
Thermal stress is a mechanical phenomenon that occurs when a material undergoes a change in temperature, resulting in expansion or contraction. This change in temperature can be caused by various factors, including external heat sources, rapid heating or cooling, and the material's thermal expansion coefficient. In the context of electrical faults, thermal stress can lead to significant issues. For instance, in power transformers, elevated temperatures can accelerate the degradation of insulation materials, leading to a loss of dielectric strength and an increased susceptibility to electrical faults such as short circuits. Additionally, the formation of localized hot spots within the transformer can result in uneven thermal stresses, impacting the longevity and reliability of the transformer. To mitigate these issues, various design and operational strategies are employed, such as using laminated cores to restrict eddy currents and minimize their detrimental effects. Understanding and managing thermal stress in electrical faults are crucial for maintaining the integrity and functionality of electrical systems.
| Characteristics | Values |
|---|---|
| Definition | Thermal stress is the stress produced by any change in the temperature of a material. |
| Cause | Change in temperature, material's thermal expansion coefficient, and material's Young's modulus. |
| Effects | Fracturing, plastic deformation, cracking, shattering, and insulation deterioration. |
| Solutions | Use of fuses, limiting circuit breakers, insulation shields, heat shrink stress control tubes, and mastic. |
| Calculation | The stress is calculated by multiplying the change in temperature, the material's thermal expansion coefficient, and the material's Young's modulus. |
| Considerations | The maximum temperature of the core in steady-state and short circuit, the disconnection time, and the X/R ratio of the circuit at the fault point. |
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What You'll Learn

Thermal stress is caused by temperature changes
Thermal stress is a mechanical stress that occurs due to changes in temperature. It can lead to fracturing or plastic deformation, depending on the rate of temperature change and other variables such as the type of material and constraints. When a material is heated, its surface temperature rises before the centre, resulting in a temperature gradient. This temperature difference causes the surface to expand more than the centre, leading to thermal expansion. Conversely, when a material is cooled, it contracts.
In the context of electrical faults, thermal stress can occur in conductors due to changes in temperature caused by electrical currents. This can result in damage to the cable. To address this, circuit breakers or fuses can be used to limit the current and prevent excessive thermal stress. Additionally, an "insulation shield" can be employed to control and dissipate electrical stress, allowing it to travel efficiently and evenly along the cable.
The effect of thermal stress is influenced by the thermal expansion coefficient, which varies across materials. Materials with different thermal expansion coefficients can cause issues when attached, as seen in dental fillings with dissimilar coefficients to tooth enamel, resulting in pain. Ceramics, such as glass, are particularly susceptible to thermal shock, which can lead to fractures or shattering.
Thermal stress is calculated by considering the change in temperature, the material's thermal expansion coefficient, and its Young's modulus. It is vital to account for both heating and cooling cycles, as seen in welding, where metal undergoes thermal expansion, contraction, and temperature gradients, resulting in residual stress. Temperature rise tests are used to evaluate the electrical resistance of crimped connections and their impact on power dissipation, which is critical in preventing thermal stress in electrical devices.
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Temperature changes affect electrical resistance
Temperature changes do affect electrical resistance. The effect of heat on the atomic structure of a material is to make the atoms vibrate, and the higher the temperature, the more violent the atoms vibrate. In a conductor, this vibration causes many collisions between free electrons and captive electrons. Each collision uses up some energy from the free electron and is the basic cause of resistance. The more the atoms jostle around in the material, the more collisions are caused and hence the greater the resistance to current flow.
The resistance-change factor per degree Celsius of temperature change is called the temperature coefficient of resistance. Most conductive materials change specific resistance with changes in temperature. This is why figures of specific resistance are always specified at a standard temperature (usually 20° or 25° Celsius).
The temperature coefficient of resistance is a positive number for pure metals, meaning that resistance increases with increasing temperature. However, for some elements like carbon, silicon, and germanium, this coefficient is a negative number, meaning that resistance decreases with increasing temperature. In such materials, an increase in temperature can free more charge carriers, which would be associated with an increase in current.
Resistors used in electronic circuits are made from materials with a very low positive temperature coefficient. This means that their resistance will only very slightly increase with temperature. Materials chosen as insulators will have a very low negative temperature coefficient, meaning that their resistance will decrease with temperature.
In general, the greater the temperature change, the higher the level of stress that can occur. Thermal shock can result from a rapid change in temperature, resulting in cracking or shattering.
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Temperature gradients, thermal expansion and contraction cause thermal stress
Thermal stress is the mechanical stress produced by any change in temperature of a material. This change in temperature causes thermal expansion or contraction, which can lead to thermal stress when a material is not allowed to expand or contract freely.
Temperature gradients, thermal expansion, and contraction are closely related and can cause thermal stress. When a material is heated, its surface temperature rises before the temperature of the inner part. This leads to a temperature difference between the surface and the interior of the material. As long as the material is free to move, it can expand or contract without generating stresses. However, if the material is constrained or attached to a rigid body, thermal stresses can occur.
The amount of thermal expansion or contraction depends on the thermal expansion coefficient of the material. Different materials have different thermal expansion coefficients, and this affects the level of thermal stress that can occur. For example, when a metal is heated, it expands, and when it is cooled, it contracts. This expansion and contraction cause mechanical stress, especially when the metal is geometrically constrained or welded to another material.
In electrical systems, thermal stress can occur in conductors when there is a short circuit or an electrical fault. The high current flowing through the conductor can cause rapid heating, leading to thermal expansion. If the conductor is constrained or unable to expand freely, thermal stress can develop. This stress can lead to damage or failure of the conductor.
To address thermal stress in electrical faults, various techniques can be employed. One approach is to oversize the cross-section of the conductors, increasing their ability to withstand thermal stress. Fuses can also be used, as their melting time during a short circuit is shorter than the operating time of a circuit breaker, limiting the let-through energy. Additionally, limiting circuit breakers can be utilized to prevent the establishment of fault currents by allowing only a limited current intensity.
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Thermal shock can cause cracking or shattering
Thermal stress is mechanical stress that occurs when there is a change in temperature in a material. It can lead to fracturing or plastic deformation, depending on variables such as the type of material and the constraints involved. Temperature gradients, thermal expansion or contraction, and thermal shocks can all contribute to thermal stress.
Thermal shock, a type of thermal stress, occurs when there is a rapid change in temperature, resulting in a transient mechanical load on an object. This load is caused by the differential expansion of the object's parts due to the temperature change. When an object is heated, its surface temperature rises before the centre, resulting in expansion. Conversely, during rapid cooling, the surface contracts while the centre remains relatively unchanged. This localized movement creates thermal stresses, with the surface experiencing tension that encourages crack formation and propagation.
The magnitude of thermal stresses caused by cooling can be calculated in various ways, such as assuming that the entire object is stressed by the misfit strain caused by the temperature change. The condition for fracture can be determined by considering factors like the mode I fracture toughness and the size of any pre-existing flaws.
Thermal shock can lead to cracking or shattering. For example, when incandescent bulbs are splashed with cold water, the glass may shatter due to thermal shock, and the bulb may implode. Similarly, antique cast iron cookstoves can crack due to thermal shock if a fire is built too hot and then rapidly cooled by pouring water on the surface.
Additionally, thermal shock testing is used to assess the resistance of products to alternating low and high temperatures, simulating temperature cycles during normal use. Glass containers, for instance, are sensitive to sudden temperature changes, and thermal shock testing involves moving them between hot and cold water baths.
To mitigate thermal stress in electrical conductors, one can oversize the cross-section of the conductors, increasing their admissible thermal stress. Fuses can also be employed, as their melting time is typically shorter than the operating time of a circuit breaker for high short circuit currents, naturally limiting the let-through energy.
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Circuit breakers and fuses can prevent thermal stress
Thermal stress in electrical faults refers to the overheating of electrical conductors, which can lead to cable damage and potential fires. Circuit breakers and fuses are essential safety devices designed to prevent thermal stress and protect electrical systems from damage.
Circuit breakers are devices that interrupt the electric current when a fault is detected, preventing excessive heating and potential thermal stress. They use mechanically stored energy, such as springs or compressed air, to separate the contacts and break the circuit. Certain circuit breakers, such as the DIN-rail-mounted thermal-magnetic miniature circuit breaker, are commonly used in modern domestic and commercial electrical distribution systems. These breakers can be manually tripped and reset using a lever, even if the lever is locked in the "on" position. This feature ensures that the circuit can be interrupted and prevents potential thermal stress.
Another type of circuit breaker is the thermal-magnetic circuit breaker, which includes miniature circuit breakers (MCBs) and moulded case circuit breakers (MCCBs). These breakers operate using thermal or thermal-magnetic principles and are rated for currents up to 125 A and 1,600 A, respectively. They are commonly used in low-voltage applications and can be found in domestic, commercial, and industrial settings.
Fuses are also crucial in preventing thermal stress. Unlike circuit breakers, fuses have a melting time that is generally shorter than the operating time of a circuit breaker for high short circuit currents. This natural limitation of let-through energy helps prevent thermal stress. Fuses are single-use devices that must be replaced when triggered or blown, ensuring that the electrical system is protected from overheating. Thermal fuses, a specific type of fuse, react only to excessive temperatures rather than excessive current. They are commonly used in appliances such as refrigerators, microwaves, and dryers to protect against overheating.
In summary, circuit breakers and fuses play a critical role in preventing thermal stress in electrical faults. Circuit breakers interrupt the circuit when a fault is detected, while fuses have a limited melting time that restricts let-through energy. By combining these safety measures, electrical systems can be effectively protected from overheating and potential damage caused by thermal stress.
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Frequently asked questions
Thermal stress is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints.
Thermal stress can cause electrical faults when it weakens the structural integrity and connections within electrical components. This can lead to mechanical and electrical faults. In the case of power transformers, thermal stress can accelerate the oxidation and decomposition of the oil, creating a vicious cycle of increasing temperatures and faults.
Thermal stress in electrical faults can be mitigated by using fuses or limiting circuit breakers. Fuses have a shorter melting time than the operating time of a circuit breaker for high short circuit currents, naturally limiting the let-through energy. Limiting circuit breakers are designed to prevent the establishment of fault currents by only letting through a current of limited intensity.










































