Bài giảng kỹ thuật xung Chương IV

Bài giảng Kỹ thuật Xung Chương Dạng mạch Ths. Nguyễn Trọng Hải Trang 61 Bài giảng Kỹ thuật Xung Chương Dạng mạch Vr A R Vv C Vdc B Hình 4.10 Dạng mạch Vr A R Vv C Vdc B Hình 4.12 Ths. Nguyễn Trọng Hải Trang 62 Bài giảng Kỹ thuật Xung Chương 2. Mạch xén nối tiếp Ta khảo sát tín hiệu ngõ vào dạng hình sin có biên độ max ± V. Các dạng mạch trình bày sau: a. Mạch Xén Âm Dạng mạch Vv R Vr Hình 4.14 Dạng mạch Vdc Vv A B R Vr Hình 4.16 Ths. Nguyễn Trọng Hải Trang 63 Bài giảng Kỹ thuật Xung Chương Dạng mạch Vdc A C Vv R Vr B Hình 4.18 b. Mạch Xén Dương Dạng mạch Vv R Vr Hình 4.20 Ths. Nguyễn Trọng Hải Trang 64 Bài giảng Kỹ thuật Xung Chương Dạng mạch Vdc C A Vv Vr R B Hình 4.22 Dạng mạch Vdc A Vv C R Vr B -VDC Hình 4.24 Ths. Nguyễn Trọng Hải Trang 65 Bài giảng Kỹ thuật Xung Chương III. MẠCH XÉN VỚI DIODE THỰC TẾ Đối với Diode thực tế, phân cực thuận có dạng tương đương sau: A K A Vγ rd K 1. Vγ Khi Vγ so sánh với Vv, với VDC , ta phải kể Vγ vào mạch. Trường hợp thường mạch sử dụng Diode loại Si, có vγ = 0,6V, nguồn VDC bé. Khi VDC >> Vγ , ta bỏ qua Vγ Ta xét dạng mạch mà Vγ so sánh với VDC Vv Vr R VDC=2V Vγ = 0,6 Hình 4.26 Đây dạng mạch xén song song, có Vv = sinωt Nếu VV > Vγ + VDC = 2,6 v , Diode dẫn, tín hiệu vào truyền đến ngõ , lúc ta có VR = VDC + Vγ = 2,6 (V). Nếu vv < Vγ + VDC = 2,6( v), Diode ngưng dẫn, Vr = Vv = sinωt. 2. rd Khi D dẫn tồn điện trở thuận rd (điện trở động), rd so sánh với R (điện trở tải), lúc tín hiệu bò méo không sắc sảo nữa. Ths. Nguyễn Trọng Hải Trang 66 Bài giảng Kỹ thuật Xung Chương Các dạng méo gặp sau Trường hợp a R Vv Vr Vdc Hình 4.27a Trường hợp b Vr Vv R Vdc Hình 4.27b Chứng minh Xét trường hợp a, mạch tương đương diode D D Diode thực tế. Phân cực thuận Vγ A ∆V rd K ∆I Phân cực nghòch rd = ∆V ∆I Io A K Io V Rng = ∆Vng ∆I ng →∞ Rng Với giả sử Rng → ∞ hay Rng >> R (điều phù hợp với thực tế diode loại Si) Khi Vv < VDC + Vγ , diode phân cực nghòch, D tắt ⇒ Vr = Vv hay vr =1 vv Ths. Nguyễn Trọng Hải Trang 67 I Bài giảng Kỹ thuật Xung Chương Khi Vv ≥ VDC + Vγ , D phân cực thuận ⇒ D dẫn, lúc Vra = VDC + Vγ + Vr d (*) Ta có , Vr d = i. rd mà i = vv − (VDC + Vγ ) R + rd = vv . 1 − (VDC + Vγ ). R + rd R + rd Phương trình (*) ⇒ v = vv . r rd − (VDC + Vγ ). d + (VDC + Vr ) R + rd R + rd ⇒ v = vv . ⎛ rd r + (V DC + Vγ ).⎜⎜1 − d R + rd ⎝ R + rd ⇒ v = vv . rd R + (V DC + Vγ ). R + rd R + rd ⎞ ⎟⎟ ⎠ ⎛ R • Nếu rd > rd), thời gian xả hết lâu so với thời gian nạp đầy. IV. MẠCH XÉN Ở MỨC ĐỘC LẬP Mạch dạng mạch ghép hai mạch xén song song với nhau. Để thực mạch này, ta dùng hai ngưỡng xén VB1, VB2 kết hợp với hai Diode, dùng hai Diode Zener. Nhiệm vụ mạch loại bỏ bớt hai thành phần tín hiệu ngõ vào. Khảo sát số dạng mạch xén hai mức độc lập sau: Ths. Nguyễn Trọng Hải Trang 69 Bài giảng Kỹ thuật Xung Chương 1. Dạng mạch dùng diode Vv Vr 5k D2 10k D1 R1 VB1=3V VB2=4V Hình 4.30 Tín hiệu vào dạng sin có vi = sin ωt, giả thuyết Vγ = 0, rd = (Diode lý tưởng) Hình 4.31 2. Dạng mạch dùng diode zener R D1 Vv D2 Vγ1 Vγ2 Vr Hình 4.32 Ths. Nguyễn Trọng Hải Trang 70 Bài giảng Kỹ thuật Xung Chương Hình 4.33 Ths. Nguyễn Trọng Hải Trang 71 Bài giảng Kỹ thuật Xung Chương Bài tập 1. Vẽ đặc tuyến vào-ra dạng sóng mạch sau Vr A +16V R Vv Si C -16V 4V B 2. Cho mạch sau với Vin = 18sin ω t , Vγ = 0, V , VZ = 8V R1 Vin Vẽ đặc tuyến vào (Vin-Vout) dạng sóng Vin, Vout ứng với Vout 1,2K R2 a). R2 = b). R2 = 0.5K Hình c). R2 = 2.2K 3. Cho mạch sau với Vin = 10 sin ω t , Vγ = 0,7 V , VZ = 3V ,rD=0. R2 Vin Vout Vẽ đặc tuyến vào-ra dạng sóng Vin(t) , VOUT(t) ứng với a). R2 = R1 1K b). R2 = 220 Hình 4. Cho mạch sau với Vin = 10 sin ω t , Vγ = 0,6V , VZ = 3V R Vin Vout Vẽ đặc tuyến vào (Vin-Vout) dạng sóng Vin(t) , VOUT(t) ứng với a). rD = Hình b). rD = 0,5K; R=1K 5. Cho mạch sau. Vẽ dạng sóng điện áp ngõ Vr(t) điện áp ngõ vào Vin(t) điện áp khu vực, dạng sin, tần số 50Hz, 220V hiệu dụng, biết Diode bán dẫn ổn áp có Vγ =0,6V ; VZ = 6V a). rD = b). rD = 0,5K 10K Vin(t) DZ Hình 2A Ths. Nguyễn Trọng Hải Trang 72 10K VrA(t) VrB(t) Vin(t) D Hình 2B DZ [...]... giảng Kỹ thuật Xung Chương 4 1 Dạng mạch dùng diode Vv Vr 5k D2 10k D1 R1 VB1=3V VB2=4V Hình 4.30 Tín hiệu vào là dạng sin có vi = 9 sin ωt, và giả thuyết là Vγ = 0, rd = 0 (Diode lý tưởng) Hình 4.31 2 Dạng mạch dùng diode zener R D1 Vv D2 Vγ1 Vγ2 Vr Hình 4.32 Ths Nguyễn Trọng Hải Trang 70 Bài giảng Kỹ thuật Xung Chương 4 Hình 4.33 Ths Nguyễn Trọng Hải Trang 71 Bài giảng Kỹ thuật Xung Chương 4 Bài tập... • Nếu rd có thể so sánh với R (VD rd = 5 Ω , R=10 Ω ) thì quan hệ vào - ra v r = vv rd rd R + (VDC + Vγ ) = V'r Độ dốc là R + rd R + rd R + rd V'r Hình 4.28 Ths Nguyễn Trọng Hải Trang 68 Bài giảng Kỹ thuật Xung Chương 4 3 Ảnh Hưởng Của Điện Dung Liên Cực Cd Giữa hai cực của Diode tồn tại một điện dung liên cực Điện dung này cũng làm dạng sóng ra bò méo Chúng ta khảo sát sự ảnh hưởng của tụ Cd đến.. .Bài giảng Kỹ thuật Xung Chương 4 Khi Vv ≥ VDC + Vγ , D phân cực thuận ⇒ D dẫn, lúc này Vra = VDC + Vγ + Vr d (*) Ta có , Vr d = i rd mà i = vv − (VDC + Vγ ) R + rd = vv 1 1 − (VDC + Vγ ) R + rd R + rd Phương trình... đầy IV MẠCH XÉN Ở 2 MỨC ĐỘC LẬP Mạch này là dạng mạch ghép hai mạch xén song song với nhau Để thực hiện mạch này, ta có thể dùng hai ngưỡng xén VB1, VB2 và kết hợp với hai Diode, hoặc có thể dùng hai Diode Zener Nhiệm vụ của mạch này là loại bỏ bớt cả hai thành phần trên và dưới của tín hiệu ngõ vào Khảo sát một số dạng mạch xén ở hai mức độc lập cơ bản như sau: Ths Nguyễn Trọng Hải Trang 69 Bài giảng . 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. 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. 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