
DC arcing is a complex phenomenon that's essential to understand for anyone working with electrical systems. DC arcing occurs when a high-voltage electrical discharge creates a spark between two electrodes.
In industrial settings, DC arcing is often a safety concern, as it can lead to equipment damage and even fires. DC arcs can reach temperatures of up to 30,000°C, hotter than the surface of the sun.
DC arcing can also be used to our advantage in various applications, such as in plasma cutting and welding. By carefully controlling the arc, we can achieve precise cuts and strong welds.
In plasma cutting, DC arcing is used to ionize a gas, creating a plasma that can cut through metal with high precision.
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Understanding DC Arcing
DC arcing is a serious concern in electrical systems, and understanding how it works is crucial for maintaining safety.
The incident energy from a DC arc flash in open air can be calculated using a specific formula: Ei air = Earc/(4π x d).
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This formula is based on the DC Arc Models paper and takes into account the distance from the arc to the worker.
To use this formula, you'll need to know the DC arcing current, arc resistance, and arc duration.
These values can be obtained from previous iterative calculations.
The distance from the arc to the worker, also known as the working distance, is also a critical factor in calculating the incident energy.
A typical working distance is 18 inches, or 457 mm, as mentioned in the article.
The incident energy can be converted from J/mm to a more commonly used unit, calories/centimeter, by multiplying by 23.9.
This is done to make the calculation more understandable and practical.
The maximum arc duration used in this calculation is 0.3 seconds, which is a value defined by the characteristic of an upstream protective device.
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Applications and Usage
The DC arcing calculator is a valuable tool for electrical engineers, but it's essential to understand its limitations and usage. It's based on published white papers and is not a replacement for IEEE 1584:2018.
The calculator can be used as a guide with good engineering judgment applied to input values and results. It's suitable for systems with a voltage range of 50 volts to 30,000 volts.
You can use the calculator for systems with direct current only. The working distance should be between 305 mm and 900 mm. The calculator can handle grounding of all types and ungrounded systems, as well as gaps between conductors of 1 to 250 mm.
To use the calculator, you'll need to select the enclosure type or open air from the dropdown field. You'll then need to enter values for the internal resistance of the source, the conductor resistance, and the arc gap.
How to Use It
To use the DC incident energy calculator, you need to select the enclosure type or open air from the dropdown field. This will require you to enter values for the internal resistance of the source, the conductor resistance, and the arc gap.

The calculator assumes a direct current only, and the voltage range is between 50 volts and 30,000 volts. It's essential to keep in mind that the calculator has limitations and should be used with good engineering judgment applied.
To calculate the incident energy, you'll need to determine the arcing current Idc arc, which can be used to determine the disconnection time from the TCC. If the disconnection time is not available, you can estimate the reaction time and enter it into the calculator.
The working distance d is also a crucial input value, which should be measured to the source of the arc. Note that the IEEE 1584 Guide recommends a figure of two seconds if there is no restriction of access.
Here are the specific input values you'll need to enter into the calculator:
- Internal resistance of the source
- Conductor resistance
- Arc gap
- Disconnection time (or estimated reaction time)
- Working distance d (measured to the source of the arc)
By entering these values, you'll be able to calculate the incident energy level at the stated working distance.
EAF AC Difference

The main differences between AC arc furnace and other types of furnaces lie in the number of electrodes and power supply system.
AC arc furnaces use a single electrode, whereas other types of furnaces use multiple electrodes.
Ultra-High Power Electric Furnace
The 50-ton ultra-high power electric arc furnace (50TUPH EAF) is a type of furnace that adopts ultra-high power, high impedance technology.
This technology allows for more efficient melting and refining of metals. It also features bottom tapping technology (ETB), which enables the furnace to tap molten metal from the bottom.
The 50TUPH EAF also incorporates a furnace wall oxygen oil burner and a furnace door carbon-oxygen gun. These features help to improve the overall performance and safety of the furnace.
Ultra-high power electric arc furnaces mainly change the arc characteristics from high voltage and long arc to high current, low voltage and short arc. This change in arc characteristics allows for more precise control over the melting process.
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Calculation and Methods
To calculate the arc resistance, we use the equation Rarc = V / (Rc + Rs + G), where G is the conductor gap in mm and V is the source voltage. This equation is used to find the arc resistance, but we also need to estimate the arcing current, which is 50% of the prospective short circuit current.
The prospective short circuit current is found by dividing the voltage by the sum of Rc and Rs. Once we have this estimate, we can use it in the equation to get a first estimate of the arc resistance. We then repeat the process, using the new arc resistance and current to refine our estimate.
The arc energy, Earc, is calculated using the formula P = I x R x t, where I is the arcing current, R is the arc resistance, and t is the disconnection time of the circuit. This value is then used to calculate the incident energy, Ei air, using the equation Ei air = Earc x 23.9 / (4π x d), where d is the distance from the arc source to the worker.
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Technical Papers

Technical Papers are a crucial part of the calculation and methods process. They provide a detailed and systematic approach to solving problems and making informed decisions.
One key aspect of Technical Papers is the use of numerical methods, such as the finite element method, to solve complex problems. This method is particularly useful for analyzing stress and strain on materials.
The finite element method involves dividing a complex problem into smaller, more manageable pieces, called elements. These elements are then analyzed separately and combined to form a complete solution.
The accuracy of the finite element method depends on the size and shape of the elements. Smaller elements generally provide a more accurate solution, but require more computational power.
The use of numerical methods in Technical Papers is essential for ensuring the accuracy and reliability of the results. This is particularly important in fields such as engineering and physics, where small errors can have significant consequences.

A good Technical Paper should clearly explain the methods used and the results obtained. This allows readers to understand the underlying assumptions and limitations of the study.
The International Journal of Numerical Methods in Engineering is a leading publication in the field of numerical methods. It publishes original research and review articles on the latest developments in the field.
Technical Papers can be used to communicate complex ideas and results to a wide audience. They provide a formal and structured way of presenting information and can be an essential tool for researchers and professionals.
Calculation Method
The calculation method for determining arc fault current and energy is quite involved, but it's based on some straightforward principles. We start by using Ohm's Law to find the current that flows in the arc, which is given by I = V/R, where V is the source voltage and R is the total resistance of the circuit.

To find the arc resistance, we need to estimate the arcing current, which is typically taken as 50% of the prospective short circuit current. This estimate is then used in an iterative process to calculate the arc resistance and arcing current until the values converge.
The arc energy can be calculated using the formula P = I x R x t, where P is the power, I is the arcing current, R is the arc resistance, and t is the disconnection time of the circuit.
The arc energy is then used to calculate the incident energy on a worker, which depends on the distance from the arc source to the worker. If the arc is enclosed, a different formula is used to calculate the incident energy.
Here's a table summarizing the formulas used to calculate the incident energy:
In the formulas, d is the distance from the arc source to the worker, a is a factor that depends on the type of enclosure, and k is a factor that depends on the type of arc.
Electrodes and Power
Electric arc furnaces, like the 50-ton ultra-high power electric arc furnace, typically have one electrode, which is the negative electrode, located at the bottom.
The DC arc furnace usually has a single electrode, making it a simple setup.
In contrast, the AC arc furnace, which is not mentioned in this specific article section, typically has two electrodes, one being the anode and the other the cathode.
Enclosure / Box
An electrode is essentially a conductor that facilitates the flow of electrical current, and it's often housed in an enclosure or box to protect it from the environment and prevent electrical shock.
The enclosure or box typically has a rating of IP65 or higher, which means it's dustproof and can withstand low-pressure jets of water from any direction.
In some cases, the enclosure may be made of a conductive material, such as aluminum or copper, which allows it to serve as a grounding point for the electrode.
The enclosure's size and shape are designed to accommodate the electrode and any additional components, such as connectors or sensors, that may be required for the application.
A well-designed enclosure can help to reduce electrical noise and interference, ensuring that the electrode operates reliably and efficiently.
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Number of Electrodes:
The number of electrodes in an electric arc furnace plays a significant role in its operation. DC arc furnaces typically have only one electrode, which is the negative electrode, and the bottom electrode is the positive electrode.
In contrast, AC arc furnaces usually have two electrodes, one being the anode and the other the cathode.
Safety and Stability
The arc stability of a DC arc furnace is stable and concentrated, which results in a well-stirred molten pool and a uniform temperature distribution in the furnace.
This stability also leads to small lining erosion, making it a more reliable option.
In contrast, AC arc furnaces have poor arc stability, which can affect the molten pool stirring effect and may not be as efficient as a DC arc furnace.
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AC Extinguishment
AC extinguishment is crucial in emergency situations.
A fire extinguisher rated for electrical fires, such as a Class C extinguisher, can be used to put out an AC fire.
These extinguishers are designed to cool the electrical components and smother the fire.
In a residential setting, the extinguisher should be easily accessible and clearly labeled.
The goal is to prevent the fire from spreading to other areas of the home.
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Stability
The arc stability of a DC arc furnace is a major advantage, with a stable and concentrated arc that ensures a well-stirred molten pool and uniform temperature distribution in the furnace.
This results in small lining erosion and a more efficient overall process. In contrast, the arc stability of an AC arc furnace is poor, which can lead to a less than ideal molten pool stirring effect.
The DC arc furnace's stable arc also means that the electrodes are consumed at a lower rate, requiring less frequent replacements compared to the AC arc furnace.
Episode 3: Rating's Impact on Safety
In Episode 3, we explore the impact of arc rating on DC arc safety. Wearing the proper AR/FR protection is vital to ensure protection against DC hazards.
A NFPA 70E compliant CAT 2 AR/FR coverall withstood a DC arc flash without breaking through or showing residual afterflame. This highlights the importance of matching the arc rating of your garment to the incident energy level of DC arcs common to your workplace.
Dressing in a CAT 2 AR/FR coverall ensured the manikin's safety, and it's crucial to prioritize your safety before heading to the jobsite.
Specialized Topics
In cold weather conditions, electrical workers must prioritize outerwear designed to protect against DC arc hazards.
Choosing non-FR outerwear poses a significant risk to electrical workers, as it can ignite instantly and cause catastrophic or fatal injury.
The difference between AR / FR outerwear and non-FR outerwear is stark, with AR / FR outerwear receiving minimal afterflame that extinguishes immediately.
In a DC arc test, non-FR outerwear can melt off the body, leading to severe injury or death.
AR / FR outerwear, on the other hand, remains intact with no visible damage or shrinkage, and the closures remain operational.
Don't risk being unprotected in cold conditions - opt for AR / FR outerwear to stay warm and secure in the face of DC arc hazards.
Frequently Asked Questions
What is the difference between AC and DC arching?
DC arching remains 'on' throughout, whereas AC arching alternates between 'on' and 'off' with each cycle
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