Line flows & Line Loss

Q. Consider two buses connected by an impedance of $(0+j5)\Omega$. The bus 1 voltage is $100\angle {30}^{\circ }V$, and bus 2 voltage is $100\angle 0^{\circ }V$. The real and reactive power supplied by bus 1, respectively are

1. 1000 W, 268 VAR
2. -1000 W, -134 VAR
3. 276.9 W, 56.7 VAR
4. -276.9 W, 56.7 VAR

Q. A single-phase load is supplied by a single-phase voltage source. If the current flowing from load to the source is $10\angle -{150}^{\circ }$ A and if the voltage at the load terminals is $100\angle {60}^{\circ }V$ then the

1. load absorbs real power and delivers reactive power.
   
2. load absorbs real power and absorbs reactive power
3. laod delivers real power and delivers reactive power.
   
4. laod delivers real power and absorbs reactive power .

Q. Objectives of load flow studies is /are

1. calculation of line losses for different power flow conditions.
2. Analyzing the effect of rearranging the circuit on the bus voltage and power flow.
3. Planning, expansion of system and introducing HVDC lines
4. Selecting the optimum setting of over- current relay.

Q. Statement:
In the following network, the voltage magnitudes at a buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1\Omega$

Q: The voltage phase angles in rad at buses 2 and 3 are

1. ${\theta }_2=-0.1,{\theta }_3=-0.2$
   
2. ${\theta }_2=0,{\theta }_3=-0.1$
3. ${\theta }_2=0.1,{\theta }_3=0.1$
4. ${\theta }_2=0.1,{\theta }_3=0.2$