The subject of the research is mine section electric system. Low-voltage mine section electric system contains circuit breakers, magnetic contactors switches, asynchronous motors (AM) and cables [1].
The objective of this work is to discover the character and parameters of the short-circuit process in electrotechnical complex of a technological mine section with the view of influence of back electromotive force (EMF) of asynchronous motors.
The mathematical model structure of electrotechnical complex of technological mine section during asynchronous motors running-down after shutoff protection founded.
The electric diagram in Figure 1 shows possible energy flows to the fault point after electric system shutoff protection. On this figure AB is automatic circuit breaker; КМ is magnetic contactor switch; M is asynchronous motor.

Short-circuit process is represented by interchangeable conditions:
The electric diagram in Figure 2 shows equivalent electrotechnical complex with tree-phase fault between in-feed source and asynchronous motor [2].

Equation of phase-voltage of short-circuited section:
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(1) |
Solution of this equation:
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(2) |
к
- current displacement angle in regard to the voltage in this circuit;
- short-circuit switching-on phase; Тa(u)=xк /
(
rк ) - short-circuit time constant – parameter
of damping rate of short-circuit free current component exponent from transformer.
This equation describes processes in section from asynchronous motor to fault point:
| iк(н) rн + Lн diк(н) / dt=0 | (3) |
The solution of this equation with regard to the current:
| iк(н) = ia(t=0) exp( - t / Ta(н) ) | (4) |
Current iк(н) is free and damps with time constant:
Ta(н) = xн / ( rн ) |
(5) |
Total current in the fault point on the interval from short circuit occurrence to shutoff protection by circuit breakers is:
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(6) |
The electric diagram in Figure 3 shows equivalent electrotechnical complex with the view of influence of back electromotive force of asynchronous motors.

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(7) |
where р – number of magnetic flows pairs of asynchronous motors; is и ir – current of stator and rotor; L0 – main magnetic field inductance counting on asynchronous motors phase; А – phase “A” index.
The mathematical model structure of mine section electrotechnical system during asynchronous motors running-down after emergency shutoff protection was founded and analyzed. This model insures determination of motor back electromotive force effect on the short-circuit current in case of emergency.