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By M. el-Hawary
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Additional info for Electrical Energy Systems
The maximum value of µ occurs at the knee of the B-H characteristic. 18. For practical electromechanical energy conversion devices, a linear approximation to the magnetization curve provides satisfactory answers in the normal region of operation. The main idea is to fit a straight line passing through the origin of the B-H curve that best fits the data points which is drawn and taken to represent the characteristics of the material considered. 17 B-H characteristic for a typical ferromagnetic material.
Properties of magnetic materials are discussed further in the following sections. Presently, we assume that µr is constant. 7 FLUX LINKAGES, INDUCED VOLTAGES, INDUCTANCE, AND ENERGY A change in a magnetic field establishes an electric field that is manifested as an induced voltage. This basic fact is due to Faraday’s experiments and is expressed by Faraday’s law of electromagnetic induction. Consider a toroidal coil with N turns through which a current i flows producing a total flux Φ. Each turn encloses or links the total flux and we also note that the total flux links each of the N turns.
An interpretation of Eq. 13. The tesla can then be defined as the magnetic flux density that exists when a charge q of 1 coulomb, moving normal to the field at a velocity of 1 m/s, experiences a force of 1 newton. 34) simply states that a current element I dl in a magnetic field B will experience a force dF given by the cross product of I dl and B. A pictorial presentation of Eq. 14. The current element I dl cannot exist by itself and must be a part of a complete circuit. 35) are fundamental in the analysis and design of electric motors, as will be seen later.
Electrical Energy Systems by M. el-Hawary