e the angle is taken in between the voltage and current. Is this classic explanation smart enough to sense you something about reactive power? That is why I thought about sharing something ease your mind regarding this manner.
Reactive power refers to the circulating power in the grid that does no useful work. This results from energy storage elements in the grid mainly from capacitors and inductors. Since it is a main part of voltage, it has a strong effect on the system voltages. Therefore, it must be well balanced in the system properly to prevent voltage issues and collapses. As we know, reactive power is present when the voltage and current are not in phase, which measured in volt-ampere reactive (so called VAR). Most of textbooks say it like this.
Here is a one mathematical model to understand the reactive power and its physical behaviours at a glance. Considering the instantaneous voltages and currents,
,
Using trigonometric we can modify this as,
In generally we call above two parts as instantaneous active power and instantaneous reactive power. As you can see in the graph, the active power oscillates around an average value while the reactive power oscillates around the zero axis. But it is not practical to work with instantaneous values as far as we can’t measure it. So they introduced the average power of the instantaneous power with rms values of V and I as,
This is the so-called active power equation that we have been already taught. Then what about the average power of reactive power? If you observed the equation carefully there is only a single sin term in the reactive power function. So the average reactive power is obviously zero. Then what is the reactive power measured in the industry as,
For the active power there exists a net flow from one point of the network to another. However, keep this in your mind. The zero average does not mean that no energy is flowing. The actual amount that is flowing for half a cycle in one direction is coming back in the next half a cycle.
Then what about the reactive power loss in the transmission lines? Well, as you already know, we cannot talk about a gain or loss in the reactive power scenario. This is just a loss in the amplitude of the instantaneous reactive power, which partially shares by the line impedance and other network elements. Therefore, the so-called loss in reactive power is not a real loss but rather a loss in the amplitude of the sending end reactive power. Reactive power does not travel very far. That’s why they ask to produce it close to the place where it is needed.
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