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The thirteenth lecture / electronic circuit design course

30/4/2021

‫المرحلة الثالثة‬/‫ تصميم دوائر االلكترونية‬...................................................................... ‫احمد عدنان المظفر‬.‫م‬.‫م‬ AC VOLTAGE CONTROLLERS A voltage controller, also called an AC voltage controller or AC regulator is an electronic module based on either thyristors, which converts a fixed voltage, fixed frequency alternating current (AC) electrical input supply to obtain variable voltage (vary the RMS value) in output delivered to a resistive load. If a thyristor switch is connected between ac supply and load, the power flow can be controlled by varying the rms value of ac voltage applied to the load is controlled by varying the trigger angle ‘’ THE MOST COMMON APPLICATIONS OF AC VOLTAGE - industrial heating - on-load transformer connection changing (Transformers tap changing ) - light controls -speed control of polyphase induction motors, and -ac magnet controls TYPE OF AC VOLTAGE CONTROLLERS CLASSIFIED ACCORDING TO 1- phase will used: The ac voltage controllers are classified into two types based on the type of input ac supply applied to the circuit.  Single Phase AC Controllers.  Three Phase AC Controllers. 2- current flow and control method:  Uni-directional or half wave ac controller.  Bi-directional or full wave ac controller. 3- configuration  ON-OFF control  phase control 61 ‫المرحلة الثالثة‬/‫ تصميم دوائر االلكترونية‬...................................................................... ‫احمد عدنان المظفر‬.‫م‬.‫م‬ PRINCIPLE OF ON-OFF CONTROL TECHNIQUE (INTEGRAL CYCLE CONTROL) In on–off control, thyristor switches connect the load to the ac source for a few cycles of input voltage and then disconnect it for another few cycles. In phase control, thyristor switches connect the load to the ac source for a portion of each cycle of input voltage. Thyristors are turned ON precisely at the zero voltage crossings of the input supply to reduce the harmonics generated by switching actions. The thyristor switches T1 and T2 are turned on by applying appropriate gate trigger pulses to connect the input ac supply to the load for ‘n’ number of input cycles during the time interval tON . The thyristor switches T1 and T2 are turned off by blocking the gate trigger pulses for ‘m’ number of input cycles during the time interval tOFF . The ac controller ON time tON usually consists of an integral number of input cycles. For a sine wave input supply voltage: 𝑣𝑠 = 𝑉𝑚 𝑠𝑖𝑛𝜔𝑡 = √2 𝑉𝑠 𝑠𝑖𝑛𝜔𝑡 Vs :RMS value of input ac supply =Vm/√2 = RMS phase supply voltage. If the input ac supply is connected to load for ‘n’ number of input cycles and disconnected for ‘m’ number of input cycles, then tON = n x T , tOFF=m x T Where T= 1/f input cycle time (time period) and f = input supply frequency. To= Output time period = tON + tOFF We can show that, Output RMS voltage Vo(r.m.s) = Vs √ 𝑡𝑂𝑁 𝑇𝑜 62 ‫المرحلة الثالثة‬/‫ تصميم دوائر االلكترونية‬...................................................................... ‫احمد عدنان المظفر‬.‫م‬.‫م‬  Drive an Expression for output RMS Voltage: 𝑉𝑂(𝑟.𝑚.𝑠) 2π Vm n ∫ (Vm sinωt)2 𝑑𝜔𝑡 = =√ √𝑘 2π(n + m) 0 √2 𝐼𝑂(𝑟𝑚𝑠) = 𝑉𝑂(𝑟𝑚𝑠) R Power factor = Power delivered to resistive load / Input Volt Amperes PF = √𝑘  Drive an Expression for average current and RMS current of Thyristor: 𝐼𝑇(𝑎𝑣𝑔) π Im K n ∫ Im sinωt 𝑑𝜔𝑡 = = π 2π(n + m) 0 π n Im ∫ (Im sinωt)2 𝑑𝜔𝑡 = √𝑘 𝐼𝑇(𝑟.𝑚.𝑠) = √ 2π(n + m) 0 2 Example 40: A single phase full wave AC controller working on ON-OFF control technique feeds load of 50k with input voltage 230V , 50Hz , the controller is ON for 30 cycles and OFF for 40 cycles find: (a) ON and OFF time intervals (b) RMS output voltage (c) power factor (d) average and RMS thyristor current. Example 41: A single phase 120V AC control power to 5M load using integral cycle controller if the ON integral cycle is half the OFF integral cycle calculate : (a) RMS output current (b) input power factor (c) average and RMS thyristor current (d) average and maximum output load power. Example 42: A single phase 208V AC control power to R=4Ω load if the desired output power is 3 KW, determine the duty cycle and the input power factor. 63