Power Quality in Power Systems and Electrical Machines

CHAPTER 2: SOLUTIONS

CHAPTER 2: SOLUTIONS

2.2.4.3 Application Example 2.3: Application of the Direct-Loss Measurement Technique to a Single-Phase Transformer:

Q:

The direct-loss measurement technique is used to measure losses of a single-phase transformer as illustrated in Fig. E2.3.1 [7].


Figure E2.3.1: Application of direct-loss measurement technique to a single-phase transformer; (a) equivalent circuit, (b) measuring circuit.

Answers

Q:

Solution

Transformer losses are


Rearrangement of terms results in




Note that P loss consists of the sum (not the difference) of two components where ( v 1 ? ) and ( i 1 ? ) can be accurately measured and calibrated. Thus the difference of P in and P out is not computed as for the indirect, conventional method of Section 2.2.4.1. This method can be applied to polyphase systems as discussed in [8, 9, in Chapter 2]. The two available sampling methods series and parallel sampling are addressed in Appendix 1.

2.3.3.1 Application Example 2.4: Sensitivity of K- and F HL-Factors and Derating of 25 kVA Single-Phase Pole Transformer with Respect to the Number and Order of Harmonics:

Q:

The objective of this example is to show that the K-and F HL-factors are a function of the number and order of harmonics considered in their calculation. The harmonic content of a square wave with magnitude 1.00 pu is known.

  1. Develop a Fourier analysis program for any periodic function resulting in the DC offset and the amplitudes of any even and odd...

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