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Here, we show a design example when regulating a 5V-10A circuit using a forward converter with an
operating frequency of 150kHz.
☆On-pulse maximum voltage-time product
The E2on the secondary side of the main transformer and the maximum on duty cycle are assumed to
be E2=15[V] and Don=0.4.
ΔφV2=E2×Don/f[V×Sec]=[Wb]
=15×0.4/150000
=40 [μWb]
When using a Mag-amp to also protect against over currents, Δφmag=ΔφV2. Here, we assume that the
mag-amp only regulates voltage and set the incremental increase at the time of no current load as
KV=0.6.
Δφmag=ΔφV2×KV=40×0.6=24 [μWb]
☆Choice of core size
The wire winding coefficient, Kf, is the coefficient that it is possible to wind on the inside of a toroidal
core. Usually, Kf=0.4 is used. The current density J is usually set as J=5~10[A/mm2]. Here, we assume
J=8[A/mm2].
If the mag-amp's maximum operating temperature is assumed to be 120℃, we assume that the flux
density of the core decreases to 80%. We also allow flux design space to be 70%.
φ
C・AW ≧Δφmag×Io/(Kf×J)/Kt
≧24×10/(0.4×8)/(0.8×0.7)
≧133.9 [μWb・mm2]
From the standard specification table, MT12X8X4.5W is chosen.
☆Number of wire winding
N≧Δφmag/φCmin/Kt [turn]
≧24/6.31/(0.8×0.7)=6.8
=7 [turn]
☆Wire diameter
When the wire diameter is over φ1.0mm, there is difficulty in the actual wire winding of the toroidal cores.
Therefore, when the output current Io is over 5[A], parallel winding is used. Here, since Io=10[A], two
parallel wires are used.
d=2× Io/2/(π×J) [mm]
=2× 10/2/(π×8)=0.89 [mm]
As a result, 2 parallel φ0.9mm wires are wound.
☆Results of design (Operating Frequency 150kHz, 5V-10A, Voltage Regulation)
MT12X8X4.5W, φ0.9mm, 2 parallel windings, 7[turn]
Please always confirm operation on the actual circuit after design. Since the mag-amp is a passive part,
it becomes susceptible to effects from the waves of the transformer, and actual operating tests are
necessary.
Examples of the Design
Evaluation of the Mag-Amp Circuit Unit
Evaluation of the Mag-Amp Circuit Unit
Note) Operating flux is influenced by the main transformer of the circuit, and the value shown in the table is not necessarily applied as it is.
Design Example ( Forward Converter, 150kHz operating)
Voltage Control(at Kv=0.6)
3.3V
5V
12V
15V
24V
MT12S115
MT12S115
MT15S125
MT15S125
MT18S130
MT12S208
MT12S208
MT15S214
MT18S222
MT18S222
Current 15A
(φ0.9mm×3p.)
MT12 : 5turn
MT15 : 6turn
MT18S311
MT18 :14turn
MT21 :19turn
Over Current Protection (at E2×DON =1.2Vo)
MT12S115
MT12S115
MT15S125
MT18S130
MT21S134
10A
(φ0.9mm×2p.)
MT15:7turn
MT16:6turn
MT21:16turn
MT21:20turn
MS26:18turn
MT12S208
MT15S214
MT18S222
MT21S222
MT21:32turn
6A
(φ1.0mm)
10A
(φ0.9mm×2p.)
6A
(φ1.0mm)
15A
(φ0.9mm×3p.)
Reference
Reference
Output Current vs. Transformer Voltage
1)At no-Load
Generally, the range of the flux becomes large at no, or small current load. There is a possibility that
the mag-amp may not be able to control the output voltage because there is a shortage of core flux.
This problem occurs because the large range of the flux density causes saturating on the other side
and there is not enough ability to control the voltage-time product. In order to set the allowances for
design, the wire winding for the Mag-amp is reduced and the operating range is confirmed.
However, the core flux necessary at the time of no current load is largely influenced by such factors as
the dummy current value. Therefore, when the core flux is large at no current load, such factors as the
dummy current value must be adjusted, taking efficiency into account.
2)At Full-Load
Generally, the mag-amp's flux range becomes small at the full current load. There is the possibility that
output voltage cannot be regulated because it is not possible to make the range any smaller. This
problem is called the dead angle.
The allowances for design at full current load are confirmed by increasing the number of wire windings.
However, the dead angle value is influenced not only by the core characteristics, but also by the
reverse recovery current of the output diode and leaked currents. Please select output diodes with fast
recovery times. Also, when using SBD (Schottky Barrier Diode), please use one with small current leaks
and stable temperature characteristics.
3)Temperature Rise
The temperature rise from no current load to full current load should be confirmed. Since the upper limit
temperature for continuous use of our mag-amp saturable cores is 120℃, the mag-amp should be
designed so that the sum of the surrounding temperature and core temperature rise does not exceed
120℃. Please measure core temperature rise under the condition of natural air-cooling (Without
cooling fan). Generally, the mag-amp is designed calculating the temperature rise at ΔT=30℃~40℃.
With forward converters, the temperature rise at no current load is especially high. When this occurs,
the wire winding should be increased and the operating flux density reduced. When the temperature
rise is too high at full current load, the wire winding should be reduced and the operating magnetic field
reduced.
4)Output voltage precision
It is necessary to confirm the voltage regulation characteristics (specifications) from no current load
to full current load conditions. When there is a mismatch between the gain of the mag-amp and the
gain of the regulated circuit, the circuit vibrates abnormally. Especially when there are sounds from the
mag-amp circuit, there is a high possibility that the regulated circuit is abnormally vibrating.
5)Protection from Over currents
When protecting for over currents, the range of operating flux for the mag-amp becomes large. Please
set the maximum flux range to be 70% of the core flux, similar to when there is no current load.
V0
Transformer Voltage [ V ]
Output Current [ A ]
Transformer
No load
Mag-Amp controlled
Dead Angle (ΔVd)