电压降
关于电压降的参考数据和工程信息,用于电气应用。
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:
其中导体的电阻为:
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:
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:
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)
材料 | (Ω·cmil/ft) | (Ω·cmil/ft) |
|---|---|---|
| 实心铜 | 11 | 12 |
| 绞合铜 | 11 | 12 |
| 实心铝 | 18 | 20 |
| 绞合铝 | 19 | 20 |
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
公制 (mm²) | Single-相 f (V/(A·kft)) | Three-相 f (V/(A·kft)) | |
|---|---|---|---|
| 14 | 2.08 | 0.476 | 0.42 |
| 12 | 3.31 | 0.313 | 0.26 |
| 10 | 5.26 | 0.196 | 0.17 |
| 8 | 8.37 | 0.125 | 0.11 |
| 6 | 13.3 | 0.0833 | 0.071 |
| 4 | 21.2 | 0.0538 | 0.046 |
| 2 | 33.6 | 0.0323 | 0.028 |
| 1/0 | 53.5 | 0.0269 | 0.023 |
| 2/0 | 67.4 | 0.0222 | 0.02 |
| 4/0 | 107.2 | 0.0161 | 0.014 |
| 250 | 127 | 0.0147 | 0.013 |
| 300 | 152 | 0.0131 | 0.011 |
| 400 | 203 | 0.0115 | 0.009 |
| 500 | 253 | 0.0101 | 0.009 |
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
公制 mm2 | 系数 - f - | 系数 - f - | |
|---|---|---|---|
| Single-phase | 3-phase | — | — |
| 14 | 2.08 | 0.476 | 0.42 |
| 12 | 3.31 | 0.313 | 0.26 |
| 10 | 5.26 | 0.196 | 0.17 |
| 8 | 8.37 | 0.125 | 0.11 |
| 6 | 13.3 | 0.0833 | 0.071 |
| 4 | 21.2 | 0.0538 | 0.046 |
| 3 | — | 0.0431 | 0.038 |
| 2 | 33.6 | 0.0323 | 0.028 |
| 1 | 42.4 | 0.0323 | 0.028 |
| 1/0 | 53.5 | 0.0269 | 0.023 |
| 2/0 | 67.4 | 0.0222 | 0.02 |
| 3/0 | 85 | 0.019 | 0.016 |
| 4/0 | 107.2 | 0.0161 | 0.014 |
| 250 | — | 0.0147 | 0.013 |
| 300 | — | 0.0131 | 0.011 |
| 350 | — | 0.0121 | 0.011 |
| 400 | — | 0.0115 | 0.009 |
| 500 | — | 0.0101 | 0.009 |
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.