu初5=Ip52*(Rp1+Rp2+Rp3+Rp4+Rp5) = #DIV/0! W STEP NO.12 計算次級圈數 Ns1=(Np1*Eo1)/Ep1*(1+α/100) = 59.68 T Ns2=(Np1*Eo2)/Ep2*(1+α/100) = 170.89 T Ns2=(Np1*Eo2)/Ep2*(1+α/100) = 0.00 T Ns2=(Np1*Eo2)/Ep2*(1+α/100) = 0.00 T STEP NO.13 計算次級線徑 最大外徑 ds1=11.287*(Io1/J) 0.5 = 1.2424 mm 修正值為 0.1100 cm 0.1210 cm ds2=11.287*(Io2/J) 0.5 = 1.9643 mm 修正值為 0.1600 cm 0.1760 cm ds3=11.287*(Io3/J) 0.5 = 0.0000 mm 修正值為 0.1400 cm 0.1540 cm ds4=11.287*(Io4/J) 0.5 = 0.0000 mm 修正值為 0.0800 cm 0.0880 cm STEP NO. 14 銅線占窗面積 Nd2初=Np*dp2 = 5.7100 cm Nd2次=Ns*ds2 = 5.0968 cm (Nd2初+Nd2次)/Sw = 0.38 要求: NΦ2/Sw ≦ 40% STEP NO.15 次級銅阻 修正 : h1 = 0.0602 cm 0.1210 cm h2 = 0.3830 cm 0.3830 cm h3 = 0.0000 cm 0.1540 cm h4 = 0.0000 cm 0.0880 cm MLT初6= (2HT+OD-ID+6(h1+h2+h3+h4+h5+h6))*1.15 = 20.104 cm MLT初7= (2HT+OD-ID+6(h1+h2+h3+h4+h5+h6+h7))*1.15 = 22.747 cm MLT初8= (2HT+OD-ID+6(h1+h2+h3+h4+h5+h6+h7+h8))*1.15 = 23.809 cm MLT初9= (2HT+OD-ID+6(h1+h2+h3+h4+h5+h6+h7+h8+h9))*1.15 = 24.416 cm Rs1=MLT 次1*Ns1*Column C6*δ*10-6 = 0.220 Ω Rs2=MLT 次2*Ns2*Column C7*δ*10-6 = 0.337 Ω Rs3=MLT 次3*Ns3*Column C8*δ*10-6 = 0.000 Ω Rs4=MLT 次4*Ns4*Column C9*δ*10-6 = 0.000 Ω STEP NO.16 次級銅損 Pcu次1=Io12*Rs1= 0.880 W Pcu次2=Io22*Rs2= 8.427 W Pcu次3=Io32*Rs3= 0.000 W Pcu次4=Io42*Rs4= 0.000 W STEP NO.17 總銅損 PCU1 = Pcu初+Pcu次 = 16.942 W PCU2 = Pcu初+Pcu次 = #DIV/0! W PCU3 = Pcu初+Pcu次 = #DIV/0! W PCU4 = Pcu初+Pcu次 = #DIV/0! W PCU5 = Pcu初+Pcu次 = #DIV/0! W STEP NO .18 電壓調整率驗算 α1 = Pcu1/(Po+Pcu1)*100 = 4.51 % α2 = Pcu2/(Po+Pcu2)*100 = #DIV/0! % α3 = Pcu3/(Po+Pcu3)*100 = #DIV/0! % α4 = Pcu4/(Po+Pcu4)*100 = #DIV/0! % α5 = Pcu5/(Po+Pcu5)*100 = #DIV/0! % STEP NO.19.效率驗算 0.914 #DIV/0! #DIV/0! #DIV/0! #DIV/0! STEP NO.21.總損耗 PΣ1 = 2Pcu1 = 33.884 W PΣ2 = 2Pcu2 = #DIV/0! W PΣ3 =2Pcu3 = #DIV/0! W PΣ4 =2Pcu4 = #DIV/0! W PΣ5 = 2Pcu5 = #DIV/0! W STEP NO.23.激磁電流 ATOF=AT*lm= 21.92 AT Iol1=AFoo/(20.5*Np1)= 0.0271 A Iow1=Pfe1/Np1= 0.0148 A Iox1=(Iow12+Iol12)0.5= 0.0309 A Iox2=AFoo/(20.5*Np1+Np2) = 0.0271 A Iox3=AFoo/(20.5*Np1+Np2+Np3) = 0.0271 A Iox4=AFoo/(20.5*Np1+Np2+Np3+Np4) = 0.0271 A Iox5=AFoo/(20.5*Np1+Np2+Np3+Np4+Np5) = 0.0271 A STEP NO.24.次級圈數調整 Ns1=(Np1*Eo1)/Ep1*(1+α/100) = 60 T Ns2=(Np1*Eo2)/Ep1*(1+α/100) = 171 T Ns3=(Np1*Eo3)/Ep1*(1+α/100) = 1 T Ns4=(Np1*Eo4)/Ep1*(1+α/100) = 1 T STEP NO.25.輸出空載電壓 Vo1=NS1*EP/NP= 23.117 V Vo2=NS2*EP/NP= 65.884 V Vo3=NS3*EP/NP= 0.385 V Vo4=NS4*EP/NP= 0.385 V STEP NO.26.輸出負載電壓 22.120 V 63.043 V 0.369 V 0.369 V η1 = (100-α1)/(100+α1) = ES4=NS4*EP/(NP*(1+α%))= ES3=NS3*EP/(NP*(1+α%))= η2 = (100-α2)/(100+α2) = ES2=NS2*EP/(NP*(1+α%))= η3 = (100-α3)/(100+α3 )= η4 = (100-α4)/(100+α4) = ES1=NS1*EP/(NP*(1+α%))= η5 = (100-α5)/(100+α5 )= STEP NO.27.銅線重量 WG1=MLT初1*Np1*Weight1 = 776.3 g WG2=MLT初2*Np2*Weight2 = 0.0 g WG3=MLT初3*Np3*Weight3 = 0.0 g WG4=MLT初4*Np4*Weight4 = 0.0 g WG5=MLT初5*Np5*Weight5 = 0.0 g WG6=MLT次1*Ns1*Weight6 = 105.1 g WG7=MLT次2*Ns2*Weight7 = 716.9 g WG8=MLT次3*Ns3*Weight8 = 3.4 g WG9=MLT次4*Ns4*Weight9 = 1.1 g STEP NO.28溫升計算 At = Ks*Ap0.5 = 864.40 cm2 Ψ1=PΣ1/At= 0.039 w/cm2 Ψ2=PΣ2/At= #DIV/0! w/cm2 Ψ3=PΣ3/At= #DIV/0! w/cm2 14.1026 cm Ψ4=PΣ4/At= #DIV/0! w/cm2 ID = 3.589434 Ψ5=PΣ5/At= #DIV/0! w/cm2 HT = 6.2958 Δt1 = (Ψ/0.0005)0.79 = 31.4 ℃ Δt2 = (Ψ/0.0005)0.79 = #DIV/0! ℃ Δt3 = (Ψ/0.0005)0.79 = #DIV/0! ℃ Δt4 = (Ψ/0.0005)0.79 = #DIV/0! ℃ Δt5 = (Ψ/0.0005)0.79 = #DIV/0! ℃ STEP NO.30.鐵芯重量 Wt = 2206.2 g 繞好線包后 OD =