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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Dynamic Characterization of NonlinearDynamic Characterization of Nonlinear
Magnets by Modeling and Measuring Magnets by Modeling and Measuring
Magnetic Field Phase SpectrumMagnetic Field Phase Spectrum
Pasquale Arpaia(1), Alessandro Masi(2), Giovanni Spiezia(2), Antonio Zanesco(1)
(1) Università del Sannio, Dipartimento di Ingegneria, Italy(2) CERN, AT-MTM Group, Switzerland
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
State of the artState of the art
investigation of magnet macroscopic
behavior in industrial applications
• New digital measurement systems to determine magnetic characteristics
• Development of adequate nonlinear models for transfer functions when imposing a flux for generating currents
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Measurement method: basic ideasMeasurement method: basic ideas
Analytic relationship between dynamic hysteresis and Analytic relationship between dynamic hysteresis and current phase spectrumcurrent phase spectrum
Decomposition of nonlinear material behavior in a Decomposition of nonlinear material behavior in a hysteretic component and a non-hysteretic componenthysteretic component and a non-hysteretic component
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Relationship between hysteresis Relationship between hysteresis
and current phase spectrumand current phase spectrum
k
ii tiNItENIttNI
210 )sin()sin()cos()(
hn
ii tiNINItNI
10 )cos()(
Non-hysteretic behavior Symmetrical hysteretic behavior
Asymmetrical hysteretic behavior
hii ni ...1,2
,2
)()()cos()(1
0 i
n
ii tioscNINItNItt
h
ii = i=1…nk
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Material non linearity Material non linearity
decompositiondecomposition
Asymmetrical hymmetrical hysteretic characteristic
2
)()()(
NINI
NI c
Common-mode component
2
)()()(
NINI
NI d
Differential component
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Dynamic model of hysteretic Dynamic model of hysteretic
materialmaterial
tNItNItNI oe
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Characterization of the measurement Characterization of the measurement
methodmethod
NI(t)
nh
Measurement uncertainty
Noise
)(ˆ),(ˆ dc ININ
Model estimate
MEASUREMENT METHOD
rms[NI-NI]^
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Simulation resultsSimulation results
rms of the model error in estimating NI for an added white noise
Sigma=0.0010Sigma=0.0008Sigma=0.0005
Sigma=0.0003
Sigma=0.0001
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Simulation resultsSimulation results
Sigma=0.001
Sigma=0.0008Sigma=0.0005
Sigma=0.0003
Sigma=0.0001
rms of the model error in estimating NI for an added LF noise
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Simulation resultsSimulation results
Sigma=0.001
Sigma=0.0008Sigma=0.0005
Sigma=0.0003
Sigma=0.0001
rms of the model error in estimating NI for an added HF noise
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Comparison with classical algorithmComparison with classical algorithm
Comparison between polynomial interpolation and proposed method in case of white noise
Classical method
Proposed method
nh= 15
n = 30
Noise Standard Deviation
Classical method
Proposed method
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Comparison with classical Comparison with classical
algorithmalgorithmComparison between polynomial interpolation and proposed
method in case of LF noise
Noise Standard Deviation
Classical method
Proposed methodClassical method
Proposed method
nh= 15
n = 30
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Comparison with classical algorithmComparison with classical algorithm
Comparison between polynomial interpolation and proposed method in case of HF noise
Classical method
Proposed method
nh= 15
n = 30
Classical method
Proposed method
Noise Standard Deviation
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Experimental resultsExperimental results
Lab measurement station
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
Method application to an actual Method application to an actual
casecase
Ferrite (Mn-Zn)Ferrite (Mn-Zn)
FrequencyFrequency 200 Hz 200 Hz
Maximum flux densityMaximum flux density
nnhh= 15= 15
ffcc = 25.6 kHz = 25.6 kHz
f=25 Hzf=25 Hz
nncc= 1024= 1024
Measurement conditions
Bmax= 0.08 T
Bmax= 0.17 T
Bmax= 0.28 T
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
ResultsResults
Proposed method performance for Bmax= 0.08T
Induzione magnetica B (T)
Cam
po
mag
net
ico
H
(A/m
)
Experimental points
Proposed method
Magnetic flux density - B(T)
Mag
net
ic F
ield
- H
Mag
net
ic F
ield
– H
(A
/m)
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
ResultsResults
Proposed method performances for Bmax= 0.17T
Induzione magnetica B(T)
Cam
po
mag
net
ico
H
(A/m
)
Experimental points
Proposed method
Magnetic flux density - B(T)
Mag
net
ic F
ield
– H
(A
/m)
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
ResultsResults
Proposed method performances for Bmax= 0.28TC
amp
o m
agn
etic
o H
(A
/m)
Experimental points
Proposed method
Mag
net
ic F
ield
– H
(A
/m)
Magnetic flux density - B(T)
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IMMW 14 - 14IMMW 14 - 14thth International Magnetic Measurement International Magnetic Measurement WorkshopWorkshop26-29 September 2005, Geneva, Switzerland26-29 September 2005, Geneva, Switzerland
ConclusionsConclusions
o Method to characterize magnet Method to characterize magnet dynamic behavior by modeling and dynamic behavior by modeling and measuring current phase spectrum measuring current phase spectrum
o Preliminary validation on digital Preliminary validation on digital signals affected by different noisessignals affected by different noises
o Comparison in simulation with results Comparison in simulation with results obtained by a classical estimation obtained by a classical estimation methodmethod
o Experimental verification by a lab Experimental verification by a lab measurement station measurement station
o Satisfactory results Satisfactory results Good alternative at Good alternative at classical methods suitable for DSP implementationclassical methods suitable for DSP implementation