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(b) A 120 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.2 2 R2 = 0.002 S X₁ = 0.4 X2=0.004 2 Re = 12.5 k Xm = 2.9 k The transformer is delivering 98.5 kW to a load at 230 V and 0.85 power factor lagging. (i) Draw the cantilever equivalent circuit of the transformer (including component values) referred to the primary (high-voltage) side and in which the shunt branch has been moved to the primary. (ii) In Fig. 1.3, complete the phasor diagram which relates the primary voltage V₁ to the referred secondary voltage V2. (Notes: Ignore the exciting current. The referred secondary voltage V2 is shown in Fig. 1.3 at an assumed phase reference of 0°. Make sure you label all phasors clearly numerical values are not required.) (iii) Calculate the phasor load current 12, referred to the primary. (iv) Calculate the phasor primary voltage V₁ (you may ignore the exciting current). Figure 1.3.

(b) A 120 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.2 2 R2 = 0.002 S X₁ = 0.4 X2=0.004 2 Re = 12.5 k Xm = 2.9 k The transformer is delivering 98.5 kW to a load at 230 V and 0.85 power factor lagging. (i) Draw the cantilever equivalent circuit of the transformer (including component values) referred to the primary (high-voltage) side and in which the shunt branch has been moved to the primary. (ii) In Fig. 1.3, complete the phasor diagram which relates the primary voltage V₁ to the referred secondary voltage V2. (Notes: Ignore the exciting current. The referred secondary voltage V2 is shown in Fig. 1.3 at an assumed phase reference of 0°. Make sure you label all phasors clearly numerical values are not required.) (iii) Calculate the phasor load current 12, referred to the primary. (iv) Calculate the phasor primary voltage V₁ (you may ignore the exciting current). Figure 1.3.

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.9P
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(b) A 120 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.2 2 R2 = 0.002 S X₁ = 0.4 X2=0.004 2 Re = 12.5 k Xm = 2.9 k The transformer is delivering 98.5 kW to a load at 230 V and 0.85 power factor lagging. (i) Draw the cantilever equivalent circuit of the transformer (including component values) referred to the primary (high-voltage) side and in which the shunt branch has been moved to the primary. (ii) In Fig. 1.3, complete the phasor diagram which relates the primary voltage V₁ to the referred secondary voltage V2. (Notes: Ignore the exciting current. The referred secondary voltage V2 is shown in Fig. 1.3 at an assumed phase reference of 0°. Make sure you label all phasors clearly numerical values are not required.) (iii) Calculate the phasor load current 12, referred to the primary. (iv) Calculate the phasor primary voltage V₁ (you may ignore the exciting current). Figure 1.3.
Transcribed Image Text:(b) A 120 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.2 2 R2 = 0.002 S X₁ = 0.4 X2=0.004 2 Re = 12.5 k Xm = 2.9 k The transformer is delivering 98.5 kW to a load at 230 V and 0.85 power factor lagging. (i) Draw the cantilever equivalent circuit of the transformer (including component values) referred to the primary (high-voltage) side and in which the shunt branch has been moved to the primary. (ii) In Fig. 1.3, complete the phasor diagram which relates the primary voltage V₁ to the referred secondary voltage V2. (Notes: Ignore the exciting current. The referred secondary voltage V2 is shown in Fig. 1.3 at an assumed phase reference of 0°. Make sure you label all phasors clearly numerical values are not required.) (iii) Calculate the phasor load current 12, referred to the primary. (iv) Calculate the phasor primary voltage V₁ (you may ignore the exciting current). Figure 1.3.
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