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WIND POWER MANAGEMENT    269


                       must be overcome. The following are a number of measures used to regulate and
                       stabilize wind energy production.

                       GRID COMPATIBILITY

                       In general, wind turbine generators designed for electrical power production require
                       reactive power for excitation. However, the reactive power shifts current and voltage
                       phase angles, which results in a loss of power production. The cosine of the shifted
                       angle, which is referred to as the power factor p, is a multiplier that varies from 0 to 1.
                       Electrical power output from generators is expressed as E = V (voltage) × I (current) ×
                       cos(p). It is at a maximum when p = 0 because cos(0) = 1, which make E = V × I. Thus,
                       at the zero angle [cos(0)], the unity power factor is achieved. In order to reach the unity
                       power factor, the output of the generators is connected to large banks of capacitors that
                       reduce the phase angle to achieve this goal. Since various types of wind turbine genera-
                       tors have unique power-output performance profiles, they could create transmission grid
                       disturbances. In order to resolve this problem, manufacturers of wind turbines make use
                       of extensive modeling of dynamic electromechanical characteristics with each wind
                       farm. The modeling allows transmission-system operators to control the power output of
                       the generators, ensuring predictable and stable power-output performance.
                         Unlike steam or hydroelectric power turbine-driven synchronous generators, wind
                       turbines incorporate power-factor-correction capacitors along with electronic control
                       of circuitry, which stabilizes power-output resonance. Wind turbines, referred to as
                       doubly fed machines, deploy solid-state converters between the turbine generator and
                       the collector system, making them suitable for grid interconnection. As a rule, grid
                       transmission providers’ supply wind farm developers with a specific grid code that
                       specifies power factor, frequency stability, and dynamic characteristics of the wind
                       farm turbines during a system fault.

                       CAPACITY FACTOR

                       In view of the fact that wind speed is never constant, a wind farm’s annual energy
                       production cannot match the generator’s expected yearly nameplate ratings output. As
                       a result, a multiplier known as the capacity factor is used to adjust the total annual
                       hourly power production. The multiplier is the ratio of actual power productivity in a
                       year and its theoretical maximum.
                         Typical capacity factors of wind turbines range from 20 to 40 percent. Upper values
                       represent maximum power production for most favorable installation sites. As an
                       example, a 2-MW turbine with a capacity factor of 30 percent will produce only
                       0.30 × 2 × 24 × 365 = 5256 MW per year as opposed to 17,520 MW.
                         The capacity factor essentially accounts for power-production limits that are inherent
                       properties of wind. Capacity factors for other types of power plants, such as gas and
                       hydroelectric power-generation systems, reflect the amount of downtime required for
                       maintenance. For example, most nuclear plants that run full time at maximum output
                       capacity have a capacity factor of 90–95 percent.
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