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  • Writer's pictureGary Dinmore

Power Losses in AC Transmission Lines

Understanding and Mitigating Power Losses in AC Transmission Lines: A Path to Efficient Energy Systems.



Introduction

The transmission of electricity from power plants to consumers is made possible by Alternating Current (AC) transmission lines that form a crucial component of our power grid. However, some power is inevitably lost during this transfer process due to various factors. These power losses can be broadly categorized into three main types: resistive, capacitive, and inductive. Resistive losses occur due to the resistance of the conductor material, which causes some amount of power to be converted into heat during transmission. Capacitive losses happen due to the energy stored in the insulating material between the conductors, which leads to a small amount of power loss. Inductive losses occur due to the magnetic fields generated by the current flowing through the transmission lines, which can cause energy to be lost in heat.


Resistive Losses

In an electrical transmission line, resistive losses occur due to the transmission line's metal having a non-zero resistance. These losses arise due to converting some of the electrical energy into heat, leading to a loss of power. Despite the conductors in a transmission line having extremely low resistivity, they are not perfect, and this imperfection is responsible for resistive losses. The amount of resistive loss in a transmission line can be estimated using transmission line equations, which consider various factors such as the length of the line, the diameter of the conductors, and the frequency of the signal being transmitted. These equations can help determine the amount of power lost due to resistive losses and can assist in designing more efficient transmission lines that minimize the amount of power loss.



Capacitive Losses

Capacitive losses occur when energy stored in the electric or magnetic field of a capacitor is lost due to the charging and discharging of the capacitance between the transmission line and the ground. These losses are more prominent in underground cables where the capacitance is high due to the proximity of the cable to the surrounding earth. Capacitive losses are caused by current leakage through the dielectric material that separates the conductors and the ground. This leakage results in energy dissipation, which contributes to heat generation. The amount of energy loss due to capacitive losses is proportional to the signal’s frequency.


Inductive Losses

Inductive losses occur in transmission lines due to the magnetic field created by the current flowing through them. This magnetic field generates an electromotive force (EMF) in the conductor, which opposes the current flow and causes a loss of power. The magnitude of these losses depends on various factors, including the conductor's length and diameter, the current's frequency, and the conductor's material properties. Inductive losses can significantly impact the efficiency and reliability of power transmission systems, and minimizing them is a critical challenge in electrical engineering and power system design.



Impact and Mitigation

The losses incurred during the transmission of electrical power through transmission lines significantly impact our carbon footprint and the overall efficiency of our power systems. Research suggests that between 8-15% of power is lost during the transmission and distribution process in AC transmission systems. This highlights the need for measures to reduce energy losses during transmission, as it helps conserve energy and reduce carbon emissions.


For instance, in 2008, California lost about 19.7 x 10 kWh of electrical energy due to transmission and distribution losses, equivalent to 6.8% of the total electricity used in the state throughout that year. This highlights the need for modernization of the power grid and the adoption of energy-efficient technologies, which can reduce the wastage of electrical energy during the transmission and distribution of power.


One practical measure is to use higher voltages to reduce the energy losses that occur during the transmission of electricity. This is because electrical cables carrying higher voltages experience fewer line losses. For example, if the voltage is doubled, the line losses will be reduced by a factor of four. This reduction in energy losses not only improves the transmission system's efficiency but also helps conserve energy resources in the long run.



Another approach to reducing line losses is to use High Voltage Direct Current (HVDC) transmission systems instead of the traditional Alternating Current (AC) systems. HVDC systems are known to suffer from far fewer line losses than AC systems, making them more efficient and cost-effective. This is because the resistance of the cable causes the losses in AC systems, while in HVDC systems, the losses are mainly due to the conversion of the voltage from AC to DC and back again. Therefore, by eliminating the need for voltage conversion, HVDC systems can minimize line losses and improve the overall efficiency of the transmission system.


Conclusion

In power systems, it is essential to have a solid understanding of the different types of power losses that occur in AC transmission lines. By identifying these losses and finding ways to decrease them, we can improve the overall efficiency of our power systems, reduce energy consumption, and minimize our environmental impact. Power losses in AC transmission lines can occur for several reasons, such as resistance in the conductors, magnetic hysteresis in the transformer cores, and corona losses due to the high voltage levels. By studying and addressing these factors, we can work towards creating a more sustainable and efficient energy infrastructure for the future.

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