![]() ![]() Also, the series resistance and shunt admittance of the lines are neglected.SOLUTION The circuit is shown in Figure 1.a. Assume that the regulating transformer is ideal. Determine the 2 × 2 bus admittance matrix when the regulating transformer (a) provides a 0.05 per-unit increase in voltage magnitude toward bus a′b′c′ and (b) advances the phase 3° toward bus a′b′c′. A regulating transformer is placed in series with line L1 at bus a′b′c′. What value of phase shift minimizes the system losses?EXAMPLE 1 Voltage-regulating and phase-shifting three-phase transformersTwo buses abc and a′b′c′ are connected by two parallel lines L1 and L2 with positive-sequence series reactances XL1 = 0:25 and XL2 = 0:20 per unit. ![]() With the LTC tap fixed at 1.05, plot the real power losses as the phase shift angle is varied from −10 to +10 degrees. Since the system is no longer lossless, a field showing the real power losses has also been added to the one-line. By Power System Analysis and Design (5th Edition) Edit edition Solutions for Chapter 3 Problem 60P: PowerWorld Simulator case of this Problem duplicates Example 1 except that a resistance term of 0.06 per unit has been added to the transformer and 0.05 per unit to the transmission line.
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