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The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s, where slip is defined as n- nR S = where n = revolutions per second of rotating stator speed and nR = rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by 15s(1 – s) T = (1 – s)(4s2 – 3s + 4) Figure P7.28 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.

The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s, where slip is defined as n- nR S = where n = revolutions per second of rotating stator speed and nR = rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by 15s(1 – s) T = (1 – s)(4s2 – 3s + 4) Figure P7.28 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Use a numerical method to determine the slip at which the maximum torque occurs.

don't use matlab, do it written and explain so I can understand, thank you so much!

The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s, where slip is defined as n- nR where n = revolutions per second of rotating stator speed and nR = rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by 15s(1 – s) T = (1 – s)(45² – 3s + 4) Figure P7.28 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs. T 4 3 2 1 4 6. 8 10 s FIGURE P7.28 Torque transmitted to an inductor as a function of slip.
Transcribed Image Text:The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s, where slip is defined as n- nR where n = revolutions per second of rotating stator speed and nR = rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by 15s(1 – s) T = (1 – s)(45² – 3s + 4) Figure P7.28 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs. T 4 3 2 1 4 6. 8 10 s FIGURE P7.28 Torque transmitted to an inductor as a function of slip.
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