Determining Optional External Regen Resistor Size

Power

The following is the procedure for calculating the power dissipated by the Regen

Dissipation

resistor in a simple system wherein friction is negligible. Ignoring friction in the

Calculation

following calculations gives worst case results since friction will absorb a portion of

Procedure

the energy during deceleration. An example of each step in this procedure is

 

provided later in this chapter.

 

 

 

 

 

 

 

Step

Action

 

 

 

 

 

 

 

 

1

Plot speed versus time and torque versus time for the entire move cycle.

 

 

 

(Magnitude of the torque is not required; only the direction is required.)

 

 

 

 

 

 

2

Identify each section of the plot where the drive is decelerating the load or

 

 

 

where speed and torque have opposite signs.

 

 

 

 

 

 

3

Calculate the energy returned to the drive in each deceleration using the

 

 

 

formula E = ½ J t ω2

 

 

 

 

Where

 

 

 

 

 

E = Energy in joules

 

 

 

Jt = Total system inertia, including motor, in kg(m2)

 

 

 

ω = Speed at start of deceleration in radians per second

 

 

 

= 2 π RPM / 60)

 

 

 

 

 

 

4

Compare the energy in each deceleration with the energy required to turn

 

 

 

on the Regen circuit. (See Drive Energy Absorption Capability table.) If the

 

 

 

energy is less than that listed in the table, disregard that deceleration for

 

 

 

the remainder of the calculations.

 

 

 

 

 

 

5

Calculate the energy dissipated by the Regen resistor by subtracting the

 

 

 

energy listed in the table from the energy of the deceleration.

 

 

 

E

= E

– E

 

 

 

dissipated

generated

absorbed by capacitors

 

 

 

 

 

 

6

Calculate the pulse power of each deceleration by dividing the dissipated

 

 

 

energy by the time of the deceleration.

 

 

 

Ppulse = Edissipated / Tdecel (seconds)

 

 

7

Calculate the continuous power dissipated by the Regen resistor by

 

 

 

totaling all the dissipated energy and dividing it by the total cycle time.

 

 

 

Pcontinuous = (E1dissipated + E2dissipated+… +En dissipated) / Ttotal cycle (seconds)

 

 

 

 

 

 

 

 

 

 

 

Continued on next page

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Schneider Electric 17S Series manual Determining Optional External Regen Resistor Size, Power, Calculation

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