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Wind Power in Power Systems

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630 Impacts on <strong>Power</strong> System Dynamics<br />

This chapter discusses the impact of w<strong>in</strong>d power on power system dynamics. First, we<br />

present the concepts of power system dynamics and of transient and small signal<br />

stability, as well as the most important currently used w<strong>in</strong>d turb<strong>in</strong>e types. Then, we will<br />

study the impact of these w<strong>in</strong>d turb<strong>in</strong>e types and of various w<strong>in</strong>d farm <strong>in</strong>terconnection<br />

schemes on the transient stability of the power system. For this, we will analyse the<br />

response to disturbances, such as voltage and frequency changes. F<strong>in</strong>ally, we will deal<br />

with the impact of w<strong>in</strong>d power on the small signal stability of power systems and use<br />

eigenvalue analysis for this purpose.<br />

28.2 <strong>Power</strong> System Dynamics<br />

<strong>Power</strong> system dynamics <strong>in</strong>vestigates how a power system responds to disturbances that<br />

change the system’s operat<strong>in</strong>g po<strong>in</strong>t. Examples of such disturbances are frequency<br />

changes because a generator trips or a load is switched <strong>in</strong> or disconnected; voltage<br />

drops due to a fault; changes <strong>in</strong> prime mover mechanical power or exciter voltage, and<br />

so on. A disturbance triggers a response <strong>in</strong> the power system, which means that various<br />

properties of the power system, such as node voltages, branch currents, mach<strong>in</strong>e speeds<br />

and so on, start to change. The power system is considered stable if the system reaches a<br />

new steady state and all generators and loads that were connected to the system before<br />

the disturbance are still connected. The orig<strong>in</strong>al power system is considered unstable if,<br />

<strong>in</strong> the new steady state, loads or generators are disconnected.<br />

Two remarks must be made at this po<strong>in</strong>t. First, when a system is stable, the new<br />

steady state can either be identical to or different from the steady state <strong>in</strong> which the<br />

system resided before the disturbance occurred. This depends on the type of disturbance,<br />

the topology of the system and the controllers of the generators. Second, that a<br />

power system is unstable does not necessarily mean that a disturbance leads to a<br />

complete blackout of the system. Rather, the system’s topology is changed by protection<br />

devices that disconnect branches, loads and/or generators dur<strong>in</strong>g the transient phenomenon,<br />

<strong>in</strong> order to protect these. In most cases the changed system will be able to reach a<br />

new steady state, thus prevent<strong>in</strong>g a complete blackout. However, although the ‘new’<br />

system that results after the changes is stable, the ‘old’ system was unstable and stability<br />

has been rega<strong>in</strong>ed by chang<strong>in</strong>g the system’s topology.<br />

There are two different methods to <strong>in</strong>vestigate the dynamics of a power system <strong>in</strong><br />

order to determ<strong>in</strong>e whether the system is stable or not. The first method is time doma<strong>in</strong><br />

analysis. The type of time doma<strong>in</strong> analysis that we use here is also referred to as<br />

dynamics simulation, fundamental frequency simulation or electromechanical transient<br />

simulation (see also Chapter 24). This approach subjects the system to a disturbance<br />

after which its response (i.e. the quantitative evolution of the system’s properties over<br />

time) is simulated. In this way, it can be decided whether the system is stable or not. In<br />

the case of <strong>in</strong>stability, strategies can be designed to change the system’s topology <strong>in</strong> such<br />

a way that stability is rega<strong>in</strong>ed with m<strong>in</strong>imum consequences to loads and generators.<br />

The second method is frequency doma<strong>in</strong> analysis, also referred to as an analysis of the<br />

small signal properties of the system or as eigenvalue analysis. Frequency doma<strong>in</strong><br />

analysis studies a l<strong>in</strong>earised representation of the power system <strong>in</strong> a certa<strong>in</strong> state. The<br />

l<strong>in</strong>earised representation makes it possible to draw conclusions as to how the power<br />

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