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# Decisions on the control SOC. OPTION № 012. SZTU

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**05.11.2012**

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# Description

The decision tasks the control work on TBE "Stationary processes in linear electric circuits" Option number 012.

Non tasks embodiment №4: 1, 2, 3, 5, 6, 8.

Terms problems:

Objective 1

DC circuit with a source of electromotive force shown in Fig. 1.1. Parameters resistive elements, the value of emf E and the circuit embodiment are shown in Table. 1.1.

It is required to determine all the currents in the resistive components and test results obtained by the first or second law of Kirchhoff.

Task 2

Driving an electric circuit (Fig. 2.1) consists of series-connected active R and reactive X resistances.

Required to determine the parameters R and X, and L, and C of the circuit using an additional resistor R1, the value of which is known only ammeters and voltmeters, or only electromagnetic system. F frequency power supply circuit is known.

The data for these calculations are presented in Table.

Objective 3

By the electrical circuit containing a known resistance R, inductance L and capacitance C (Fig. 3.1), a sinusoidal voltage is applied, the current value is U. The frequency of the power supply circuit is known f.

It is required to determine a) Integrated RMS current 1 İ in a straight part of the chain, as well as comprehensive operating currents 2 and 3 İ İ in parallel circuit branches; b) active P, reactive Q and S full capacity throughout the chain. The problem solved by the symbolic.

The data for the calculation are shown in Table. 3.1.

Objective 5

Extensive electrical circuit sinusoidal current, shown in Fig. 5.1 (scheme 1-5), contains two sources of EMF 1 Ė, Ė 1 and one current source J. Options sources and resistance of all branches of the chain are known.

Wanted: a) to convert the current source in the equivalent source of EMF; b) set up a system of equations for the currents in all branches of the circuit directly using the 1st and 2nd Kirchhoff's laws; c) to record the resulting system of equations in matrix form.

The data for the calculation are shown in Table. 5.1

Task 6

Extensive electrical circuit sinusoidal current, shown in Fig. 5.1 (see. The previous problem), contains two sources of EMF: 1 Ė, Ė 2 and one current source J. Options sources and resistance of all branches known.

Wanted: a) create a system of equations to determine the loop current; b) set up a system of equations to determine all the node voltages; d) write, how to determine the currents in the branches, if you know the current contour if known node voltages.

The data for the solutions shown in Table. 5.1.

Target 8

Three-phase circuit (Fig. 8.1) consists of a three-phase generator generating phase symmetrical system EMF Eph and symmetrical active (lighting) load. The circuit has a neutral wire.

Each student explores two modes of connection: a) symmetric mode in which the resistance of all phases of the same ZA = ZB = ZC = R, and the resistance of the neutral conductor ZN = 0; b) one of asymmetric modes chain (see Table 8.1.), in which one of the phase resistance of the receiver is off or shorted. For each of these modes requires a separate draw a circuit diagram according to the selected setting option.

Define:

1) complete operating currents and voltages of all three phases of the receiver and the voltage between the neutral currents of the generator and the receiver;

2) indication of ammeter and voltmeter electromagnetic system included in the chain;

3) to construct a vector diagram of currents and voltages chain;

4) How is the ammeter and voltmeter readings at a given asymmetric mode of operation as compared to symmetric

Data for calculations are given in Table. 8.2.

# Additional information

The task by teachers Northwestern State Technical University (SZTU).

Solutions containing drawings and explanations in PDF.

Theoretical Foundations of Electrical Engineering. Stationary processes in linear electric circuits. (SZTU). St. Petersburg 2008

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