q1: Discussion of power quality aspects that need to be considered before installing the power factor correction unit

From the circuit given below, How can I find the value of load Z for the maximum power transfer and the maximum average power transferred?

1. Write down a formula for the three-phase power factor, assuming perfectly sinusoidal and symmetrical conditions, using line-line voltage measurements.   2. Write down a formula that relates three-phase apparent power to active and reactive power. 3. Draw a graph that depict single-phase waveforms for a purely sinusoidal 50 Hz voltage and a lagging current.

For the maximum average power transfer in the circuit shown in Figure 2, use the impedance ??.and ??Find the value of the maximum average power transferred to ? (Can you write the steps in detail in sentences?)

Discuss the concept of power factor in power systems, its significance, and methods to improve power factor in electrical systems.

A load is said to have a leading power factor. Is it capacitive or inductive? Is the reactive power positive or negative? Repeat for a load with lagging power factor.

Good evening, How do I approach this question involving the power factor and what equation do I use? Thank you.

Answer the Question on the picture and answer this question  SECOND QUESTION: what is the power factor of the circuits. Determing also whether it is lagging or leading.

What are the elements which contribute to the cost of the electricity? And discuss how the “load curves’ and ‘load duration curves’ can helpful in the economics of generation.