Active and reactive power mean?

Very interesting question. I never expected a difference in power transmission in the conventional scheme and smart grids. Although, it is clear that high flexibility in transmission is achieved in smart grids. Let me also check and see what I can find

What is the frequency of power?Actually power travel through dielectric of Cable or lines as Electromagnetic wave where conductors acts as a wave guide.So consult wave guide for your problem.

The transferring time of electricity power is independent of network type (smart or not smart). This issue is relative to electron mobility and conductor material. This is not usually considered in power system studies.

I think that your mean is the data latency in communication infrastructure in smart grids. This topic is very important because the performance of the instruments and controllers are affected by it.

This topic is very different from your question.

While endorsing views of Mahdi Saadatmand and Madhab Roy, no matter through the smart or non-smart electric network when electricity flows with the speed of light when the conductor is bare conductor. However, in the case of cable it is bit slower, mathematically arrived or estimated at by dividing that speed by the square root of relative dielectric constant of cable insulation with respect to air.

thanks all for your help

using the electrical heat energy formula is not a bad idea.

Oluwatomisin Ajayi thank you very much

Transfer of Electrical Energy to any other form, be heat, or light, or as a matter of in any form, in fact is like cause and effect. Unfortunately, the transient state in such conversion will always be sluggish to reach steady-state. In some case it may be faster, like lighting / illumination, while for heating slower depending on the material characteristic. All these will determine respective response directly. But to measure from the same, transmission time of electricity will not only be an indirect method, but also cumbersome. Therefore, well-established method based on electro-magnetic and electro-static field used for the calculation of parameters of transmission line, like, inductance and capacitance, should be used to evaluate time constant for the wave propagation (as available in any basic book on fundamentals of Electrical Transmission System, taught in the Undergraduate curriculum in Electrical Engineering). Because of such calculation of inductance and capacitance for a bare conductor with air as the medium, electricity propagation time would come as the speed of light, i.e., 3X10 exp(8) m/sec in SI unit (speed of light in vacuum is exactly 299,792,458 m/sec by definition).