Methods and systems for determining resistance of power conductors
Methods of powering a radio that is mounted on a tower of a cellular base station are provided in which a direct current (“DC”) power signal is provided to the radio over a power cable and a voltage level of the output of the power supply is adjusted so as to provide a substantially constant voltage at a first end of the power cable that is remote from the power supply. Related cellular base stations and programmable power supplies are also provided.
1. An apparatus, comprising:
a power supply comprising an output configured to be coupled by power conductors to a direct current (DC) power input of a radio;
wherein the power supply is configured to:
provide, during a time period, a first DC voltage level at the output of the power supply, wherein during the time period a constant DC power level is drawn by the DC power input of the radio through the power conductors;
when providing during the time period the first DC voltage level at the output of the power supply, then measure a first direct current level flowing through the output of the power supply;
provide, during the time period, a second DC voltage level at the output of the power supply;
when providing during the time period the second DC voltage level at the output of the power supply, then measure a second direct current level flowing through the output of the power supply, wherein the second DC voltage level differs from the first DC voltage level; and
determine a resistance of the power conductors using the first DC voltage level, the second DC voltage level, the first direct current level, and the second direct current level.
2. The apparatus of claim 1 , wherein determining the resistance of the power conductors further comprises determining the resistance of the power conductors by a following equation:
R Power Conductors =( V PS2 *I 2 −V PS1 *I 1 )/( I 1 2 +I 2 2 ),
wherein R Power Conductors is the resistance of the power conductors, V PS1 is the first DC voltage level provided at the output of the power supply, I 1 is the first direct current level flowing through the output of the power supply when providing the first DC voltage level at the output of the power supply, V PS2 is the second DC voltage level provided at the output of the power supply, I 2 is the second direct current level flowing through the output of the power supply when providing the second DC voltage level at the output of the power supply.
3. The apparatus of claim 1 , wherein the power supply is further configured to determine the resistance of the power conductors using at least three sets, wherein each set comprises a DC voltage level provided at the output of the power supply and a direct current level flowing through the output of the power supply when providing the DC voltage level at the output of the power supply, wherein each DC voltage level of each set is different.
4. The apparatus of claim 3 , wherein, using the at least three sets, the resistance of the power conductors is determined by a following equation:
R Power Conductors =Σ[( V PSn+1 *I n+1 −V PSn *I n )/( I n+1 2 +I n 2 )]/ X,
wherein R Power Concluders is the resistance of the power conductors, V PSn is a DC voltage level, of an nth set, at the output of the power supply, V PSn+1 is a DC voltage level, of an n+1 set, at the output of the power supply, I n is a direct current level, of the nth set, flowing through the output of the power supply when providing the V PSn at the output of the power supply, I n+1 is a direct current level, of the n+1 set, flowing through the output of the power supply when providing the V PSn+1 at the output of the power supply, X is a total number of sets, and n is an index number used to indicate the DC voltage level or the direct current level of the nth set.
5. The apparatus of claim 1 , further comprising:
measuring a direct current level flowing through the output of the power supply; and
adjusting a DC voltage level at the output of the power supply based at least in part on the resistance of the power conductors and the measured direct current level flowing through the output of the power supply.
6. The apparatus of claim 5 , wherein adjusting the DC voltage level at the output of the power supply comprises setting the DC voltage level at the output of the power supply according to a following equation:
V PS =V Radio +( I*R Power Conductors ),
wherein, V PS is the DC voltage level at the output of the power supply, V Radio is a DC voltage at a DC power input of the radio, I is the direct current flowing through the output of the power supply, and R Power Conductors is the resistance of the power conductors.
7. The apparatus of claim 5 , wherein a DC voltage level at a DC power input of the radio is substantially constant notwithstanding a variation in a level of direct current flowing through the output of the power supply.
8. The apparatus of claim 5 , wherein a DC voltage level at a DC power input of the radio is above a nominal DC input voltage rating of the radio and is less than a maximum DC input voltage level of the radio.
9. The apparatus of claim 8 , wherein a magnitude the nominal DC input voltage rating of the radio is 48V.
10. The apparatus of claim 8 , wherein the DC voltage level at the DC power input of the radio is within four volts of the maximum DC input voltage level of the radio.
11. The apparatus of claim 3 , further comprising:
measuring a direct current level flowing through the output of the power supply; and
adjusting a DC voltage level at the output of the power supply based at least in part on the resistance of the power conductors and the measured direct current level flowing through the output of the power supply.
12. The apparatus of claim 11 , wherein adjusting the DC voltage level at the output of the power supply comprises setting the DC voltage level at the output of the power supply according to a following equation:
V PS =V Radio +( I*R Power Conductors ),
wherein, V PS is the DC voltage level at the output of the power supply, V Radio is a DC voltage at a DC power input of the radio, I is the direct current flowing through the output of the power supply, and R Power Conductors is the resistance of the power conductors.
13. The apparatus of claim 11 , wherein a DC voltage level at a DC power input of the radio is substantially constant notwithstanding a variation in a level of direct current flowing through the output of the power supply.
14. The apparatus of claim 11 , wherein a DC voltage level at a DC power input of the radio is above a recommended DC input voltage level of the radio and is less than a maximum DC input voltage level of the radio.
15. The apparatus of claim 14 , wherein an absolute value of the recommended DC input voltage level of the radio is 48V.
16. The apparatus of claim 14 , wherein the DC voltage level at the DC power input of the radio is within four volts of the maximum DC input voltage level of the radio.
17. A method of determining a resistance of power conductors electrically coupling an output of a power supply to a direct current (DC) power input of a radio, comprising:
providing, during a time period, a first DC voltage level at the output of the power supply, wherein during the time period a constant DC power level is drawn by the DC power input of the radio through the power conductors;
when providing during a time period the first DC voltage level at the output of the power supply, measuring a first direct current level flowing through the output of the power supply;
providing, during the time period, a second DC voltage level at the output of the power supply;
when providing during the time period the first DC voltage level at the output of the power supply, measuring a second direct current level flowing through the output of the power supply, wherein the second DC voltage level differs from the first DC voltage level; and
determining the resistance, of the power conductors coupling the output of the power supply to the DC power input of the radio, using the first DC voltage level, the second DC voltage level, the first direct current level, and the second direct current level.
18. The method of claim 17 , wherein determining the resistance of the power conductors further comprises determining the resistance of the power conductors by a following equation:
R Power Conductors =( V PS2 *I 2 −V PS1 *I 1 )/( I 1 2 +I 2 2 ),
wherein R Power Conductors is the resistance of the power conductors, V PS1 is the first DC voltage level at the output of the power supply, I 1 is the first direct current level flowing through the output of the power supply when providing the first DC voltage level at the output of the power supply, V PS2 is the second DC voltage level at the output of the power supply, I 2 is the second direct current level flowing through the output of the power supply when providing the second DC voltage level at the output of the power supply.
19. The method of claim 17 , further comprising determining the resistance of the power conductors using three or more sets, wherein each set comprises a DC voltage level at the output of the power supply and a direct current level flowing through the output of the power supply when providing the DC voltage level at the output of the power supply, wherein each DC voltage level of each set is different.
20. The method of claim 19 , wherein, using the three or more sets, the resistance is determined by a following equation:
R Power Conductors =Σ[( V PSn+1 *I n+1 −V PSn *I n )/( I n+1 2 +I n 2 )]/ X ; and
wherein X is a total number of sets;
wherein R Power Conductors is the resistance of the power conductors, V PSn is a DC voltage level, of an nth set, at the output of the power supply, V PSn+1 is a DC voltage level, of an n+1 set, at the output of the power supply, I n is a direct current level, of the nth set, flowing through the output of the power supply when providing the V PSn at the output of the power supply, I n+1 is a direct current level, of the n+1 set, flowing through the output of the power supply when providing the V PSn+1 at the output of the power supply, and n is an index number used to indicate the DC voltage or the direct current of the nth set.
21. The method of claim 17 , further comprising:
measuring a direct current level flowing through the output of the power supply; and
adjusting a DC voltage level at the output of the power supply based at least in part on the resistance of the power conductors and the measured direct current level flowing through the output of the power supply.
22. The method of claim 21 , wherein a DC voltage level at the DC power input of the radio is substantially constant notwithstanding a variation in a level of direct current flowing through the output of the power supply.
23. The method of claim 21 , wherein a DC voltage level at the DC power input of the radio is above a nominal DC input voltage level of the radio and is less than a maximum DC input voltage level of the radio.
24. The method of claim 23 , wherein the DC voltage level at the DC power input of the radio is within four volts of the maximum DC input voltage level of the radio.
25. The method of claim 19 , further comprising:
measuring a direct current level flowing through the output of the power supply; and
adjusting a DC voltage level at the output of the power supply based at least in part on the resistance of the power conductors and the measured direct current level flowing through the output of the power supply.
26. The method of claim 25 , wherein a DC voltage level at the DC power input of the radio is substantially constant notwithstanding a variation in a level of direct current flowing through the output of the power supply.
27. The method of claim 25 , wherein a DC voltage level at the DC power input of the radio is above a nominal DC input voltage level of the radio and is less than a maximum DC input voltage level of the radio.
28. The method of claim 27 , wherein the DC voltage level at the DC power input of the radio is within four volts of the maximum DC input voltage level of the radio.