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Home AC Polyphase AC Circuits Threephase Y and Delta configurations  
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ThreePhase Y and Delta ConfigurationsY configuration Star configuration Delta configurationInitially we explored the idea of threephase power systems by connecting three voltage sources together in what is commonly known as the "Y" (or "star") configuration. This configuration of voltage sources is characterized by a common connection point joining one side of each source: If we draw a circuit showing each voltage source to be a coil of wire (alternator or transformer winding) and do some slight rearranging, the "Y" configuration becomes more obvious: Line, polyphase systemThe three conductors leading away from the voltage sources (windings) toward a load are typically called lines, while the windings themselves are typically called phases. In a Yconnected system, there may or may not be a neutral wire attached at the junction point in the middle, although it certainly helps alleviate potential problems should one element of a threephase load fail open, as discussed earlier: Voltage, line Voltage, phase Current, line Current, phaseWhen we measure voltage and current in threephase systems, we need to be specific as to where we're measuring. Line voltage refers to the amount of voltage measured between any two line conductors in a balanced threephase system. With the above circuit, the line voltage is roughly 208 volts. Phase voltage refers to the voltage measured across any one component (source winding or load impedance) in a balanced threephase source or load. For the circuit shown above, the phase voltage is 120 volts. The terms line current and phase current follow the same logic: the former referring to current through any one line conductor, and the latter to current through any one component. Yconnected sources and loads always have line voltages greater than phase voltages, and line currents equal to phase currents. If the Yconnected source or load is balanced, the line voltage will be equal to the phase voltage times the square root of 3: However, the "Y" configuration is not the only valid one for connecting threephase voltage source or load elements together. Another configuration is known as the "Delta," for its geometric resemblance to the Greek letter of the same name (Δ). Take close notice of the polarity for each winding in the drawing below: At first glance it seems as though three voltage sources like this would create a shortcircuit, electrons flowing around the triangle with nothing but the internal impedance of the windings to hold them back. Due to the phase angles of these three voltage sources, however, this is not the case. One quick check of this is to use Kirchhoff's Voltage Law to see if the three voltages around the loop add up to zero. If they do, then there will be no voltage available to push current around and around that loop, and consequently there will be no circulating current. Starting with the top winding and progressing counterclockwise, our KVL expression looks something like this: Indeed, if we add these three vector quantities together, they do add up to zero. Another way to verify the fact that these three voltage sources can be connected together in a loop without resulting in circulating currents is to open up the loop at one junction point and calculate voltage across the break: Starting with the right winding (120 V120^{o}) and progressing counterclockwise, our KVL equation looks like this: Sure enough, there will be zero voltage across the break, telling us that no current will circulate within the triangular loop of windings when that connection is made complete. Having established that a Δconnected threephase voltage source will not burn itself to a crisp due to circulating currents, we turn to its practical use as a source of power in threephase circuits. Because each pair of line conductors is connected directly across a single winding in a Δ circuit, the line voltage will be equal to the phase voltage. Conversely, because each line conductor attaches at a node between two windings, the line current will be the vector sum of the two joining phase currents. Not surprisingly, the resulting equations for a Δ configuration are as follows: Let's see how this works in an example circuit: With each load resistance receiving 120 volts from its respective phase winding at the source, the current in each phase of this circuit will be 83.33 amps: So, the each line current in this threephase power system is equal to 144.34 amps, substantially more than the line currents in the Yconnected system we looked at earlier. One might wonder if we've lost all the advantages of threephase power here, given the fact that we have such greater conductor currents, necessitating thicker, more costly wire. The answer is no. Although this circuit would require three number 1 gage copper conductors (at 1000 feet of distance between source and load this equates to a little over 750 pounds of copper for the whole system), it is still less than the 1000+ pounds of copper required for a singlephase system delivering the same power (30 kW) at the same voltage (120 volts conductortoconductor). One distinct advantage of a Δconnected system is its lack of a neutral wire. With a Yconnected system, a neutral wire was needed in case one of the phase loads were to fail open (or be turned off), in order to keep the phase voltages at the load from changing. This is not necessary (or even possible!) in a Δconnected circuit. With each load phase element directly connected across a respective source phase winding, the phase voltage will be constant regardless of open failures in the load elements. Perhaps the greatest advantage of the Δconnected source is its fault tolerance. It is possible for one of the windings in a Δconnected threephase source to fail open without affecting load voltage or current! The only consequence of a source winding failing open for a Δconnected source is increased phase current in the remaining windings. Compare this fault tolerance with a Yconnected system suffering an open source winding: With a Δconnected load, two of the resistances suffer reduced voltage while one remains at the original line voltage, 208. A Yconnected load suffers an even worse fate with the same winding failure in a Yconnected source: In this case, two load resistances suffer reduced voltage while the third loses supply voltage completely! For this reason, Δconnected sources are preferred for reliability. However, if dual voltages are needed (e.g. 120/208) or preferred for lower line currents, Yconnected systems are the configuration of choice.


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