General Method for Determining Heater Requirements

Most electrical heating problems can be readily solved by determining the heat required to do the job. To do this, the heat requirement must be converted to electrical Power and the most practical heater can then be selected for the job. Whether the problem is heating solids, liquids or gases, the method, or approach, to determining the Power requirement is the same.
All heating problems involve the following steps to their solution:

Define the Heating Problem
Gather application information
Sketch problem for visual reference

Calculate Power Requirements
System start-up power requirement
System maintenance power requirements
Operating heat losses

Review System Application Factors
Operating temperature
Operating efficiency
Safe/permissible watt densities
Mechanical considerations
Operating environment factors
Heater life requirements
Electrical lead considerations

Select Heater
Type
Size
Quantity

Select Control System
Type of temperature sensor and location
Type of temperature controller
Type of power controller



Defining the Problem
Your heating problem must be clearly stated, paying careful attention to defining operating parameters. Take these into consideration:
Minimum start and finish temperatures expected
Maximum flow rate of material(s) being heated
Required time for start-up heating and process cycle times
Weights and dimensions of both heated material(s) and containing vessel(s)
Effects of insulation and its thermal properties
Electrical requirements---voltage
Temperature sensing methods and location(s)
Temperature controller type
Power controller type
Electrical limitations
And since the thermal system you're creating may not take into account all the possible or unforeseen heating requirements, don't forget a safety factor. A safety factor increases heater capacity beyond calculated requirements.



Calculations for Required Heat Energy
When performing your own calculations, refer to the Reference Data screens for values of materials covered by these equations.
The total heat energy (kWh or Btu) required to satisfy the system needs will be either of the two values shown below depending on which calculated result is larger.

Heat required for start-up
Heat required to maintain the desired temperature
The power required (kW) will be the heat energy value (kWh) divided by the required start-up or working cycle time. The kW rating of the heater will be the greater of these values plus a safety factor.
The calculation of start-up and operating requirements consist of several distinct parts that are best handled separately. However, a short method can also be used for a quick estimate of heat energy required.



Short Method
Start-up watts = A + C + 2/3L + Safety Factor
Operating watts = B + D + L + Safety Factor
Safety Factor is normally 10% to 35% based on application.

A = Watts required to raise the temperature of material and equipment to the operating point, within the time desired.
B = Watts required to raise temperature of the material during the working cycle.
Equation for A and B (Absorbed watts-raising temperature)

C = Watts required to melt or vaporize material during start-up period.
D = Watts required to melt or vaporize material during working cycle.
Equation for C and D (Absorbed watts-melting or vaporizing)

L = Watts lost from surfaces by:
Conduction---use equation below
Radiation---use heat loss curves
Convection---use heat loss curves
Equation for L (Lost conducted watts)


For more detailed equations used in solving power estimating problems, see Power Equations under Equations.
See Heat Loss Factors and Graphs in Reference Section.



Safety Factor Calculation

You should always include a safety factor of varying size to allow for unknown or unexpected conditions. The size of the safety factor is dependent on the accuracy of the wattage calculation. Heaters should always be sized for a higher value than the calculated figure. A factor of 10% is adequate for small systems that are closely calculated; 20% additional wattage is more common. Safety factors of 20% and 35% are not uncommon, and should be considered for large systems, such as those containing doors that open or are large radiant heat applications. You'll also want to predict how long your system will operate without failure, so examine the amount of heater life you'll be needing. And because electricity costs money, take efficiency factors into account so your system will cost as little as possible to operate.

With these considerations in mind, carefully review them all to be sure you do, in fact, have definitive information to decide on a particular solution to your heating problem. Some of this supporting information may not be readily available or apparent to you. You may find it necessary to consult the reference tables and charts in this reference data section, or reference a book that deals with the particular parameter you need to define. At the minimum, the thermal properties of both the material(s) being processed/heated and their containing vessel(s) will be required.

Figuring a safety factor requires some intuition on your part. The list of possible influences can be great. From changing ambient operating temperatures, caused by seasonal changes, to a change in material or material temperature being processed, you must carefully examine all the influences.

Generally speaking, the smaller the system with fewer variables and outside influences---the smaller the safety factor. Conversely, the larger the system and the greater the variables and outside influences---the greater the safety factor.

Here are some general guidelines:

10% safety factor for small systems with closely calculated power requirements
20% safety factor is average
20% to 35% for large systems
The safety factor should be higher for systems that have production operations that contain equipment cycles subjecting them to excessive heat dissipations, e.g.: opening doors on furnaces, introducing new batches of material that can be of varying temperatures, large radiant applications and the like.

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