Magnetics Business & Technology - Spring 2015 - (Page 12)
FEATURE ARTICLE
Magnetics Design Tool for Power Applications
By Mauricio Esguerra, Dipl. Phys. * Mauricio Esguerra Consulting on behalf of Hengdian Group DMEGC Magnetics Co., Ltd
Predicting the behavior of soft magnetic cores
under realistic circuit application conditions allows making an optimum material and core selection. This requires visualizing material data of soft
magnetic materials, as well as calculating core parameters such as
inductance, core losses, transferable power and EMI suppression as
well as associated basic winding design parameters. The free app,
Soft Power*, uses proven simulation methods such as hysteresis
modeling for a reliable design, allowing faster time to market while
maximizing engineering resources.
lowing heuristic description introducing the squareness exponents
aL and aU for the lower and upper curves respectively:
(5a)
(5b)
Figure 1 shows one example of a major loop and a calculated
minor loop.
Material Parameters
Both soft ferrites and powder core materials are featured based
on representative ring cores tested according to IEC Standards (IEC
60401-3, IEC 62044-1/2/3). The software shows graphs of relevant
parameters for every material grade:
*
*
*
*
*
*
Permeability µ vs. temperature, flux density and DC-Bias
Complex permeability µ', µ" vs. frequency
Small-signal losses (tand/µ) vs. frequency
Normalized impedance ZN vs. frequency
Power losses Pv vs. frequency/flux density/temperature
Hysteresis loops B(H)
Hysteresis Modeling
In order to accurately simulate high excitation parameters such as
power loss and DC-bias at any given condition, hysteresis modeling is necessary. The use of models such as the Steinmetz power
equation[1] have limited validity in the frequency, flux density and
temperature ranges; extrapolating these limits can result in very
large errors due to the exponential nature of the equation. The hysteresis models based on Hodgdon's differential equation[2] naturally
overcomes these limitations[3]. By regarding the measured major
hysteresis loop as a particular solution to the equation, the upper
and lower branches of a minor loop between the end points (Hm,
Bm) and (HM, BM) can be described as a function of the upper and
lower curves of the major loop:
Figure 1. Major loop for material DMR47 at 80°C. The symmetric minor
loop was calculated for -Bm = BM = 200 mT.
Derived Parameters
The calculation of application relevant quantities is straight forward. Loss energy for a symmetric loop of amplitude BM is obtained by integration and can be approximated for small flux densities as follows:
(6)
(1a)
(1b)
With
The expression for the reversible permeability µrev vs. Bdc contains
two different terms, the first related to losses and the second related to squareness (a= aL=aU):
(7)
and the commutation curve
(4)
Where Hc is the coercivity, µc its permeability and Bs the saturation flux
density. In addition to these parameters the model requires the knowledge of the initial permeability µi, which is also a well-defined quantity.
The measured major loop curves can be parametrized by the fol-
Temperature Dependence
The hysteresis parameters are determined for major loops tested at
different temperatures. In order to allow the software to calculate
related quantities at a given temperature, the five hysteresis model
parameters are fitted as a function of temperature.
* Download from dmegc.de/index.php/de/magnetic-design (requires Java JRE 1.6.0 or higher)
12
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Table of Contents for the Digital Edition of Magnetics Business & Technology - Spring 2015
Editor's Choice
First-Order-Reversal-Curve Analysis of Multi-Phase Ferrite Magnets
Magnetics Design Tool for Power Applications
Magnet Inspection Tool with High Magnetic and Mechanic Accuracy
Research & Development
Electromagnetics
Software & Design
Industry News
Marketplace / Advertising Index
Spontaneous Thoughts: The Patent Challenge
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