Motor start

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Motor start

One or several motors can be tested at the same time, as the test of motor start is done for each motor separately.

Mandatory data for a calculation

ID of the motor (otherwise it cannot be identified at the start of the calculation)

Rated power (kW)

Rated power factor (cosfi)

Rated voltage (kW)

Efficiency factor (for instance 0.9)

Inrush current factor for motor start  (normally 5 – 6)

Select Motor start object.

Start a network calculation trace and select Advanced settings in the Network calculation form.

 

Check mark the motors to be part of the calculation (under Motor start objects).

 

Result presentation

The result is obtained as an extra report in the result archive.

 

Theory

Motor start

When starting an asynchronous motor a voltage drop obtained at the connection point of to the network. This voltage drop  can be calculated as follows.

 

Given data:

Pm

= Rated power (MW)

cosφm

= Rated power factor

Vm

= Rated voltage (kV)

hm

= Efficiency

Sm

= Pm / cosφm = Apparent rated power (MVA)

Im

= Sm / Vm = Rated power (kA)

Ist_vm

= Start-current (kA) at rated voltage, given as Stfac * Im / hm (where Stfac is a given factor)

 

The start current is assumed to be proportional towards the voltage, i.e.

(5.60)

Ist_v / Is_vm = Vm                                                                          

 

The relative change of voltage at the motor start can be calculated as:

 (5.61)

DV% = Ist_v * Zk / V * 100                                                            

 

where

 

Zk = Short circuit impedance of the network as seen from the connection point of the motor.

 

Insertion of (5.60) into (5.61) and extension with Sm / (Vm * Im) gives:

(5.62)

DV% = Sm / V²m / Zk * Ist_vm / Im * 100                                      

 

…or if the short-circuit power of the network is implemented at the rated voltage of the motor:

 

Sk_m = V²m / Zk, as seen from the connection point of the motor.

(5.63)

DV% = Sm / Sk_m * Ist_vm / Im * 100                                            

 

The absolute change of voltage is:

(5.64)

DVkV = DV% * V / 100                                                                      

…and the resulting voltage will be:

(5.65)

Vres = V (1 - DV% / 100)       (kV)