For reducing the power required to drive the compressor, or to increase its capacity, humidification of the inlet air can be much more effective than merely cooling it with a refrigeration coil. A low degree of humidification is about equivalent to using a cooling coil only. All of the water is evaporated before it enters the compressor. A higher degree known as overspray allows liquid water to enter the compressor in very small droplets. This method not only cools the inlet air but takes advantage of the high latent heat of vaporization of the liquid water. As it passes through the compressor it evaporates, reducing the temperature rise of the air/water mixture and therefore the power required to compress it. The main disadvantage of humidification systems is that they require pure water to avoid damage to the compressor and turbine blades. I have heard of desperate operators injecting water into the compressor inlet air with a fire hose to get more power out of their turbine. This will work a few times, but bad water and big droplets will destroy the gas turbine before long.
The earliest article I have found about overspray is "Value of Wet Compression in Gas-Turbine Cycles" by R.V Kleinschmidt, MECHANICAL ENGINEERING, vol. 69, 1947, pp. 115-116. The ultimate technology in this field is the hydraulic compressor. It compresses a gas such as air with a flow of water. It is the closest thing to an isothermal compressor that I know of. Those wanting an introduction to this device should read "Marmy Snorkels Some Green Stuff", one of the Marmaduke stories by Steve Elonka in POWER. I am sorry I don't know the edition of the magazine in which this story was published, but it is circa 1960. An Israeli company claims to have invented an isothermal compressor using a proprietary sealing technique in a vane compressor. They are not generous with details, however. Search under "isothermal compressor" on the web.
Caldwell Energy is one manufacturer of inlet air cooling systems.
An arrangement in which an isothermal compressor supplies compressed air to a recuperated gas turbine would be as efficient as a combined cycle plant. It would also be much simpler. General Electric was awarded U.S. Pat. 4,569,194 in 1986 for an application of this technology. There are several other patents in this field. I suggest that the technology of isothermal air compression will become widespread before long, because it can substantially increase the efficiency of both power generation and power use.