Monday, April 22, 2019

Fire Alarm Voltage Drop Calculator & NAC Calculation Guide

Fire Alarm Design Guide

Fire Alarm Voltage Drop Calculations: NAC Formulas, Methods & Examples

Learn how to calculate voltage drop on a fire alarm notification appliance circuit (NAC), including end-of-line and point-to-point methods, wire resistance, appliance current, minimum voltage and a complete worked example for fire alarm designers, technicians and NICET candidates.

Quick Answer: How Do You Calculate Fire Alarm Voltage Drop?

Fire alarm voltage drop is calculated using Ohm's Law. Determine the current flowing through the circuit and the resistance of the conductors, then multiply current by resistance.

Voltage Drop (V) = Current (A) × Resistance (Ω)

For a simplified end-of-line calculation, the total circuit current is applied to the conductor loop. For a point-to-point calculation, each wire segment is calculated individually using only the current that continues downstream through that segment.

Subtract the calculated voltage loss from the minimum NAC terminal voltage documented for the specific fire alarm control unit or power supply. The remaining voltage at every notification appliance must meet or exceed the appliance manufacturer's listed minimum operating voltage.

Why Fire Alarm NAC Voltage Drop Calculations Matter

Notification appliances can be wired correctly and still fail to operate properly if insufficient voltage reaches them during alarm conditions.

Voltage drop calculations help verify that horns, strobes, horn/strobes and other notification appliances receive enough voltage under the expected circuit load.

A proper calculation can also help determine:

  • How many notification appliances can be installed on a NAC
  • Whether a larger conductor size is required
  • Whether additional notification circuits or remote power supplies are necessary
  • The approximate voltage available at each appliance
  • Whether the circuit remains within the manufacturer's operating limits
  • Whether the circuit design is likely to perform correctly under alarm load
Important: Do not assume that 16 VDC is the universal minimum voltage for every 24-volt notification appliance. Many regulated 24 VDC appliances have historically been listed over ranges such as 16–33 VDC, but the actual minimum operating voltage must be taken from the data sheet and listing for the specific appliance being used.
Fire alarm NAC voltage drop explained with FACP, notification appliances, wire length, current and voltage drop formula
Fire alarm NAC voltage drop concept showing current flowing through multiple notification appliances. The voltage values shown in this infographic are conceptual examples only; use the verified worked calculation later in this article for the exact mathematical example.

What Information Is Needed for a Fire Alarm Voltage Drop Calculation?

Before starting the calculation, collect the actual design information for the circuit.

  • Minimum NAC terminal voltage: Use the minimum output voltage documented by the fire alarm control unit or notification power supply manufacturer for the applicable operating condition.
  • Notification appliance current: Use the listed current draw for the exact horn, strobe, candela, pattern or other selected setting.
  • Minimum appliance operating voltage: Confirm the listed operating voltage range for every connected appliance.
  • Actual wire length: Use the planned conductor routing rather than straight-line architectural distance.
  • Conductor resistance: Use the appropriate resistance value for the wire size, conductor material and applicable temperature assumptions.
  • Circuit topology: Confirm the Class, pathway arrangement, return path and manufacturer-specific circuit configuration.
  • Equipment compatibility: Confirm that the notification appliances, power supply and fire alarm control equipment are listed and compatible for the intended application.
Design Rule: Equipment listings and manufacturer instructions control. Always verify the adopted codes, project specifications, local amendments and AHJ requirements before finalizing a fire alarm voltage drop calculation.
NFPA 72 Documentation Note: Voltage-drop calculations are an important part of fire alarm system design documentation. Depending on the adopted edition and AHJ requirements, voltage-drop calculations for notification appliance circuits may be required as part of the system submittal package.

End-of-Line vs. Point-to-Point Fire Alarm Voltage Drop

Two commonly used calculation approaches are the end-of-line loaded method and the point-to-point method.

End-of-line versus point-to-point fire alarm NAC voltage drop calculation methods
End-of-line calculations apply the circuit load conservatively across the conductor path, while point-to-point calculations account for the current remaining after each notification appliance.
Method How It Works Advantages Limitations
End-of-Line / End-Line Loaded Applies the circuit load across the conductor path using a conservative end-loaded approach. Fast, simple and conservative. Can calculate more voltage loss than the circuit actually experiences because downstream segments do not carry the full original circuit current.
Point-to-Point Calculates each wire segment using the actual downstream current carried by that segment. More accurately represents the electrical behavior of the circuit. Requires accurate segment lengths, appliance locations and additional calculations.
Which method should you use? Use the calculation method required or accepted by the equipment manufacturer, design professional, project specifications and authority having jurisdiction. Point-to-point calculations can provide a more precise model, while end-line-loaded calculations are intentionally conservative.

Fire Alarm Voltage Drop Formula

The basic electrical relationship is Ohm's Law:

V = I × R

Where:

  • V = voltage drop in volts
  • I = current in amperes
  • R = conductor resistance in ohms

Conductor Resistance Formula

If conductor resistance is expressed in ohms per 1,000 feet:

Resistance (Ω) = Wire Length (ft) × Resistance per 1,000 ft ÷ 1,000

For a simplified two-conductor circuit calculation, remember that the current travels through both the outgoing and return conductors.

Do not double the distance automatically on every circuit configuration. The conductor path must reflect the actual circuit topology. Class A, Class B and manufacturer-specific arrangements can affect how circuit length is evaluated.

End-of-Line Voltage Drop Calculation

1
Add the notification appliance current. Total the worst-case listed current for every appliance on the NAC. Convert milliamperes to amperes before using Ohm's Law.

Example: 375 mA = 0.375 A
2
Determine the conductor path. Use the actual planned conductor routing. In the simplified two-conductor example below, the one-way segment lengths are added together and doubled to represent outgoing and return conductors.
3
Calculate conductor resistance. Multiply the conductor length by the appropriate wire resistance per foot, or divide by 1,000 when the conductor resistance is expressed in ohms per 1,000 feet.
4
Calculate the voltage drop. Multiply circuit current in amperes by conductor resistance in ohms.
5
Calculate the remaining voltage. Subtract the calculated voltage loss from the manufacturer's documented minimum NAC terminal voltage.
Remaining Voltage = Minimum NAC Terminal Voltage − Calculated Voltage Drop

Compare the remaining voltage with the listed minimum operating voltage of the connected notification appliances.

Worked Fire Alarm NAC Voltage Drop Example

The following example retains the original circuit values used in this Fire Alarms Online article while correcting the historical point-to-point calculation.

  • Example minimum NAC terminal voltage: 19.9 VDC
  • V1 current = 85 mA
  • V2 current = 75 mA
  • V3 current = 115 mA
  • V4 current = 100 mA
  • Total appliance current: 375 mA = 0.375 A
  • One-way conductor segments: 200 ft, 150 ft, 25 ft and 70 ft
  • Total one-way length: 445 ft
  • Simplified two-conductor loop length: 890 ft
  • Example #12 AWG stranded uncoated copper conductor resistance: 1.98 Ω per 1,000 ft
Important: The 19.9 VDC starting value is used only for this worked example. Do not assume 19.9 VDC, nominal 24 VDC or any other single voltage applies to every fire alarm system. Use the documented minimum NAC output voltage for the specific FACP or notification power supply being designed.

End-of-Line Method

First calculate the conductor resistance:

(890 ft ÷ 1,000) × 1.98 Ω = 1.7622 Ω

Next calculate the voltage drop:

0.375 A × 1.7622 Ω = 0.660825 V

Subtract the voltage drop from the example starting voltage:

19.9 V − 0.660825 V = 19.239175 VDC

The calculated voltage at the end of the simplified circuit is approximately:

19.239 VDC

That value must then be compared with the listed minimum operating voltage for the actual notification appliances.

Point-to-Point Method

The point-to-point method calculates voltage loss separately on every conductor segment using only the appliances located downstream of that segment.

Segment Loop Resistance Downstream Current Segment Drop Voltage After Segment
FACP to V1: 200 ft 400 ÷ 1,000 × 1.98 = 0.792 Ω 0.375 A 0.297 V 19.603 VDC
V1 to V2: 150 ft 300 ÷ 1,000 × 1.98 = 0.594 Ω 0.290 A 0.17226 V 19.43074 VDC
V2 to V3: 25 ft 50 ÷ 1,000 × 1.98 = 0.099 Ω 0.215 A 0.021285 V 19.409455 VDC
V3 to V4: 70 ft 140 ÷ 1,000 × 1.98 = 0.2772 Ω 0.100 A 0.02772 V 19.381735 VDC
Corrected Point-to-Point Result: The original historical version of this calculation accidentally used 0.200 A on the final conductor segment even though the only downstream appliance, V4, draws 0.100 A. The corrected voltage at V4 is approximately 19.382 VDC.

End-of-Line vs. Point-to-Point Result

End-of-Line: 19.239 VDC

Point-to-Point: 19.382 VDC

The point-to-point result is slightly higher because the current decreases as each appliance is passed. The end-of-line method conservatively applies a larger load across more of the conductor path.

Why You Should Not Start With Nominal 24 VDC

One of the most common fire alarm voltage drop mistakes is starting the calculation at a nominal system voltage such as 24 VDC without checking the manufacturer's documentation.

The actual minimum available NAC voltage can be affected by:

  • Battery operating voltage
  • Internal control-unit voltage losses
  • Power supply design
  • NAC circuitry
  • Operating conditions
  • Equipment listing

For design calculations, use the minimum NAC terminal voltage published by the manufacturer for the applicable equipment and operating condition.

How Wire Size Affects Fire Alarm Voltage Drop

Larger conductors have less resistance and therefore produce less voltage drop for the same circuit length and current.

For example, changing a long or heavily loaded NAC from a smaller conductor to a larger conductor can sometimes bring the circuit back within acceptable operating limits without adding another power supply.

However, larger wire is not automatically the best solution. Designers should evaluate:

  • Conductor cost
  • Raceway fill
  • Terminal limitations
  • Manufacturer requirements
  • NAC capacity
  • Number of circuits
  • Remote power supply locations
  • Future expansion

Does Candela Affect Fire Alarm Voltage Drop?

Yes. On many visual and audible/visual notification appliances, changing the candela setting changes the appliance current.

Higher candela settings frequently require more current. That additional current can increase voltage drop and reduce the number of appliances that can be installed on a circuit.

Always calculate the circuit using the current associated with the actual selected candela and operating setting.

Fire Alarm Voltage Drop and NAC Current Capacity Are Different

A circuit can pass the voltage drop calculation and still exceed the maximum current capacity of the notification appliance circuit.

Both conditions must be checked:

  • NAC current capacity: Is the total connected load within the rated output of the circuit?
  • Voltage drop: Is enough voltage available at every appliance?

A successful voltage drop calculation does not override a manufacturer's maximum circuit current rating.

Common Fire Alarm Voltage Drop Mistakes

  • Using nominal 24 VDC instead of the manufacturer's minimum NAC terminal voltage
  • Using the wrong current for the selected strobe candela or audible setting
  • Forgetting to convert milliamperes to amperes
  • Using straight-line distance instead of actual routed conductor length
  • Assuming 16 VDC is universally acceptable for every appliance
  • Using the full circuit current on every segment while calling the calculation point-to-point
  • Ignoring conductor temperature and resistance assumptions
  • Using resistance data for the wrong conductor size or material
  • Ignoring synchronization and equipment compatibility requirements
  • Exceeding NAC current capacity even though voltage drop passes
  • Rounding intermediate calculations too early
  • Failing to account for whips, risers, drops, service loops or other conductor length
  • Failing to coordinate the calculation with the actual installed routing

Fire Alarm Voltage Drop Frequently Asked Questions

What is the formula for fire alarm voltage drop?

The basic formula is Ohm's Law: voltage drop equals current in amperes multiplied by conductor resistance in ohms.

V Drop = I × R

What starting voltage should I use for a fire alarm NAC?

Use the minimum NAC output or terminal voltage specified by the manufacturer for the particular control unit or notification power supply and applicable operating condition. Do not automatically use nominal 24 VDC.

Is 16 VDC always the minimum fire alarm appliance voltage?

No. Some regulated 24 VDC notification appliances are listed for operation down to 16 VDC, but the correct minimum voltage is the value published for the exact appliance being installed.

Which voltage drop method is more accurate?

The point-to-point method generally models the actual circuit more accurately because current decreases after each appliance. The end-line-loaded method is more conservative because it assumes a greater load across the circuit.

Which voltage drop method should I use?

Use the method accepted or required by the equipment manufacturer, project specifications, design professional and authority having jurisdiction.

Do I need to double the fire alarm wire length?

For a simple two-conductor circuit calculation, both outgoing and return conductor resistance must be accounted for. However, do not blindly double architectural distance on every circuit. Calculate the actual conductor path based on the circuit configuration.

Does higher strobe candela increase voltage drop?

It often does because higher candela settings can increase appliance current. Use the manufacturer's listed current for the exact candela and operating setting.

Can a voltage drop calculation pass while the NAC is overloaded?

Yes. Voltage drop and circuit current capacity are separate design checks. The total connected appliance current must remain within the rated capacity of the NAC even when the available voltage is acceptable.

Is point-to-point always required?

Not necessarily. Both conservative end-line-loaded calculations and detailed point-to-point calculations are used in fire alarm design. Follow the requirements of the equipment manufacturer, project specifications and AHJ.

Does passing the voltage drop calculation guarantee compliance?

No. The system must also comply with equipment listings, compatibility requirements, current limits, synchronization requirements, conductor requirements, manufacturer instructions, adopted codes, approved plans, specifications and AHJ requirements.

Fire Alarm Voltage Drop Design Checklist

Before completing the circuit calculation, verify:

☐ Minimum NAC terminal voltage

☐ Exact notification appliance model

☐ Selected horn or audible setting

☐ Selected strobe candela

☐ Appliance current draw

☐ Minimum appliance operating voltage

☐ Total connected NAC current

☐ Actual conductor routing

☐ Conductor size

☐ Conductor material

☐ Conductor resistance

☐ Applicable temperature assumptions

☐ Circuit Class and topology

☐ Power supply compatibility

☐ Synchronization requirements

☐ End-of-line or point-to-point calculation method

☐ Voltage at the final appliance

☐ Voltage at intermediate appliances where applicable

☐ Manufacturer instructions

☐ Project specifications

☐ AHJ requirements

Run Your Fire Alarm Calculations Faster

Download the free Fire Alarms Online multi-tool for voltage drop, Ohm's Law, battery calculations and additional fire alarm design and field calculations.

Related Fire Alarm Resources

Primary Fire Alarm Voltage Drop References

  • NFPA 72, National Fire Alarm and Signaling Code — notification appliance circuits, documentation and voltage-drop design requirements
  • NFPA 70, National Electrical Code — conductor and wiring requirements applicable to fire alarm systems
  • Notification appliance manufacturer data sheets — current draw, operating voltage, candela settings and listing information
  • FACP and power supply manufacturer documentation — minimum NAC terminal voltage, maximum circuit current and compatibility requirements
  • Project specifications and AHJ requirements — jurisdiction-specific calculation and submittal criteria
Code Edition Reminder: Fire alarm requirements vary by adopted code edition and jurisdiction. Always verify the editions of NFPA 72, NFPA 70 and other referenced standards adopted for the project rather than assuming the newest published edition is enforceable locally.

Educational information only. Always verify calculations against adopted codes, approved plans, project specifications, equipment listings, manufacturer instructions and the authority having jurisdiction.

5 comments:

  1. Hi Kyle. Not sure if anyone has already informed you, but in the Point to Point calc above there's a math error.
    .594 x .290 (Current of Appliances V2-V4) = .16356 volts dropped @ V2
    The actual number is .594 x .290 = 0.17226
    So all the values from that point on are slightly off. In the end the difference is only hundredths or thousandths of a difference. So no biggie. But since this is a teaching website I thought you should know.

    ReplyDelete
  2. What is the lowest acceptable Terminal Cut-Off Voltage? I have 16.56V

    ReplyDelete
  3. You state that the voltage that will be supplied to the last appliance on the circuit MUST exceed 16 volts. Why?

    ReplyDelete
    Replies
    1. 16 volts is the minimum voltage needed for a notification device to function.

      Delete