Thank you. I believe that a complete example could be good for anyone else who have the same issue:
import pandas as pd
import numpy as np
path = r"C:\Users\fedel\Desktop\excelData\PhD_data.xlsx"
x1 = np.random.randn(100, 2)
df1 = pd.DataFrame(x1)
x2 = np.random.randn(100, 2)
df2 = pd.DataFrame(x2)
writer = pd.ExcelWriter(path, engine = 'xlsxwriter')
df1.to_excel(writer, sheet_name = 'x1')
df2.to_excel(writer, sheet_name = 'x2')
writer.save()
writer.close()
Here I generate an excel file, from my understanding it does not really matter whether it is generated via the "xslxwriter" or the "openpyxl" engine.
When I want to write without loosing the original data then
import pandas as pd
import numpy as np
from openpyxl import load_workbook
path = r"C:\Users\fedel\Desktop\excelData\PhD_data.xlsx"
book = load_workbook(path)
writer = pd.ExcelWriter(path, engine = 'openpyxl')
writer.book = book
x3 = np.random.randn(100, 2)
df3 = pd.DataFrame(x3)
x4 = np.random.randn(100, 2)
df4 = pd.DataFrame(x4)
df3.to_excel(writer, sheet_name = 'x3')
df4.to_excel(writer, sheet_name = 'x4')
writer.save()
writer.close()
this code do the job!