Electric Machinery and Power System Fundamentals
Electric Machinery and Power System Fundamentals
1st Edition
ISBN: 9780072291353
Author: Stephen J. Chapman, Stepehn J. Chapman
Publisher: McGraw-Hill Companies, The
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Chapter 1, Problem 1.8P

A core with three legs is shown in Figure P1-5. Its depth is 5 cm, and there are 100 turns on the leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each of the three legs of the core? What is the flux density in each of the legs? Assume a 5 percent increase in the effective area of the air gap due to fringing effects.

Chapter 1, Problem 1.8P, A core with three legs is shown in Figure P1-5. Its depth is 5 cm, and there are 100 turns on the

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A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. 1-5. 10 cm- 5em 20 em 15 cm 15 cm 15 cm Coe depth - Scm SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a second region, and the right side forms a third region. If we assume that the mean path length of the flux is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
A ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. -10 cm- - 20 cm- 15 cm 400 turns 15 cm 15 cm Core depth 5 cm
A core with three legs is shown in the figure below. Its depth is 5 cm, and there are 400 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of steel having the magnetization curve is also given below. Answer the following questions about this core: 1. What current is required to produce a flux density of 0.5 T in the central leg of the core? 2. What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)? 3. What are the reluctances of the central and right legs of the core under the conditions in part (a)? 4. What are the reluctances of the central and right legs of the core under the conditions in part (b)? 5. What conclusion can you make about reluctances in real magnetic cores?

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