Measurement and Simulation of Vector Hysteresis Characteristics

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1 Measurement and Smulaton of Vector Hsteress Characterstcs Mklós Kuczmann Laborator of Electromagnetc Felds Department of Telecommuncaton Széchen István Unverst Gır, Hungar Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

Telecommuncaton Széchen István Unverst Gır, Hungar Mklós

2 Outlne Rotatonal Sngle Sheet Tester Arrangement Sensors Results Vector Presach model Model descrpton Identfcaton Comparsons Applcaton n Fnte Element Method Fxed pont method Results Conclusons Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

Applcaton n Fnte Element Method Fxed pont method Results Conclusons

3 Block Dagram of the RRSST Sstem RRSST Round shaped Rotatonal Sngle Sheet Tester Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

Constructon of H-sensors 4 bakelte flans 2 2 1 z N H = 810

4 Constructon of H-sensors 4 bakelte flans z N H = 810 H (t ) = H µ0 S H N H x t u(τ ) dτ 0 Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds Lnear extrapolaton d 2 H1 d1 H 2 H ( z = 0) = d 2 d1 1

5 The RRSST Sstem Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

6 Measured Results F 1 ( α, β ) = ( H H ) 2 α αβ Everett functon from concentrc mnor loops 2D splne approxmaton Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

7 Measured Results Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

8 Measured Results Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

9 Inverse Vector Presach Model π 2 n H ( t) = eϕ B{ Bϕ } dϕ H ( t) e B ϕ { B } ϕ π 2 B = B e + B e x Bϕ x = B x cos ϕ + B = 1 snϕ ( cosϕ ) cosϕ sgn( snϕ ) ϕ 1/ w Bϕ = B x sgn + B snϕ H H x = = n = 1 n = 1 H H ϕ ϕ cosϕ snϕ B H = H e + H x ( cos[ ϕ + ψ ]) cos[ ϕ + ψ ] + sgn( sn[ ϕ + ψ ]) sn[ ϕ ψ ] ϕ = B x sgn B + Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds x e

n = 1 H H ϕ ϕ cosϕ snϕ B H = H e + H x ( cos[ ϕ + ψ ]) cos[ ϕ + ψ ] + sgn( sn[ ϕ + ψ ]) sn[ ϕ ψ ]

10 F Inverse Vector Presach Model π 2 n ( α β ) = cosϕ E( α cos ϕ, β cos ϕ) dϕ cosϕ E( α cos ϕ, β cos ϕ ) -π 2 = 1, ϕ measured unknown Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

11 Inverse Vector Presach Model Intalzaton n=14, w=1, ψ=0 o Result: n=14, w=1.0894, ψ=1.3 o F Vector Everett functon π 2 ( α, β ) = cosϕ E( α cos ϕ, β cos ϕ) -π 2 dϕ ψ n Error Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

12 Inverse Vector Presach Model Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

13 Applcaton n FEM Reduced magnetc scalar potental, Φ Polarzaton technque Fxed pont method Inverse vector Presach model 3D Fnte Element Method prsm elements nodes unknown for T unknown for Φ Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

640 prsm elements 27 423 nodes 711 772 unknown for T 0 206 941 unknown for

14 Applcaton n FEM The average B s equal to B n the center. Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

15 Applcaton n FEM The lnear extrapolaton can be used to calculate H at the surface. Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

16 Conclusons, Future Works RRSST Sstem Sensor sstem, calbraton Controllng of flux Input data for the dentfcaton of vector Presach model Inverse vector Presach model Identfcaton technque Frequenc dependence Mnor loops Inserton nto 3D FEM Statc magnetc feld Edd current feld Other nonlnear problems and applcatons Mklós Kuczmann, Ph.D. Széchen István Unverst, Laborator of Electromagnetc Felds

dependence Mnor loops Inserton nto 3D FEM Statc magnetc feld Edd current feld Other nonlnear

Damage detection in composite laminates using coin-tap method

Damage detection in composite laminates using coin-tap method Damage detecton n composte lamnates usng con-tap method S.J. Km Korea Aerospace Research Insttute, 45 Eoeun-Dong, Youseong-Gu, 35-333 Daejeon, Republc of Korea yaeln@kar.re.kr 45 The con-tap test has the