(b) A single phase transformer has the parameters shown on Table Q3 and is connected to a 230 V and 50 Hz AC supply. Sketch the equivalent circuit and using this determine: (i) The Secondary voltage under Open Circuit (Vsoc) (ii) The Secondary voltage, current and power (W) given a 0.6 N resistive Load. (iii) The efficiency and voltage regulation at this load (c) Through suitable calculations determine whether the size, weight or cost of this transformer could be reduced such that it operated below a maximum flux density of 1.3 T and the current density in both windings was limited to around 5A/mm? for this load. Parameter Value Units Definition RC 1400 Ω Core Loss Resistance XM 400 Ω Magnetising Reactance Equivalent Winding Resistance Equivalent Leakage Inductance Number of turns in primary winding Number of turns in secondary winding Iron Core cross section Primary winding wire diameter Secondary winding wire diameter Rleg Xleq Np Ns 2.4 Ω Ω 100 10 Ac 10,000 3 mm Dwp mm Dwr mm Table Q3

(b) A single phase transformer has the parameters shown on Table Q3 and is connected to a 230 V and 50 Hz AC supply. Sketch the equivalent circuit and using this determine: (i) The Secondary voltage under Open Circuit (Vsoc) (ii) The Secondary voltage, current and power (W) given a 0.6 N resistive Load. (iii) The efficiency and voltage regulation at this load (c) Through suitable calculations determine whether the size, weight or cost of this transformer could be reduced such that it operated below a maximum flux density of 1.3 T and the current density in both windings was limited to around 5A/mm? for this load. Parameter Value Units Definition RC 1400 Ω Core Loss Resistance XM 400 Ω Magnetising Reactance Equivalent Winding Resistance Equivalent Leakage Inductance Number of turns in primary winding Number of turns in secondary winding Iron Core cross section Primary winding wire diameter Secondary winding wire diameter Rleg Xleq Np Ns 2.4 Ω Ω 100 10 Ac 10,000 3 mm Dwp mm Dwr mm Table Q3

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

(b)
A single phase transformer has the parameters shown on Table Q3 and is
connected to a 230 V and 50 Hz AC supply. Sketch the equivalent circuit
and using this determine:
(i)
The Secondary voltage under Open Circuit (Vsoc)
(ii) The Secondary voltage, current and power (W) given a 0.6 N resistive
Load.
(iii)
The efficiency and voltage regulation at this load
(c) Through suitable calculations determine whether the size, weight or cost of
this transformer could be reduced such that it operated below a maximum
flux density of 1.3 T and the current density in both windings was limited to
around 5A/mm2 for this load.
Parameter
Value
Units
Definition
RC
1400
Ω
Core Loss Resistance
XM
400
Ω
Rleq
Xleq
Np
Ns
Magnetising Reactance
Equivalent Winding Resistance
Equivalent Leakage Inductance
Number of turns in primary winding
Number of turns in secondary winding
Iron Core cross section
2.4
Ω
100
10
10,000
3
Ac
mm2
Dwp
Dwr
Primary winding wire diameter
Secondary winding wire diameter
mm
mm
Table Q3

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