8 www.irf.com
Dimming Ballast Design
Lamp Requirements
Before selecting component values for the
ballast output stage and the programmable
inputs of the IR21592, the following lamp require-
ments must first be defined:
Table I, Typical lamp requirements
Ballast Output Stage
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
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-
age over the lamp during pre-heat is given as:
ππ
DC
ph
DC
ph
V
I
C
L
V
V −+
=
2
2
8
[Vpp] (2)
The resulting operating frequency during pre-
heat is given as:
ph
ph
ph
CV
I
f
π
2
=
[Hz] (3)
The resulting operating frequency during igni-
tion is given as:
LC
V
V
f
ign
DC
ign
π
π
4
1
2
1
+
=
[Hz] (4)
The total load current during ignition is given
as:
IfCV
ign ign ign
= 2
π
[App] (5)
The operating frequency [Hz] at maximum lamp
power is given as:
(6)
The cathode heating current at minimum lamp
power is given as:
2
%1%1
%1
CfV
I
Cath
π
=
(7)
Design Constraints
The inductor and capacitor values should be
iterated until the following design constraints
have been fulfilled (Table II).
Table II, Ballast design constraints
22
2
%100
2
4
%100
2
2
%100
4
%100
2
2
%100
%100
4
1
4
32
1
32
1
2
1
CL
V
V
VC
P
LC
VC
P
LC
f
DC
−
−
−+−=
π
π
Variable Description Units
ph
I
Filament pre-heat current Arms
ph
t
Filament pre-heat time s
max
ph
V
Maximum lamp pre-heat voltage Vpp
ign
V
Lamp ignition voltage Vpp
%100
P
Lamp power at 100% brightness W
%100
V
Lamp voltage at 100% brightness Vpp
%1
P
Lamp power at 1% brightness W
%1
V
Lamp voltage at 1% brightness Vpp
min
Cath
I
Minimum cathode heating current Arms
Design Constraint Reason
VV
ph ph
<
max
Ignition during pre-heat
ff kHz
ph ign
−>5
Production tolerances
II
ign ign
<
max
Inductor saturation
min%1
CathCath
II ≥
Lamp extinguishing during
dimming