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With single-phase AC power there is only one single sinusoidal voltage. The Three-Phase Voltage System Three-phase voltage systems are composed of three sinusoidal voltages of equal magnitude, equal frequency and separated by 120 degrees. POWER IN BALANCED THREE-PHASE LOADS •The voltage across is line voltage •The current is phase current. Figure 7 – Delta connection – three phase, three wires. So, VD = 1.732 x 21.2 x 100 x 80/83,690 = 3.51 Voltage Drop Example 3 — Find the size of copper wire needed in a single-phase application to carry a The Wye configuration is used to distribute power to everyday single-phase appliances found in the home and office. The main advantage is that, since the phase currents of three-phase power cancel each other out, it is possible to reduce the size of the neutral wire or to eliminate it altogether. 1 Chapter 11 Balanced Three-Phase Circuits 11.1-2 Three-Phase Systems. (The “480” designates Answer: Applying the three-phase formula for voltage drop, where: K = 21.2 ohms-cmil/ft for aluminum; I = 100 amps; D = 80 ft; cmil = 83,690 cmil. Analysis of 3 phase rectifier with resistive load: Notation: Let V m = Peak line to neutral voltage Useful Integration formula: 4 3 6 6 cos ( ) 6 ∫ 2 = + − π ω ω π π td t 1. 3. •The angle between V & I is the angle on the impedance. Figure 1 Three-Phase Voltage System Sequence {1-2-3} V12 Reference Figure 1 illustrates real-time cosine functionality and associated phasor notation for a 3-phase line-to-line In a three-phase system, the power delivered to the load is the same at any instant. 11.5 Power Calculations in Balanced Three-phase ac power has a number of advantages over other means of power distribution. 11.3 Analysis of the Y-Y Circuit. A 500-kVA, 3-phase, 50 Hz transformer has a voltage ratio (line voltages) of 33/11 kV and is delta/star connected. The resistances per phase are: high voltage 35 Ω, low voltage 0.876 Ω and the iron loss is 3050 W. Calculate the value of efficiency at This means that three-phase power … The power delivered by a three-phase circuit pulsates also, but it never falls to zero, Figure 12-2. Single- phase loads are connected to one leg of the wye between line and neutral. A common electrical service to commercial and industrial users would be 480-3-60. Line to line voltage: W applied = 3 1/2 U ll I cos Φ = 3 1/2 U ll I PF (1) where. This produces superior operating characteristics for three-phase motors. Since the phase impedances of balanced wye or delta loads contain equal currents, the phase power is one-third of the total power. Peak Output Voltage = peak of the line of line voltage = 3×Vm 2. Outline Power Generation Fundamental Concepts (recap) 1-Phase: V, I, S,P, Q, PF Balanced 3-phase Line-line vs. line- neutral voltage The three phase circuits would be used to power motors whereas the single phase branches of the three phase service would typically be used for lighting, heating and fractional horsepower motors. Go back to Three phase power measurements ↑ Wye and Delta comparison. Most AC power today is produced and distributed as three-phase power where three sinusoidal voltages are generated out of phase with each other. W applied = real power (W, watts) 11.4 Analysis of the Y- Circuit. Average Value of the output voltage may be got by averaging over a single Real Power. The power falls to zero three times during each cycle.

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