Single-phase bridge rectifier Laboratory exercise 1 Single-phase bridge rectifier A rectifier is an electrical device that converts AC (alternating current) to DC (direct current), a process known as rectification. Rectifiers have many uses including as components of power supplies and as detectors of radio signals. The primary application of rectifiers is to derive DC power from an AC supply. Virtually all electronic devices require DC, so rectifiers find uses inside the power supplies of all electronic equipment. A Single-phase bridge rectifier (2-pulse rectifier) converts both polarities of the input waveform to DC. Pic 1 Single-phase bridge rectifier (R load, α = 0º) An average value (AV) of rectified voltage: 2 2 2 (1.1) U dAV (0) U m sin( t )d (t ) U RMS 0,9 U RMS 2 0 Um – peak voltage, URMS – effective supply voltage Average voltage-control angle dependency (see Pic 4) only for R load: 2 2 1 cos U dAV ( ) U m sin( t )d (t ) U RMS 1 cos U dAV (0) 2 2 (1.2) Pic 2 Output voltage for R load, α = 60º 1 Ing. Lukáš Odlevák, Ing. Petr Vaculík Single-phase bridge rectifier An analytic description of average voltage UdAV for RL load and discontinuous current doesn’t exist. But it exists for continuous current (in case of higher inductance). Average voltage in case of continuous current for various types of load (R, RL, RL+E, etc): 2 (1.3) U dAV ( ) U m sin( t )d (t ) U dAV (0) cos 2 Pic 3 Output voltage for RL load, α = 30º R load (L=0), dc UdAV UdAV(α) UdAV(0°) UdAV(0°) L load (R=0), cc RL load, dc L load (R=0), cc 0° 90° 180° Pic 4 Control characteristic UdAV = f (α) for various types of load cc - continuous current, dc - discontinuous current Task 1. Measure control characteristic UdAV = f (α) for various types of load (R, RL, RL+V0, RL+E, RL-E) in case of continuous and discontinuous current. 2. Make the graph of all measured waveforms (use per-unit quantity: U dAV ). U dAV 0 3. Add calculated waveform of R load (1.2) and continuous current (1.3) to the same graph. 2 Ing. Lukáš Odlevák, Ing. Petr Vaculík Single-phase bridge rectifier Pic 5 Wiring diagram Device: TR V1 – V4 V0 S1 A transformer Rectifier (2-pulse) zero diode switch Ammeter V Voltmeter R variable resistor L inductor E DC motor Control circuit: α = f(Ucontrol) Laboratory measurement Ucontrol [V] α [ms] α [º] UdAV [V] R UdAV [V] RL UdAV [V] RL+V0 UdAV [V] RL+E UdAV [V] RL-E Optional reference: http://www.falstad.com/circuit/index.html Circuit Simulator/Circuits/Diodes/Full-Wave http://en.wikipedia.org/wiki/Rectifier Rectifier output smoothing 3 Ing. Lukáš Odlevák, Ing. Petr Vaculík