Statistics 简明教程

Statistics - Harmonic Number

谐波数是指前 $n$ 个自然数的倒数的总和。当电力系统的电感性电抗和容性电抗相等时，它代表了一种现象。

Harmonic Number is the sum of the reciprocals of the first n natural numbers. It represents the phenomenon when the inductive reactance and the capacitive reactance of the power system becomes equal.

Formula

其中——

Where −

  1. ${f}$ = Harmonic resonance frequency.

  2. ${L}$ = inductance of the load.

  3. ${C}$ = capacitanc of the load.

Example

求解电容为 $5F$、电感为 $6H$、频率为 $200Hz$ 的电力系统的谐波数。

Calculate the harmonic number of a power system with the capcitance 5F, Inductance 6H and frequency 200Hz.

Solution:

Solution:

此处的电容 $C$ 为 $5F$。电感 $L$ 为 $6H$。频率 $f$ 为 $200Hz$。使用谐波数公式，让我们计算出数字为：

Here capacitance, C is 5F. Inductance, L is 6H. Frequency, f is 200Hz. Using harmonic number formula, let’s compute the number as:

所以谐波数为 $ { 0.0001 }$.

Thus harmonic number is $ { 0.0001 }$.