Transmission line voltages like 11kV, 33kV, and 66kV are often chosen based on standardization, efficiency, and ease of design. Here’s why these specific voltage levels are used:
1. **Standardization**: These voltages are standardized to ensure compatibility across equipment, which simplifies manufacturing and maintenance. Using standardized voltages also allows for the easier connection of different power systems.
2. **Voltage Regulation**: The chosen voltages (like 11kV, 33kV, 66kV) are multiples of 11, which historically have been found to optimize the balance between voltage regulation and insulation requirements. The multiplier of 11 is often attributed to a rough approximation where the root mean square (RMS) voltage levels were chosen close to a whole number.
3. **Insulation Requirements**: The insulation requirements and safety margins are easier to manage with these voltage levels. Higher voltages require more robust insulation and greater clearances, so certain multiples, such as 11, help in keeping designs more practical and economical.
4. **Transmission Efficiency**: Higher transmission voltages reduce current for a given power level, which minimizes losses (I²R losses). The choice of these particular levels balances the cost of insulation and transmission efficiency. For long distances, voltages like 33kV and 66kV are used to minimize losses while being practical to manage.
5. **Historical Reasons**: Some of these voltage levels have been historically adopted due to early engineering practices and have been perpetuated due to their effectiveness and the establishment of infrastructure based on these standards.
So, while there isn’t a purely scientific reason behind the specific multiples of 11, it is a combination of historical practices, standardization, and practical engineering considerations that has led to their widespread use.