Problems solving in electrical engineering (Theoretical Foundations of Electrical Engineering), circuit analysis (Foundations of Circuit Analysis) and electronics
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Theoretical foundations of electrical engineering

Three-phase circuits

Given


Find
ZA, ZC (on condition of the currents balance) — ?
UAB,UBC,UCA — ?
Construct topographic diagram of voltages — ?
Construct vector diagram of currents — ?

Solution

Calculation of Three-phase circuits

Write down phase B resistance in visual form:
Calculation of Three-phase circuits

Find the current in the phase B:


From the condition of the currents balance follows that currents in A and C phases coincide on the module with the current in the phase B and differ from it at 120o:
Problems on calculation of Three-phase circuits

Knowing currents and voltages in phases, we find phases resistances:
Problems on calculation of Three-phase circuits

Write down phase voltages of the system in algebraic form:
Problems on calculation of Three-phase circuits

Line voltages of the system:
Problems on calculation of Three-phase circuits

Topographic diagram of voltages:


Vector diagram of currents:


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