DC Arc Flash Analysis
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1 DC Arc Flash Analysis By, Raghu Veeraraghavan, ETAP Innovation Automation Collaboration ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 1
2 Agenda Why conduct DC Arc Flash Analysis? Characteristics of an Arc DC Short Circuit calculations Maximum Power Method Stokes and Oppenlander Method Paukert Method Box / open configurations energy equations Discussion Items Changes to NFPA 70E ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 2
3 Why conduct DC Arc Flash Analysis? Several papers have surfaced regarding studies being conducted dc systems Many industrial applications of dc power systems Hazards can be found: Large uninterruptible power supply cabinets with battery banks Electrical room station battery sets Drive cabinets with dc buses Special process equipment using DC buses such as a salt cell processing ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 3
4 Characteristics of an Arc An consists of three regions: 1) Anode region 2) Cathode region 3) Plasma column The voltage gradient across the plasma depends on the actual length; the may deviate from the gap width between the electrodes ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 4
5 V-I Characteristic Curves As current increases, voltage decreases ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 5
6 DC Short Circuit Battery, Charger, and UPS Sources can be modeled as: Constant Current Voltage behind an impedance Thevenin Equivalent of System R is found to calculated the short circuit current ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 6
7 Methodology for DC Arc Flash DC Arc Flash Basic Concepts ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 7
8 3 Methods for DC Arc Flash Maximum Power Method Stokes and Oppenlander Method Paukert Method ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 8
9 Maximum Power Method Maximum Power Method was introduced in 2007 in the ESW by Daniel R. Doan. Based on the concept that the maximum power possible in a DC will occur when the ing voltage is one-half of the system voltage. I 0.5 I bf R 0.5 V source I bf ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 9
10 Maximum Power Method Energy equations for Arc in a box and Open Air IE open 0.01 V sys I T D 2 IE box V sys I T D ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 10
11 NFPA 70E ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 11
12 Maximum Power Method Pros: Always giving you ing current results. Simplicity of calculations (no iterations or complex non linear equations). Most conservative of all methods. Cons: Could be too conservative because of the ing current is calculated higher than real life situations. (Ex.- If it falls off the instantaneous pick up, time might be longer.) Calculations limitations: Cannot predict if an can be generated (can occur). This method applies to dc systems rated up to 1000 VDC ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 12
13 Stokes and Oppenlander Performed a study of free-burning vertical and horizontal s between series electrodes in open air. Based on the extensive study, Stokes and Oppenlander created empirical equations based on test results. As a result, to maintain the minimum voltage of an, depends on current magnitude, gap width and orientation of electrodes ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 13
14 Stokes and Oppenlander Horizontal Arc in Open Air with Copper Electrodes Continuous Lines Measured Results Dotted Lines Calculated Results ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 14
15 Stokes and Oppenlander Vertical Arc in Open Air with Aluminum Electrodes Continuous Lines Measured Results Dotted Lines Calculated Results ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 15
16 Stokes and Oppenlander Requires iterative solutions by first establishing initial guess and iteratively solve for Rs (fixed) and R (changes). Zg = Gap between Electrodes (mm) I t z g V ( z g ) I 0.12 R ( I 0.88 z g ) ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 16
17 Pros: If the gap, voltage and system impedance are within the limits of the equations, the model can predict if the is sustained. If the gap is too long, cannot find an solution (I too low). FCT is more accurate. Energy is more accurate rather than over conservative. Cons: It requires iterative solutions and not easy to solve. Stokes and Oppenlander Calculations limitations: If ing current is below transition point, a solution cannot be solved ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 17
18 Paukert Paukert compiled published ing fault data from seven resehes who conducted a wide of tests. Some were AC and some were DC with both vertical and horizontal configurations. Arcing currents ranged from 0.3A to 100kA with electrode gaps from 1 to 200mm. Based on the collected data, Paukert formulated voltage and resistance equations with electrode gap widths ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 18
19 Paukert ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 19
20 Paukert Pros: Same as Stokes and Oppenlander. If the gap, voltage and system impedance are within the limits of the equations, the model can predict if the is sustained. Energy is more accurate rather than over conservative. Cons: Requires iterative solutions not easy to solve. Its not applicable and should not be used for electrode gaps more than 200 mm. Calculations limitations: Current cannot be more than 100kA ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 20
21 Deriving Energy Equations P E Power V I I 2 V dc I R I dc 2 t R ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 21
22 Energy Equations Energy Equations for Open Air and Enclosed Configurations E 1 E s 4 E k a 2 E 2 d d ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 22
23 Reflectivity Coefficients Enclosed DC Arc Fault values a and k Enclosure Width (mm) Height (mm) Depth (mm) a (mm) k Panelboard LV Switchgear MV Switchgear ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 23
24 Comparison of the Stokes and Oppenlander vs. Paukert ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 24
25 Comparison of the Stokes and Oppenlander vs. Paukert ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 25
26 Comparison of the Stokes and Oppenlander vs. Paukert Observations based on the Empirical Methods 1) Arc resistance is nonlinear 2) Arc resistance decreases with increasing current 3) Arc resistance approaches a constant value at high current magnitudes 4) Arc resistance changes rapidly at low current magnitudes (<1kA). 5) Paukert predicts larger resistances than Stokes and Oppenlander predict. 6) For a given current, the resistance increase linearly with the electrode gap ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 26
27 Discussion Items If only constant current sources are in the systems, cannot find R, I, V since R Thevenin is unknown. Energy reduction for multiple sources does not subtract current when source is cleared. Time constant or rise time of the current is ignored. It is assumed the current has reached its max value. (It is valid for electronic devices, not valid for batteries that have resistances) ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 27
28 Comparison of Incident Energy Bus ID Voltage (Volts) MAX POWER PAUKERT STOKES Electrochemical DC Bus Substation Battery Rack UPS Battery System Bus ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 28
29 ETAP Arc Flash Analyzer Arc flash Analyzer showing multiple sample reports comparing all methods ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 29
30 Updates on NFPA DC Arc Flash Maximum Power Method Removed 125 kva Exception (An Arc Flash Hazard Analysis may not be necessary for some three-phase systems rated less than 240 Volts Added DC Arc Flash Boundaries table. (Table (C) b) Arc Flash Protection Boundary = Arc Flash Boundary Removed Prohibited Approach Boundary ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 30
31 References NFPA 70E 2015 Standard for Electrical Safety in the Workplace J. Paukert, The Arc Voltage and Arc Resistance of LV Fault Arcs", Proceedings of the 7th International Symposium on Switching Arc Phenomena, 1993, pp A.D. Stokes and W.T. Oppenlander, "Electric Arcs in Open Air", J. of Physics D: Applied Physics, 1991, pp R. Ammerman, T. Gammon, P.K. Sen, J. Nelson, Dc Arc Models and Incident Energy Calculations, Paper No. PCIC Daniel R Doan, Arc Flash Calculations for Exposures to DC Systems, IEEE Transactions on Industry Applications, Vol. 46, NO.6, November/December 2010 Albert Marroquin, Arc Flash Product Manager, ETAP ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 31
32 Thank you! ETAP/Operation Technology, Inc. Workshop Notes: Arc Flash Analysis Slide 32
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