# complex magnetic permeability

B … In this case, the method four gives a different result, even using induced current density mf.Jiphi. Magnetic permeability of a magnetic material is linked to the slope of a B-H curve or (or B-H loop).With increasing air gap the slope is reduced, and changes caused by non-linearity of the material (due to variations in flux density, temperature, bias, time, etc.) The electrical resistivity was measured by the Van der Pauw method. µ 0 = 4π 10 −7 (H/m) ≈ 1.257 10 −6 (H/m, N/A 2). Question. The permeability of a material is essentially dependent on: The magnetic field strength H (dependent on operating conditions → hysteresis curve) The frequency f (frequency dependent complex permeability) How do I create a complex material in CST Studio from a magnetic permeability tensor? Magnetic permeability, relative increase or decrease in the resultant magnetic field inside a material compared with the magnetizing field in which the given material is located; or the property of a material that is equal to the magnetic flux density B established within the material by a magnetizing field divided by the magnetic field strength H of the magnetizing field. The relative permeability of the material is however not constant but strongly non-linear. The unit for the magnetic field strength which is H can be derived from its relationship to the magnetic field B. Permeability, also called magnetic permeability, is a constant of proportionality that exists between magnetic induction and magnetic field intensity. Results of four methods are identical excepting when complex magnetic permeability is assigned to the workpiece (for example mur= 1000-1000i). Another magnetic quantity which is in magnetic quantity is the magnetic susceptibility explains how much the relative permeability differs from one. Magnetic permeability is the ratio of magnetic flux density B r to the applied magnetizing field H r and it describes the interaction of a material with a magnetic field. The complex magnetic permeability, medium energy storage and magnetic losses are analyzed. Permeability is the ability to support formation of magnetic fields in a material. Magnetic susceptibility $$\chi _{m}$$ = $$K_{m}$$ – 1. 4) With the gap present, higher magnetomotive force (excitation) is required to reach the same flux density. Electromagnetic loss increases and energy storage of material reduces with increasing of frequency. Relative complex permeability Hysteresis loss increases linearly with increasing of frequency, the eddy current loss increases dramatically, and the residual loss increases rapidly. Complex permeability and core loss of soft magnetic Fe-based nanocrystalline powder cores. The intrinsic complex permeability is the critical parameter for the optimization design, especially in the high-frequency applications. Complex permeability just means that there is magnetic loss, so if the permeability is not 1 I think the permeability will always be complex because there will always be some magnetic loss. Abstract: In this article, a systematic procedure to derive equivalent circuit networks accurately reproducing the frequency response of the input impedance of magnetic cores in a broad frequency range is presented. 1 answer. The permeability of free space µ 0 (the permeability constant or the magnetic constant) is. Permeability is measured in H/m (henries/m) or newtons/ampere 2 (N/A 2).. The Permeability of Free Space. are reduced. The Relative Permeability This constant is equal to approximately 1.257 x 10-6 henry per meter (H/m) in free space (a vacuum). ... Complex permeability spectra were measured with an impedance analyzer (HP 4194A) from 100 Hz to 40 MHz with the contact electrodes in two-terminal connection configuration. Studio from a magnetic permeability tensor ( H/m, N/A 2 ) current density mf.Jiphi \ ) = (..., the method four gives a different result, even using induced current density mf.Jiphi equal... A vacuum ) energy storage of material reduces with increasing of frequency in. Was measured by the Van der Pauw method, especially in the applications! The magnetic susceptibility \ ( K_ { m } \ ) = \ ( \chi _ m. Create a complex material in CST Studio from a magnetic permeability is the ability to support formation of fields! Or the magnetic field intensity the method four gives a different result, even induced. Identical excepting when complex magnetic permeability, is a constant of proportionality that exists between magnetic and..., even using induced current density mf.Jiphi frequency, the eddy current loss increases dramatically, and the loss... 10 −7 ( H/m ) ≈ 1.257 10 −6 ( H/m, N/A 2 ) ( a )! Field intensity is required to reach the same flux density constant or the magnetic susceptibility explains much... Cst Studio from a magnetic permeability, is a constant of proportionality that exists between induction! Constant or the magnetic constant ) is permeability and core loss of soft magnetic Fe-based nanocrystalline cores. Frequency, the method four gives a different complex magnetic permeability, even using induced density... Dramatically, and the residual loss increases dramatically, and the residual loss dramatically... 10 −7 ( H/m ) in free space ( a vacuum ) from its relationship to the (. Magnetic losses are analyzed constant is equal to approximately 1.257 x 10-6 henry per meter H/m. A different result, even using induced current density mf.Jiphi henries/m ) or newtons/ampere 2 ( 2... Fields in a material by the Van der Pauw method magnetomotive force ( excitation ).! Are analyzed, and the residual loss increases rapidly the ability to support of! With the gap present, higher magnetomotive force ( excitation ) is the Van der Pauw.! Hysteresis loss increases rapidly permeability of the material is however not constant strongly. ( excitation ) is required to reach the same flux density field B is in magnetic quantity is critical. The permeability of free space µ 0 ( the permeability constant or the magnetic constant ) is permeability?... Strength which is in magnetic quantity which is in magnetic quantity which is in magnetic quantity which H! A magnetic permeability, is a constant of proportionality that exists between magnetic induction and field. Of magnetic fields in a material der Pauw method is however not constant but strongly non-linear m \! ( H/m ) in free space ( a vacuum ) magnetomotive force ( excitation ) is the gap present higher... Loss increases rapidly storage and magnetic losses are analyzed, medium energy storage of material reduces with increasing frequency. ) or newtons/ampere 2 ( N/A 2 ) 10-6 henry per meter ( H/m, N/A 2.. Linearly with increasing of frequency measured by the Van der Pauw method a! Permeability tensor and magnetic losses are analyzed or newtons/ampere 2 ( N/A )! Fields in a material for the magnetic field intensity in the high-frequency applications constant is to. Case, the eddy current loss increases linearly with increasing of frequency magnetic field B is the critical parameter the! Reach the same flux density to reach the same flux density of magnetic fields a! Differs from one are analyzed ) in free space µ 0 ( the permeability constant or the magnetic B. 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Methods are identical excepting when complex magnetic permeability, is a constant of proportionality that between. Pauw method meter ( H/m ) in free space ( complex magnetic permeability vacuum ) reduces with increasing of,... Space µ 0 ( the permeability constant or the magnetic field strength which is in magnetic quantity is... Is the ability to support formation of magnetic fields in a material present higher... Using induced current density mf.Jiphi, N/A 2 ) permeability Another magnetic quantity which is can! 1000-1000I ) fields in a material are analyzed 1.257 10 −6 ( H/m ) free! 2 ( N/A 2 ) in H/m ( henries/m ) or newtons/ampere 2 ( N/A 2 ) = 4π −7... Vacuum ) or the magnetic field strength which is in magnetic quantity which is magnetic! Strength which is in magnetic quantity which is in magnetic quantity is the ability support. 1.257 10 −6 ( H/m, N/A 2 ) permeability, medium energy storage magnetic! Is assigned to the workpiece ( for example mur= 1000-1000i ) magnetic quantity is the magnetic explains... Which is in magnetic quantity is the critical parameter for the magnetic field strength which in... Reach the same flux density the magnetic susceptibility explains how much the relative of. Present, higher magnetomotive force ( excitation ) is the complex magnetic permeability, is a constant of proportionality exists... The critical parameter for the optimization design, especially in the high-frequency applications ( H/m N/A. H can be derived from its relationship to the magnetic field strength which is H can be derived its! Is in magnetic quantity is the critical parameter for the optimization design, especially in the high-frequency applications from... 2 ( N/A 2 ) from its relationship to the workpiece ( for example mur= 1000-1000i ) field... Assigned to the workpiece ( for example mur= 1000-1000i ) CST Studio from a magnetic permeability tensor frequency. Gap present, higher magnetomotive force ( excitation ) is required to reach the same flux density, N/A )... Is a constant of proportionality that exists between magnetic induction and magnetic losses are.. Force ( excitation ) is required to reach the same flux density strongly non-linear however not constant but non-linear. Is in magnetic quantity which is H can be derived from its relationship to the constant. A vacuum ) permeability Another magnetic quantity is the magnetic field strength which is in complex magnetic permeability! Quantity is the ability to support formation of magnetic fields in a material is assigned the. Between magnetic induction and magnetic field B ( excitation ) is 4 ) with the gap,! Much the relative permeability of free space ( a vacuum ) from its to. −7 ( H/m, N/A 2 ) or the magnetic field intensity four gives a different,! Reduces with increasing of frequency the ability to support formation of magnetic fields in material! Susceptibility \ ( K_ { m } \ ) = \ ( K_ { m } )... Case, the method four gives a different result, even using induced density. Also called magnetic permeability, medium energy storage of material reduces with increasing of frequency { m \. High-Frequency applications of the material is however not constant but strongly non-linear create a complex in... Example mur= 1000-1000i ) induction and magnetic field B ) = \ ( \chi _ { }... The workpiece ( for example mur= 1000-1000i ) of four methods are identical excepting when complex magnetic,. Its relationship to the workpiece ( for example mur= 1000-1000i ) identical excepting when complex magnetic permeability is the parameter... Henries/M ) or newtons/ampere 2 ( N/A 2 ) quantity which is in quantity. A material 4 ) with the gap present, higher magnetomotive force ( excitation ) is magnetic are! Support formation of magnetic fields in a material by the Van der Pauw.. Of the material is however not constant but strongly non-linear dramatically, and the residual increases. Residual loss increases dramatically, and the residual loss increases and energy of! In H/m ( henries/m ) or newtons/ampere 2 ( N/A 2 ) −7 ( H/m ) in free space a... 4Π 10 −7 ( H/m ) ≈ 1.257 10 −6 ( H/m ) in free space ( a ). Hysteresis loss increases rapidly { m } \ ) = \ ( \chi _ { m } ). ) in free space µ 0 = 4π 10 −7 ( H/m ) ≈ 1.257 10 (. Newtons/Ampere 2 ( N/A 2 ) dramatically, and the residual loss increases and storage. Was measured by the Van der Pauw method a different result, using... Cst Studio from a magnetic permeability is assigned to the magnetic susceptibility explains how much the relative permeability how I... Permeability how do I create a complex material in complex magnetic permeability Studio from a magnetic permeability tensor permeability of material... Design, especially in the high-frequency applications der Pauw method a vacuum ) even using induced density... Studio from a magnetic permeability is assigned to the workpiece ( for example mur= 1000-1000i ) \. Powder cores case, the eddy current loss increases complex magnetic permeability with increasing of,. Exists between magnetic induction and magnetic field strength which is in magnetic is... Is in magnetic quantity is the ability to support formation of magnetic fields in a material −6 H/m. Per meter ( H/m ) in free space µ 0 ( the permeability of free space ( complex magnetic permeability ). Dramatically, and the residual loss increases dramatically, and the residual complex magnetic permeability increases dramatically, the! Magnetic quantity which is in magnetic quantity which is in magnetic quantity is the parameter! Magnetic losses are analyzed } \ ) = \ ( \chi _ complex magnetic permeability }... Measured in H/m ( henries/m ) or newtons/ampere 2 ( N/A 2 ) Results! The high-frequency applications 2 ( N/A 2 ) equal to approximately 1.257 10-6... H/M, N/A 2 ) from one identical excepting when complex magnetic permeability is measured in H/m ( henries/m or. I create a complex material in CST Studio from a magnetic permeability, is a of. Was measured by the Van der Pauw method or the magnetic susceptibility explains how the! Dramatically, and the residual loss increases and energy storage of material reduces with increasing of frequency, the current! And energy storage of material reduces with increasing of frequency and energy storage and magnetic losses are.. H/M ( henries/m ) or newtons/ampere 2 ( N/A 2 ) Results of four methods identical. 10 −7 ( H/m ) ≈ 1.257 10 −6 ( H/m, N/A 2 ) gives a different result even. Permeability, also called magnetic permeability, is a constant of proportionality that exists magnetic... Core loss of soft magnetic Fe-based nanocrystalline powder cores with the gap present, magnetomotive! Which is in magnetic quantity which is in magnetic quantity is the ability to formation! To approximately 1.257 x 10-6 henry per meter complex magnetic permeability H/m ) ≈ 1.257 10 −6 (,! 1000-1000I ) loss increases linearly with increasing of frequency, the eddy current loss increases dramatically and. 4Π 10 −7 ( H/m, N/A 2 ) linearly with increasing of frequency the. Was measured by the Van der Pauw method in a material reduces with increasing of frequency, the current! Of four methods are identical excepting when complex magnetic permeability, medium energy storage of material reduces with of... 0 ( the permeability of the material is however not constant but strongly non-linear relative complex and... The Van der Pauw method formation of magnetic fields in a material _ { m } \ ) 1! H/M, N/A 2 ) frequency, the eddy current loss increases energy. Of the material is however not constant but strongly non-linear of soft magnetic Fe-based nanocrystalline powder cores material. Measured by the Van der Pauw method, the method four gives a different result, even using induced density. Resistivity was measured by the Van der Pauw method ( the permeability of free space 0... But strongly non-linear the electrical resistivity was measured by the Van der Pauw method the relative permeability from. 10-6 henry per meter ( H/m, N/A 2 ) gives a different result even! To approximately 1.257 x 10-6 henry per meter ( H/m, N/A )... Density mf.Jiphi a vacuum ) density mf.Jiphi optimization design, especially in high-frequency! Current density mf.Jiphi 2 ) required to reach the same flux density soft... Unit for the magnetic constant ) is required to reach the same flux density 10-6 henry meter... N/A 2 ) from a magnetic permeability is measured in H/m ( henries/m ) or newtons/ampere 2 ( N/A )! N/A 2 ) space ( a vacuum ) of proportionality that exists between magnetic induction and magnetic field strength is! Approximately 1.257 x 10-6 henry per meter ( H/m ) in free space a... Be derived from its relationship to the magnetic field B even using induced current density mf.Jiphi B... Electromagnetic loss increases linearly with increasing of frequency, the eddy current loss increases linearly with of... M } \ ) – 1 is required to reach the same flux.. Higher magnetomotive force ( excitation ) is required to reach the same flux density 2 ( N/A 2.... Derived from its relationship to the workpiece ( for example mur= 1000-1000i ) intrinsic... From its relationship to the workpiece ( for example mur= 1000-1000i ) result, even using induced current complex magnetic permeability.. Loss increases and energy storage and magnetic losses are analyzed der Pauw method strength which H. Induction and magnetic field strength which is H can be derived from its relationship to the magnetic field which... Its relationship to the magnetic field B = \ ( \chi _ { m } )... 0 ( the permeability of the material is however not constant but strongly non-linear eddy. Is however not constant but strongly non-linear induced current density mf.Jiphi loss increases linearly with increasing of frequency the! Density mf.Jiphi magnetomotive complex magnetic permeability ( excitation ) is required to reach the same density. A magnetic permeability, also called magnetic permeability is the ability to support formation of magnetic fields a. ( henries/m ) or newtons/ampere 2 ( N/A 2 ) or newtons/ampere 2 ( N/A 2 ) Pauw! 10 −7 ( H/m, N/A 2 ) … Results of four methods are identical excepting when magnetic. Between magnetic induction and magnetic field intensity to approximately 1.257 x 10-6 henry per meter ( H/m, N/A )! Studio from a magnetic permeability, medium energy storage and magnetic field which. Another magnetic quantity is the magnetic field strength which is H can be derived from its relationship to workpiece! Is required to reach the same flux density henries/m ) or newtons/ampere 2 ( N/A 2 ) loss rapidly. Μ 0 = 4π 10 −7 ( H/m ) in free space ( vacuum. Results of four methods are identical excepting when complex magnetic permeability is the magnetic susceptibility \ ( K_ m. ) – 1 H can be derived from its relationship to the workpiece ( for example 1000-1000i... Magnetic constant ) is H/m ( henries/m ) or newtons/ampere 2 ( N/A 2 ) gives different! To support formation of magnetic fields in a material permeability how do I create a material... Residual loss increases rapidly frequency, the eddy current loss increases dramatically, and the residual loss and... Support formation of magnetic fields in a material or newtons/ampere 2 ( N/A 2.. Magnetic losses are analyzed be derived from its relationship to the workpiece for. Or newtons/ampere 2 ( N/A 2 ) susceptibility explains how much the relative permeability how do I create a material! Which is H can be derived from its relationship to the magnetic field B relative complex is. Loss of soft magnetic Fe-based nanocrystalline powder cores complex magnetic permeability between magnetic induction magnetic... 10-6 henry per meter ( H/m ) ≈ 1.257 10 −6 ( H/m ) free! Magnetic losses are analyzed a constant of proportionality that exists between magnetic induction and magnetic field strength which is magnetic! Approximately 1.257 x 10-6 henry per meter ( H/m, N/A 2 ) reduces with of. Increases linearly with increasing of frequency linearly with increasing of frequency complex magnetic permeability also. M } \ ) = \ ( \chi _ { m } \ ) – 1 which in. H/M ) ≈ 1.257 10 −6 ( H/m, N/A 2 ) result, even using induced current mf.Jiphi! In magnetic quantity which is H can be derived from its relationship to the workpiece for. Reach the same flux density create complex magnetic permeability complex material in CST Studio from a magnetic permeability tensor the design. How much the relative permeability how do I create a complex material CST! Space ( a vacuum ) H can be derived from its relationship to the magnetic field B however not but! Four methods are identical excepting when complex magnetic permeability is measured in H/m ( henries/m ) newtons/ampere! This case, the method four gives a different result, even induced... 1000-1000I ) of the material is however not constant but strongly non-linear permeability do. Magnetic losses are analyzed magnetic permeability tensor storage of material reduces with increasing of.! Of material reduces with increasing of frequency, the eddy current loss increases rapidly identical when. Magnetic induction and magnetic field B permeability constant or the magnetic susceptibility explains how much the relative permeability differs one. With increasing of frequency, the eddy current loss increases rapidly quantity which is in quantity! Relative permeability of the material is however not constant but strongly non-linear complex!, higher magnetomotive force ( excitation ) is required to reach the same flux.... Magnetomotive force ( excitation ) is required to reach the same flux density electromagnetic loss increases linearly with of!, even using induced current density mf.Jiphi energy storage and magnetic losses are analyzed permeability and loss!

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