Lighting systems, and systems for determining periodic values of a phase angle of a waveform power input
View Patent ↗System for determining periodic values of phase angle Φ of waveform power input including voltage detector for detecting periodic values of average voltage of waveform power input and detecting corresponding periodic values of peak voltage of waveform power input. System also includes phase angle Φ detector in signal communication for receiving periodic values of average voltage and peak voltage from voltage detector. Phase angle Φ detector also detects periodic values each being ratio of one of periodic values of average voltage divided by corresponding periodic value of peak voltage, or being ratio of peak voltage divided by average voltage; and determines periodic values of phase angle Φ of waveform power input corresponding to periodic values of ratio. Lighting systems.
1. A system for determining periodic values of a phase angle (Φ) of a waveform power input, comprising:
a voltage detector for receiving a phase-cut waveform power input, the voltage detector being configured for generating a plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input and for generating a corresponding plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input; and
a phase angle (Φ) detector being in signal communication for receiving the periodic values of the average voltage (V-ave) and the peak voltage (V-peak) from the voltage detector and being configured for: generating a plurality of periodic values each being a ratio (“V-ap”) of one of the plurality of periodic values of the average voltage (V-ave) divided by the corresponding one of the plurality of periodic values of the peak voltage (V-peak); and determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-ap).
2. The system of claim 1 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
3. The system of claim 1 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a half-waveform pulsating direct power input.
4. The system of claim 3 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
5. The system of claim 1 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
6. The system of claim 3 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-ap) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
7. The system of claim 6 , wherein the phase angle (Φ) detector is configured for pairing each one of the plurality of generated periodic values of the ratio (V-ap) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-ap) by using a lookup table of the plurality of calculated periodic values for the ratio (V-ap) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 1 and 2.
8. The system of claim 3 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by: iteratively determining a plurality of calculated periodic values for the ratio (V-ap) according to the following Formulas 1 and 2 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-ap):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
9. The system of claim 1 , wherein the voltage detector includes a current sensor for converting the phase-cut waveform power input into a voltage.
10. A lighting system, comprising:
a dimmer being configured for performing a phase-cutting operation on a waveform power input, forming a phase-cut waveform power input;
a power transmission circuit being in electrical communication with the dimmer and configured for being placed in electrical communication with a light emitter, the power transmission circuit being configured for receiving a power control signal for controlled transmission of the phase-cut waveform power input to the light emitter;
a voltage detector for receiving the phase-cut waveform power input, the voltage detector being configured for generating a plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input and for generating a corresponding plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input; and
a phase angle (Φ) detector being in signal communication for receiving the periodic values of the average voltage (V-ave) and the peak voltage (V-peak) from the voltage detector, and being configured for: generating a plurality of periodic values each being a ratio (“V-ap”) of one of the plurality of periodic values of the average voltage (V-ave) divided by the corresponding one of the plurality of periodic values of the peak voltage (V-peak); and determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-ap); and
a power control circuit being configured: for utilizing the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input in generating the power control signal; and for sending the power control signal to the power transmission circuit.
11. The system of claim 10 , wherein the dimmer is configured for performing either a leading edge phase cut operation or a trailing edge phase cut operation on the waveform power input; and wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as respectively being either a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
12. The system of claim 10 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a half-waveform pulsating direct power input.
13. The system of claim 12 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
14. The system of claim 10 , including a full-wave rectifier being in electrical communication with the dimmer and with the power transmission circuit.
15. The system of claim 10 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
16. The system of claim 10 , further including a light emitter.
17. The system of claim 10 , wherein the power transmission circuit includes a switched mode power supply, a resonant converter, or a linear regulator.
18. The system of claim 12 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-ap) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
19. The system of claim 18 , wherein the phase angle (Φ) detector is configured for pairing each one of the plurality of generated periodic values of the ratio (V-ap) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-ap) by using a lookup table of the plurality of calculated periodic values for the ratio (V-ap) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 1 and 2.
20. The system of claim 12 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by: iteratively determining a plurality of calculated periodic values for the ratio (V-ap) according to the following Formulas 1 and 2 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-ap):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
21. A system for determining periodic values of a phase angle (Φ) of a waveform power input, comprising:
a voltage detector for receiving a phase-cut waveform power input, the voltage detector being configured for generating a plurality of periodic values of a peak voltage (“V-peak”) of the waveform power input being provided as a phase-cut waveform power input and for generating a corresponding plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input; and
a phase angle (Φ) detector being in signal communication for receiving the periodic values of the average voltage (V-ave) and the peak voltage (V-peak) from the voltage detector, and being configured for: generating a plurality of periodic values each being a ratio (“V-pa”) of one of the plurality of periodic values of the peak voltage (V-peak) divided by the corresponding one of the plurality of periodic values of the average voltage (V-ave); and determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-pa).
22. The system of claim 21 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
23. The system of claim 21 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a half-waveform pulsating direct power input.
24. The system of claim 23 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
25. The system of claim 21 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
26. The system of claim 23 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-pa) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
27. The system of claim 26 , wherein the phase angle Mangle (Φ) detector is configured for pairing each one of the plurality of generated periodic values of the ratio (V-pa) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-pa) by using a lookup table of the plurality of calculated periodic values for the ratio (V-pa) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 3 and 4.
28. The system of claim 23 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by: iteratively determining a plurality of calculated periodic values for the ratio (V-pa) according to the following Formulas 3 and 4 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-pa):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
29. The system of claim 21 , wherein the voltage detector includes a current sensor for converting the phase-cut waveform power input into a voltage.
30. A lighting system, comprising:
a dimmer being configured for performing a phase-cutting operation on a waveform power input, forming a phase-cut waveform power input;
a power transmission circuit being in electrical communication with the dimmer and configured for being placed in electrical communication with a light emitter, the power transmission circuit being configured for receiving a power control signal for controlled transmission of the phase-cut waveform power input to the light emitter;
a voltage detector for receiving the phase-cut waveform power input, the voltage detector being configured for generating a plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input and for generating a corresponding plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input; and
a phase angle (Φ) detector being in signal communication for receiving the periodic values of the average voltage (V-ave) and the peak voltage (V-peak) from the voltage detector, and being configured for: generating a plurality of periodic values each being a ratio (“V-pa”) of one of the plurality of periodic values of the peak voltage (V-peak) divided by the corresponding one of the plurality of periodic values of the average voltage (V-ave); and determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-pa); and
a power control circuit being configured: for utilizing the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input in generating the power control signal; and for sending the power control signal to the power transmission circuit.
31. The system of claim 30 , wherein the dimmer is configured for performing either a leading edge phase cut operation or a trailing edge phase cut operation on the waveform power input; and wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as respectively being either a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
32. The system of claim 30 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the phase-cut waveform power input as being a half-waveform pulsating direct power input.
33. The system of claim 32 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
34. The system of claim 30 , including a full-wave rectifier being in electrical communication with the dimmer and with the power transmission circuit.
35. The system of claim 30 , wherein the voltage detector is configured for generating the plurality of periodic values of the average voltage (V-ave) and the corresponding plurality of periodic values of the peak voltage (V-peak) with the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
36. The system of claim 30 , further including a light emitter.
37. The system of claim 30 , wherein the power transmission circuit includes a switched mode power supply, a resonant converter, or a linear regulator.
38. The system of claim 32 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-pa) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
39. The system of claim 38 , wherein the phase angle (Φ) detector is configured for pairing each one of the plurality of generated periodic values of the ratio (V-pa) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-pa) by using a lookup table of the plurality of calculated periodic values for the ratio (V-pa) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 3 and 4.
40. The system of claim 32 , wherein the phase angle (Φ) detector is configured for determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input by: iteratively determining a plurality of calculated periodic values for the ratio (V-pa) according to the following Formulas 3 and 4 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-pa):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
41. A process for determining periodic values of a phase angle (Φ) of a waveform power input, comprising:
providing a waveform power input as being a phase-cut waveform power input, and generating a plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input, and generating a corresponding plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input; and
generating a plurality of periodic values each being a ratio (“V-ap”) of one of the plurality of periodic values of the average voltage (V-ave) divided by the corresponding one of the plurality of periodic values of the peak voltage (V-peak); and
determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-ap).
42. The process of claim 41 , wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as being a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
43. The process of claim 41 , wherein the providing the phase-cut waveform power input includes providing the waveform power input as being a half-waveform pulsating direct power input.
44. The process of claim 43 , wherein the providing the waveform power input includes providing the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
45. The process of claim 41 , wherein the providing the waveform power input includes providing the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
46. The process of claim 43 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-ap) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
47. The process of claim 46 , wherein the pairing each one of the plurality of generated periodic values of the ratio (V-ap) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-ap) includes using a lookup table of the plurality of calculated periodic values for the ratio (V-ap) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 1 and 2.
48. The process of claim 43 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes: iteratively determining a plurality of calculated periodic values for the ratio (V-ap) according to the following Formulas 1 and 2 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-ap):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
49. A lighting process, comprising:
providing a waveform power input;
providing a dimmer being configured for performing a phase-cutting operation on the waveform power input to form a phase-cut waveform power input, and providing a power transmission circuit being in electrical communication with the dimmer and with a light emitter, the power transmission circuit being configured for receiving a power control signal for controlled transmission of the phase-cut waveform power input to the light emitter;
generating a plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input and generating a corresponding plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input;
generating a plurality of periodic values each being a ratio (“V-ap”) of one of the plurality of periodic values of the average voltage (V-ave) divided by the corresponding one of the plurality of periodic values of the peak voltage (V-peak);
determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-ap);
utilizing the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input in generating the power control signal; and
sending the power control signal to the power transmission circuit.
50. The process of claim 49 , wherein the providing the dimmer includes providing the dimmer as being configured for performing either a leading edge phase cut operation or a trailing edge phase cut operation on the waveform power input; and wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as respectively being either a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
51. The process of claim 49 , wherein the providing the phase-cut waveform power input includes providing the waveform power input as being a half-waveform pulsating direct power input.
52. The process of claim 51 , wherein the providing the waveform power input includes providing the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
53. The process of claim 49 , wherein the providing the waveform power input includes providing the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
54. The process of claim 51 , wherein the determining the plurality of periodic values of the phase angle Mangle (Φ) of the phase-cut waveform power input includes pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-ap) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
55. The process of claim 54 , wherein the pairing each one of the plurality of generated periodic values of the ratio (V-ap) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-ap) includes using a lookup table of the plurality of calculated periodic values for the ratio (V-ap) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 1 and 2.
56. The process of claim 51 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes: iteratively determining a plurality of calculated periodic values for the ratio (V-ap) according to the following Formulas 1 and 2 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-ap) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-ap):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
<
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
(
sine
Φ
)
Formula
1
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
ap
)
=
1
-
(
cosine
Φ
)
π
.
Formula
2
57. A process for determining periodic values of a phase angle (Φ) of a waveform power input, comprising:
providing a waveform power input as being a phase-cut waveform power input, and generating a plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input, and generating a corresponding plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input; and
generating a plurality of periodic values each being a ratio (“V-pa”) of nail one of the plurality of periodic values of the peak voltage (V-peak) divided by the corresponding one of the plurality of periodic values of the average voltage (V-ave); and
determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-pa).
58. The process of claim 57 , wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as being a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
59. The process of claim 57 , wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as being a half-waveform pulsating direct power input.
60. The process of claim 59 , wherein the providing the waveform power input includes providing the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
61. The process of claim 57 , wherein the providing the waveform power input includes providing the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
62. The process of claim 59 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-pa) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
63. The process of claim 62 , wherein the pairing each one of the plurality of generated periodic values of the ratio (V-pa) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-pa) includes using a lookup table of the plurality of calculated periodic values for the ratio (V-pa) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 3 and 4.
64. The process of claim 59 , wherein the determining the plurality of periodic values of the phase angle (Φ) the phase-cut waveform power input includes: iteratively determining a plurality of calculated periodic values for the ratio (V-pa) according to the following Formulas 3 and 4 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-pa):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
65. A lighting process, comprising:
providing a waveform power input;
providing a dimmer being configured for performing a phase-cutting operation on the waveform power input to form a phase-cut waveform power input, and providing a power transmission circuit being in electrical communication with the dimmer and with a light emitter, the power transmission circuit being configured for receiving a power control signal for controlled transmission of the phase-cut waveform power input to the light emitter;
generating a plurality of periodic values of a peak voltage (“V-peak”) of the phase-cut waveform power input and generating a corresponding plurality of periodic values of an average voltage (“V-ave”) of the phase-cut waveform power input;
generating a plurality of periodic values each being a ratio (“V-pa”) of one of the plurality of periodic values of the peak voltage (V-peak) divided by the corresponding one of the plurality of periodic values of the average voltage (V-ave);
determining a plurality of periodic values of a phase angle (Φ) of the phase-cut waveform power input each corresponding to one of the plurality of periodic values of the ratio (V-pa);
utilizing the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input in generating the power control signal; and
sending the power control signal to the power transmission circuit.
66. The process of claim 65 , wherein the providing the dimmer includes providing the dimmer as being configured for performing either a leading edge phase cut operation or a trailing edge phase cut operation on the waveform power input; and wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as respectively being either a leading edge phase-cut waveform power input or a trailing edge phase-cut waveform power input.
67. The process of claim 65 , wherein the providing the phase-cut waveform power input includes providing the phase-cut waveform power input as being a half-waveform pulsating direct power input.
68. The process of claim 67 , wherein the providing the waveform power input includes providing the half-waveform pulsating direct power input as being rectified from a full-waveform sinusoidal alternating power input.
69. The process of claim 65 , wherein the providing the waveform power input includes providing the waveform power input as being a universal line power input having the peak voltage as being within a range of between about 85 volts (root mean squared “RMS”) and about 320 volts RMS.
70. The process of claim 67 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of a plurality of calculated periodic values for the ratio (V-pa) being determined for a plurality of corresponding periodic values of the phase angle (Φ) according to the following formulas:
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4
71. The process of claim 70 , wherein the pairing each one of the plurality of generated periodic values of the ratio (V-pa) with the closely-matching one of the plurality of calculated periodic values for the ratio (V-pa) includes using a lookup table of the plurality of calculated periodic values for the ratio (V-pa) being determined for the plurality of corresponding periodic values of the phase angle (Φ) according to Formulas 3 and 4.
72. The process of claim 67 , wherein the determining the plurality of periodic values of the phase angle (Φ) of the phase-cut waveform power input includes: iteratively determining a plurality of calculated periodic values for the ratio (V-pa) according to the following Formulas 3 and 4 for a plurality of corresponding periodic values of the phase angle (Φ); and pairing each one of the plurality of generated periodic values of the ratio (V-pa) with a closely-matching one of the plurality of calculated periodic values for the ratio (V-pa):
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
>
0
and
<
90
°
,
(
V
-
pa
)
=
π
(
sine
Φ
)
1
-
(
cosine
Φ
)
Formula
3
for
the
plurality
of
periodic
values
of
the
phase
angle
(
Φ
)
as
being
≥
90
°
,
(
V
-
pa
)
=
π
1
-
(
cosine
Φ
)
.
Formula
4