什么是极对数 p？如何根据极数填写？

极对数 p 是磁极对数。例如，4极电机的极对数 p 为 2，2极电机的极对数 p 为 1。

额定转速可以等于或大于同步转速吗？

不可以。异步电动机的额定转速必须小于同步转速 n_s（即 60f/p），否则转差率将小于或等于零。

如果没有最大转矩的具体数值，该如何计算？

可以留空最大转矩，直接使用过载倍数 λ（通常在 2.0 到 3.0 之间），计算器会根据过载倍数与额定转矩自动推导最大转矩。

Kloss 公式适用于所有运行状态吗？

Kloss 公式主要适用于异步电动机在正常运行和中等转差率范围内的机械特性简化计算，未考虑定子电阻时在低转速区可能存在一定简化误差。

曲线采样点数的作用是什么？

采样点数决定了输出的 T-n 曲线数据点的密集程度，可在 11 到 41 点之间配置，点数越多，绘制的曲线越平滑。

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三相异步电动机转矩-转速特性计算器

基于 Kloss 公式构造三相异步电动机的转矩-转速特性曲线：n_s=60f/p，T/T_max=2/(s/s_max+s_max/s)。输出额定转矩、最大（临界）转矩、启动转矩、临界转差率，以及可配置点数的 T-n 采样曲线。

执行

运行这个工具

填写表单、运行工具，并在同一页面查看结果。

预设示例运行

点击示例可自动填充表单；文件类型仍需手动上传。

2 个示例

7.5 kW, 4 极, 50 Hz, n_rated=1440 rpm, λ=2.5 → T_rated≈49.7 Nm, T_max≈124.3 Nm

n_s=1500 rpm，s_rated=0.04，T_max=2.5·49.74=124.34 Nm，s_max=0.1917，T_start≈45.97 Nm。21 点曲线在 s=s_max 附近达峰值。

{"result":"Induction motor T-n characteristic (Kloss). f=50 Hz, p=2 (4 poles), P_rated=7500 W, n_rated=1440 rpm. n_s=1500 rpm, s_rated=0.04. T_rated=49.7359 Nm, T_max=124.3398 Nm (λ=2.5), s_max=0.1917, T_start=45.9713 Nm. Curve sampled at 21 points.","metadata":{"input":{"frequency":50,"poles":2,"powerUnit":"kW","ratedPower":7.5,"ratedSpeed":1440,"overloadFactor":2.5,"curvePoints":21},"result":{"frequency_Hz":50,"polePairs":2,"poleCount":4,"ratedPower_W":7500,"ratedPower_kW":7.5,"synchronousSpeed_rpm":1500,"ratedSpeed_rpm":1440,"ratedSlip":0.04,"ratedTorque_Nm":49.7359,"maxTorque_Nm":124.3398,"overloadFactor":2.5,"breakdownSlip":0.1917,"startingTorque_Nm":45.9713,"curvePoints":21},"curve":[{"slip":0.001,"speed_rpm":1498.5,"torque_Nm":1.2975},{"slip":0.051,"speed_rpm":1423.575,"torque_Nm":61.7468},{"slip":0.1009,"speed_rpm":1348.65,"torque_Nm":102.5104},{"slip":0.1508,"speed_rpm":1273.725,"torque_Nm":120.8601},{"slip":0.2008,"speed_rpm":1198.8,"torque_Nm":124.2047},{"slip":0.2507,"speed_rpm":1123.875,"torque_Nm":119.9799},{"slip":0.3007,"speed_rpm":1048.95,"torque_Nm":112.7111},{"slip":0.3507,"speed_rpm":974.025,"torque_Nm":104.655},{"slip":0.4006,"speed_rpm":899.1,"torque_Nm":96.8128},{"slip":0.4506,"speed_rpm":824.175,"torque_Nm":89.5738},{"slip":0.5005,"speed_rpm":749.25,"torque_Nm":83.0474},{"slip":0.5504,"speed_rpm":674.325,"torque_Nm":77.2222},{"slip":0.6004,"speed_rpm":599.4,"torque_Nm":72.0398},{"slip":0.6503,"speed_rpm":524.475,"torque_Nm":67.4278},{"slip":0.7003,"speed_rpm":449.55,"torque_Nm":63.3143},{"slip":0.7502,"speed_rpm":374.625,"torque_Nm":59.6339},{"slip":0.8002,"speed_rpm":299.7,"torque_Nm":56.3287},{"slip":0.8502,"speed_rpm":224.775,"torque_Nm":53.3493},{"slip":0.9001,"speed_rpm":149.85,"torque_Nm":50.6531},{"slip":0.9501,"speed_rpm":74.925,"torque_Nm":48.204},{"slip":1,"speed_rpm":0,"torque_Nm":45.9713}]}}

15 kW, 4 极, 50 Hz, n_rated=1460 rpm, λ=2.8 → T_rated≈98.1 Nm, T_max≈274.7 Nm

n_s=1500 rpm，s_rated=0.0267，T_max=2.8·98.11=274.71 Nm，s_max=0.1444，T_start≈77.72 Nm。

{"result":"Induction motor T-n characteristic (Kloss). f=50 Hz, p=2 (4 poles), P_rated=15000 W, n_rated=1460 rpm. n_s=1500 rpm, s_rated=0.0267. T_rated=98.1092 Nm, T_max=274.7058 Nm (λ=2.8), s_max=0.1444, T_start=77.7192 Nm. Curve sampled at 21 points.","metadata":{"input":{"frequency":50,"poles":2,"powerUnit":"kW","ratedPower":15,"ratedSpeed":1460,"overloadFactor":2.8,"curvePoints":21},"result":{"frequency_Hz":50,"polePairs":2,"poleCount":4,"ratedPower_W":15000,"ratedPower_kW":15,"synchronousSpeed_rpm":1500,"ratedSpeed_rpm":1460,"ratedSlip":0.0267,"ratedTorque_Nm":98.1092,"maxTorque_Nm":274.7058,"overloadFactor":2.8,"breakdownSlip":0.1444,"startingTorque_Nm":77.7192,"curvePoints":21},"curve":[{"slip":0.001,"speed_rpm":1498.5,"torque_Nm":3.8044},{"slip":0.051,"speed_rpm":1423.575,"torque_Nm":172.3836},{"slip":0.1009,"speed_rpm":1348.65,"torque_Nm":257.9495},{"slip":0.1508,"speed_rpm":1273.725,"torque_Nm":274.4445},{"slip":0.2008,"speed_rpm":1198.8,"torque_Nm":260.4262},{"slip":0.2507,"speed_rpm":1123.875,"torque_Nm":237.6044},{"slip":0.3007,"speed_rpm":1048.95,"torque_Nm":214.4026},{"slip":0.3507,"speed_rpm":974.025,"torque_Nm":193.4545},{"slip":0.4006,"speed_rpm":899.1,"torque_Nm":175.2763},{"slip":0.4506,"speed_rpm":824.175,"torque_Nm":159.6907},{"slip":0.5005,"speed_rpm":749.25,"torque_Nm":146.3389},{"slip":0.5504,"speed_rpm":674.325,"torque_Nm":134.8551},{"slip":0.6004,"speed_rpm":599.4,"torque_Nm":124.9186},{"slip":0.6503,"speed_rpm":524.475,"torque_Nm":116.2634},{"slip":0.7003,"speed_rpm":449.55,"torque_Nm":108.6732},{"slip":0.7502,"speed_rpm":374.625,"torque_Nm":101.9734},{"slip":0.8002,"speed_rpm":299.7,"torque_Nm":96.0229},{"slip":0.8502,"speed_rpm":224.775,"torque_Nm":90.7075},{"slip":0.9001,"speed_rpm":149.85,"torque_Nm":85.9338},{"slip":0.9501,"speed_rpm":74.925,"torque_Nm":81.6255},{"slip":1,"speed_rpm":0,"torque_Nm":77.7192}]}}

输入参数

参数已分组展示，长表单更容易浏览和调整。

9 个选项

参数设置调整格式、范围、数值和模式。9

频率 f (Hz)number必填Supply frequency in Hz.极对数 pnumber必填Number of POLE PAIRS p (a 4-pole motor has p=2).功率单位select可选额定功率number必填Rated shaft output power in the selected unit.额定转速 n_rated (rpm)number必填Rated rotor speed (must be less than synchronous speed n_s).最大转矩 T_max (Nm)number可选Optional. If provided, overload factor is computed from it; otherwise λ is used.过载倍数 λ (T_max/T_rated)number可选Used only when T_max is not given. Typical 2.0–3.0.曲线采样点数number可选Number of points sampled on the T-n curve (11–41).小数位数number可选

结果

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运行工具后，这里会展示文件、文本、结构化数据或流式返回结果。

案例

三相异步电动机转矩-转速特性计算器

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示例

1. 7.5 kW 4极异步电机特性计算

2. 15 kW 4极电机机械特性分析

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