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Dimming Ballast Design
The resulting operating frequency during pre-
heat is given as:
Lamp Requirements
Before selecting component values for the
ballast output stage and the programmable
f ph =
2 I ph
π CV ph
[Hz]
(3)
inputs of the IR21592, the following lamp require-
ments must first be defined:
The resulting operating frequency during igni-
tion is given as:
V DC
Variable
I ph
t ph
Description
Filament pre-heat current
Filament pre-heat time
Units
Arms
s
f ign =
1
2 π
1 +
4
π
V ign
LC
[Hz]
(4)
V ph max
V ign
Maximum lamp pre-heat voltage
Lamp ignition voltage
Vpp
Vpp
The total load current during ignition is given
as:
P 100 %
V 100 %
Lamp power at 100% brightness
Lamp voltage at 100% brightness
W
Vpp
I ign = f ign CV ign 2 π
[App] (5)
P 1 %
V 1 %
Lamp power at 1% brightness
Lamp voltage at 1% brightness
W
Vpp
The operating frequency [Hz] at maximum lamp
power is given as:
32 P 100 %
C 2 V 100 %
+ ?
32 P 100 % ?
2
C 2 V 100 % ? ?
1 ? ? ?
? ?
I Cath min
Minimum cathode heating current
Table I, Typical lamp requirements
Arms
f 100 %
=
1
2 π
1
LC
?
2
4
? 1
? ? LC
?
2
4 ? ? 4
? 4 V DC
? V 100 % π
L 2 C 2
?
?
2
(6)
Ballast Output Stage
The cathode heating current at minimum lamp
I Cath 1 % =
The components comprising the output stage
are selected using a set of equations. Different
ballast operating frequencies and their respec-
tive voltages and currents are calculated. The
power is given as:
V 1 % f 1 % π C
2
(7)
inductor and capacitor values are obtained us-
ing equations (2) through (7). The results of
these equations reveal the location of each
operating frequency and the corresponding volt-
ages and currents. For a given L, C, DC bus
voltage, and pre-heat current, the resulting volt-
Design Constraints
The inductor and capacitor values should be
iterated until the following design constraints
have been fulfilled (Table II).
age over the lamp during pre-heat is given as:
Design Constraint
V ph < V ph max
Reason
Ignition during pre-heat
? V
?
? π ?
I ph ? DC [Vpp]
2
V ph = ? DC ? +
8 L 2 V
C π
(2)
f ph ? f ign > 5 kHz
I ign < I ign max
I Cath 1 % ≥ I Cath min
Production tolerances
Inductor saturation
Lamp extinguishing during
dimming
Table II, Ballast design constraints
8
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