visualize three phases of electrical system

three-phases.py

import matplotlib.pyplot as plt
import numpy as np
import mplcursors

x = np.linspace(0, 500, 1000)

plt.figure(figsize=(10, 6))

plt.axhline(y=0, color='k', linestyle='-')

line1, = plt.plot(x, 220 * np.sin(x * np.pi / 180), label='220 * sin(x * π / 180)')
line2, = plt.plot(x, 220 * np.sin((x - 120) * np.pi / 180), label='220 * sin((x - 120) * π / 180)')
line3, = plt.plot(x, 220 * np.sin((x - 240) * np.pi / 180), label='220 * sin((x - 240) * π / 180)')

plt.title('Three phases')
plt.xlabel('x')
plt.ylabel('y')

plt.legend()

cursor = mplcursors.cursor(pickables=[line1, line2, line3], hover=True)

@cursor.connect("add")
def on_add(sel):
    x, y = sel.target

    s1 = np.sin(x * np.pi / 180)
    s2 = np.sin((x - 120) * np.pi / 180)
    s3 = np.sin((x - 240) * np.pi / 180)

    if sel.artist == line1:
        label = '220 * sin(x * π / 180)'
        y = 220 * np.sin(x * np.pi / 180)
        s = np.sin(x * np.pi / 180)
        o = f'220 * (s1 - s3) = {220 * (s1 - s3)}'

    elif sel.artist == line2:
        label = '220 * sin((x - 120) * π / 180)'
        y = 220 * np.sin((x - 120) * np.pi / 180)
        s = np.sin((x - 120) * np.pi / 180)
        o = f'220 * (s2 - s1) = {220 * (s2 - s1)}'

    elif sel.artist == line3:
        label = '220 * sin((x - 240) * π / 180)'
        y = 220 * np.sin((x - 240) * np.pi / 180)
        s = np.sin((x - 240) * np.pi / 180)
        o = f'220 * (s3 - s2) = {220 * (s3 - s2)}'

    sel.annotation.set_text(f"{label}\nx={x}\ny={y}\ns={s}\no={o}\nx (radians)={np.deg2rad(x)}")

plt.show()