Single-Phase Power Transformers

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1 Electricity and New Energy Single-Phase Power Transformers Courseware Sample F0

2

3 Safety and Common Symbols Caution, risk of danger Festo Didactic III

4 Safety and Common Symbols IV Festo Didactic

5 Table of Contents Festo Didactic V

6 Table of Contents VI Festo Didactic

7 Table of Contents Festo Didactic VII

8

9 Preface Festo Didactic IX

10 Preface X Festo Didactic

11 About This Manual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esto Didactic XI

12 About This Manual Safety considerations Prerequisite DC Power CircuitsSingle-Phase AC Power Circuits Systems of units XII Festo Didactic

13 To the Instructor Accuracy of measurements Equipment installation Festo Didactic XIII

14

15 Sample Exercise Extracted from the Student Manual and the Instructor Guide

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17 Exercise 2 Transformer Winding Polarity and Interconnection EXERCISE OBJECTIVE DISCUSSION OUTLINE DISCUSSION Introduction to transformer winding polarity Festo Didactic

18 Exercise 2 Transformer Winding Polarity and Interconnection Discussion Transformer winding polarity in schematic diagrams Determining the polarity of transformer windings using an oscilloscope 26 Festo Didactic

19 Exercise 2 Transformer Winding Polarity and Interconnection Discussion Series connection of transformer windings Festo Didactic

20 Exercise 2 Transformer Winding Polarity and Interconnection Discussion 28 Festo Didactic

21 Exercise 2 Transformer Winding Polarity and Interconnection Discussion Determining the polarity of transformer windings using a voltmeter Festo Didactic

22 Exercise 2 Transformer Winding Polarity and Interconnection Discussion Parallel connection of transformer windings 30 Festo Didactic

23 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Outline PROCEDURE OUTLINE PROCEDURE Set up and connections In this section, you will set up the equipment to study the operation of a power transformer. You will observe the polarity markings on the front panel of the transformer module and note which terminals have the same polarity as terminal 1. Festo Didactic

24 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Power Input Power Input Operating Mode Power Supply Computer-Based Instrumentation OK 32 Festo Didactic

25 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Determining transformer winding polarity using an oscilloscope In this section, you will connect a circuit containing a power transformer and set up the equipment to determine the transformer winding polarity using the oscilloscope. You will start the ac power source. You will observe the waveforms of the voltage measured across each transformer winding, and determine the polarity of each transformer terminal. You will then observe in the Phasor Analyzer the phasors of the voltage measured across each transformer winding, and confirm the results you obtained using the Oscilloscope. You will reverse the connections at a voltage input of the Data Acquisition and Control Interface, and observe what happens to the corresponding voltage waveform on the Oscilloscope. You will determine if this inversion has any effect on the winding polarity that is found. a The resistive load in the circuit of Figure 15 is used to improve the appearance of the voltage waveforms. As the resistive load is connected in parallel to the ac power source, it has no effect on the measured voltages. Festo Didactic

26 Exercise 2 Transformer Winding Polarity and Interconnection Procedure FunctionAC Power Source Voltage Frequency AC Power Source Voltage Channel-1 Scale V/div Channel-2 Scale V/div Channel-3 Scale V/div Channel-4 Scale V/div Time Base... 5 ms/div 34 Festo Didactic

27 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Channel-1 Scale V/div Channel-2 Scale V/div Channel-3 Scale V/div Channel-4 Scale V/div Time Base... 5 ms/div AC Power Source Festo Didactic

28 Exercise 2 Transformer Winding Polarity and Interconnection Procedure E3 AC Power Source E3 E3 AC Power Source Series connection of transformer windings In this section, you will calculate the voltages induced across the seriesconnected windings of three different transformer setups. You will then set up each series connection of windings successively, and measure the voltage across each one. You will compare the measured voltages across the series windings with the calculated voltages. 36 Festo Didactic

29 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Festo Didactic

30 Exercise 2 Transformer Winding Polarity and Interconnection Procedure a In all the transformer connections of Figure 16, the capacity of the transformer is limited to 120 VA, because all power is transferred through primary winding 1-2, which is rated 24 V and 5 A. E1 E2 AC Power Source Voltage AC Power Source 38 Festo Didactic

31 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Determining transformer winding polarity using a voltmeter In this section, you will connect a circuit containing a transformer with seriesconnected windings (windings 1-2 and 5-6). You will start the ac power source and measure the voltages across the series-connected windings. Using the measured voltage, you will determine the polarity of the transformer windings. You will compare the winding polarities you obtained using this method with the winding polarities you determined previously in this exercise. You will then connect another circuit containing a transformer with series-connected windings (windings 1-2 and 7-8), and repeat the above manipulations. Festo Didactic

32 Exercise 2 Transformer Winding Polarity and Interconnection Procedure AC Power Source Voltage AC Power Source 40 Festo Didactic

33 Exercise 2 Transformer Winding Polarity and Interconnection Procedure AC Power Source Voltage Festo Didactic

34 Exercise 2 Transformer Winding Polarity and Interconnection Procedure AC Power Source Parallel connection of transformer windings In this section, you will set up a step-up transformer connected to a resistive load. You will start the ac power source and confirm that the transformer secondary voltage is equal to 120 V. You will set the resistance of the resistive load to 120. The secondary current should thus be virtually equal to the nominal current (1 A). You will measure the transformer primary voltage, current, and apparent power, as well as the secondary voltage, current, and apparent power. You will then modify the circuit so that the secondary windings of the transformer are connected in parallel. You will confirm that the secondary voltage, current, and apparent power have not changed, and that the two windings of the secondary are now sharing the secondary current equally. You will set the resistance of the resistive load to 57. The current flowing in each winding of the secondary should thus be virtually equal to the nominal current (1 A). You will measure the transformer primary voltage, current and apparent power, as well as the secondary voltage, current, and apparent power, and analyze the results. 42 Festo Didactic

35 Exercise 2 Transformer Winding Polarity and Interconnection Procedure RangeI1 E1E2 I1 I2 I3 I4 E1 I1 E2I2 a Inputs and will be connected to windings 5-6 and 7-8 respectively later in this section. Voltage AC Power Source Voltage DC Offset Correction Festo Didactic

36 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Voltage AC Power Source 44 Festo Didactic

37 Exercise 2 Transformer Winding Polarity and Interconnection Procedure AC Power Source. Voltage I3 I4 Festo Didactic

38 Exercise 2 Transformer Winding Polarity and Interconnection Procedure Voltage AC Power Source 46 Festo Didactic

39 Exercise 2 Transformer Winding Polarity and Interconnection Conclusion CONCLUSION REVIEW QUESTIONS Festo Didactic

40 Exercise 2 Transformer Winding Polarity and Interconnection Review Questions 48 Festo Didactic

41 Bibliography Introductory Circuit Analysis Electrical Machines, Drives, and Power Systems Festo Didactic

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