ENEE473 Lab 9 Report

# ENEE473 Lab 9 Report - Scott R Smith ENEE473 Lab 9...

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Scott R. Smith ENEE473 Lab 9: Three-Phase Synchronous Machine (Equivalent Circuit Parameters) April 13, 2007 Purpose: As with the three-phase induction machine, the three-phase synchronous machine (SM) has an equivalent circuit that gives us the tools to predict the way the device will react. The three-phase SM equivalent circuit is shown below in figure 1. s I ˆ f I s R s X s V ˆ + _ L Z f V s ε ˆ Figure 1 It can be seen from the KVL that (1) s s s s s s V I jX I R ˆ ˆ ˆ ˆ + + = where (2) l s m s s X X X + = Rearranging equation (1) and substituting in equation (2), ( ) s s m s s l s s s V I jX I jX R ˆ ˆ ˆ ˆ + + + = (3) Since the leakages are very small the following approximation can be made. m s l s X X << (4) Therefore, (5) s s m s s s s V I jX I R ˆ ˆ ˆ ˆ + + From the rules of phasors, () ( ) () 2 2 2 s s m s s s s V I X I R + + (6) Rearranging equation (6), () ( ) ( ) 2 2 2 s m s s s s s I X I R V (7) By using the data from the open circuit and short circuit tests, X s can be determined. m s s sc oc X X I V Z = = (8)

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Devices and Instrumentation: Resistor Banks – Each bank of resistors is made up of ten individual resistors that can be connected together using single pole double throw switches. By systematically setting the switches it is possible to create many resistance values by combining series and parallel branches in one bank. Each resistor has a power dissipation rating of 100 W and a resistance value of 250 . The power dissipation capacity can be increased by using parallel branches of resistors to achieve the same value as a series connection would. Wattmeter – The wattmeter is a three-terminal device where two terminals are connected in-line with the circuit to measure current and the third terminal measures voltage of the in-line voltage relative to the connected node. There are two wattmeters at the lab station. Using both of them, three-phase power can be measured. Three-Phase Synchronous Machine
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ENEE473 Lab 9 Report - Scott R Smith ENEE473 Lab 9...

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