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电压降

关于电压降的参考数据和工程信息,用于电气应用。

voltagedrop计算器

概述

电压降发生在电流流过导体电阻时,降低了负载处可用的电压。国家电气规范 (NEC) 建议将分支电路的电压降限制在 3%,总电压降(馈线加分支)限制在 5%。准确的电压降计算有助于选择正确的导体尺寸,并确保设备在其额定电压范围内运行。

关键公式

欧姆定律方法:

ΔV=I×R\Delta V = I \times R

其中导体的电阻为:

R=ρ×2LAR = \frac{\rho \times 2L}{A}

系数 2 考虑了单相电路中的供电和回流两个导体。

圆密尔方法:

ΔV=KPLIA\Delta V = \frac{K \cdot P \cdot L \cdot I}{A}

此形式使用以 Ω·圆密尔/ft 为单位的特定电阻率 K 和以圆密尔为单位的导线面积 A,避免了单独进行电阻率换算。

简化铜公式:

ΔV=fIL\Delta V = f \cdot I \cdot L

其中 f 为下方导体表中预计算的系数(每安培每 1000 ft 的伏特数),I 为以安培为单位的负载电流,L 为以英尺为单位的单向导线长度。

变量

符号说明单位
ΔV电压降V
I负载电流A
R导体电阻Ω
ρ材料电阻率Ω·mm²/m
L单向导体长度ft 或 m
A导体横截面积圆密尔或 mm²
K特定电阻率Ω·圆密尔/ft
P相常数(单相 = 2,三相 = 1.732)
f简化电压降系数V/(A·1000 ft)

特定电阻率(K 值)

4
材料
(Ω·cmil/ft)
(Ω·cmil/ft)
实心铜1112
绞合铜1112
实心铝1820
绞合铝1920

来源: engineeringtoolbox.com

计算器

电压降 — 圆密尔法

单位换算器

电压 Drop 单位 转换器

Source Examples

Example - Voltage Drop: for a single-phase copper circuit, voltage drop is calculated from conductor resistance, current, and one-way length with the return path included by the phase constant. Example - Specific resistivity and Voltage Drop: use the material K value in ohm-circular-mils per foot with conductor area in circular mils to avoid mixing SI and AWG units.

Copper Conductor Voltage Drop Factors

14
简化铜缆电压降系数 f:ΔV = f × I × L(每 1000 英尺)
公制 (mm²)
Single-相 f (V/(A·kft))
Three-相 f (V/(A·kft))
142.080.4760.42
123.310.3130.26
105.260.1960.17
88.370.1250.11
613.30.08330.071
421.20.05380.046
233.60.03230.028
1/053.50.02690.023
2/067.40.02220.02
4/0107.20.01610.014
2501270.01470.013
3001520.01310.011
4002030.01150.009
5002530.01010.009

来源: engineeringtoolbox.com

电压 Drop 系数 vs 导体 Cross-Section

还原的原始源表

以下表格还原自原始来源页面,以保留完整的参考数据。

Copper Conductor - Voltage Drop

19
铜导线 - 电压降
公制 mm2
系数 - f -
系数 - f -
Single-phase3-phase
142.080.4760.42
123.310.3130.26
105.260.1960.17
88.370.1250.11
613.30.08330.071
421.20.05380.046
30.04310.038
233.60.03230.028
142.40.03230.028
1/053.50.02690.023
2/067.40.02220.02
3/0850.0190.016
4/0107.20.01610.014
2500.01470.013
3000.01310.011
3500.01210.011
4000.01150.009
5000.01010.009

来源: engineeringtoolbox.com

工程要点

  • Temperature matters. Conductor resistance rises with temperature. Use the higher K value for circuits operating above 121 °F (49 °C).
  • Parallel conductors. For parallel runs, divide the total current by the number of parallel paths and calculate each path separately.
  • NEC recommendations. The NEC (NFPA 70) suggests a maximum 3% voltage drop on branch circuits and 5% total (feeder plus branch combined).
  • Aluminum conductors. Aluminum has roughly 1.6× the resistivity of copper; the K values and factors above reflect this difference.
  • Conduit and skin effect. At higher frequencies or in ferromagnetic conduit, effective resistance increases. The formulas here assume DC or 60 Hz in non-ferrous raceways.
  • Simplified formula limits. The factor-based method is calibrated for copper at standard building-wire temperatures. For aluminum or elevated-temperature designs, use the circular-mils formula with the appropriate K value.

参考资料