PowerSystem Stability

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    Power System StabilityStability: The stability of a system refers to the ability of a system to return back to its steady state

    when subjected to a disturbance.

    Power System Stability: The power system stability is the property of the system which enables

    the synchronous machines of the system to respond to a disturbance from a normal operating

    condition so as to return to a condition where their operation is again normal.

    The electrical power is generated by synchronous generators that operate in synchronism with the

    rest of the system. A generator is synchronized with a bus when both of them have same frequency,

    voltage and phase sequence. We can thus define the power system stability as the ability of the

    power system to return to steady state without losing synchronism.

    Classification of Power System Stability

    Depending upon the nature and order of magnitude of the disturbance, power system stabilities are

    three types: Transient stability, dynamic stability, and steady-state stability.

    Transient Stability: Transient stability involves the study of the power system following a majordisturbance.

    Transient stability studies constitute the major analytical approach to the study of power system

    electro-dynamical dynamic behavior.

    Transient stability studies are aimed at determining if the system will remain in synchronism

    following major disturbances such as transmission system faults, sudden load changes, loss of

    generating units, or line switching.

    Following a large disturbance the alternator (synchronous generator) power (load, or torque) angle

    changes due to sudden acceleration/deceleration of the rotor shaft. Thus, the amin objective of the

    transient stability study is to ascertain whether or not the load angle returns to a steady value

    following the clearance of the disturbance.

    Transient Stability problems can be subdivided into(i) First-swing stability problem: This is based on a reasonably simple generator model without

    representation of control systems. Usually the time period under study is thefirst secondfollowing

    a system fault. If the machines of the system are found to remain synchronism within the first

    second, the system is said to be stable.

    (ii) Multiswing stability problem: This stability problems extend over a longer study period and

    therefore must consider effects of generator control systems which affect machine performance

    during the extended time period.

    Dynamic (or small-signal) Stability: The ability of a power system to maintain stability under

    continuous small disturbances is investigated under the name of dynamic stability (also known as

    small-signal stability). These small disturbances occur due random fluctuations in loads andgeneration levels.

    Steady-State Stability: Steady state stability studies are restricted to small and gradual changes in

    the system operating conditions. In this we basically concentrate on restricting the bus voltages

    close to their nominal values. We also ensure that phase angles between two buses are not too large

    and check for the overloading of the power equipment and transmission lines.

    The dynamic and steady-state stability problems are same in nature. They differ only in the degree

    of detail used to model the machines.

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    In the dynamic stability studies, the excitation system and turbo-governing system are represented

    along with synchronous machine models which provide for flux-linkage variation in the machine

    air-gap.

    In the steady-state stability problems use a vary simple generator model which treats the generator

    as a constant voltage source.

    In all stability studies, the main objective is to determine whether or not the rotors of the machine

    being perturbed return to constant speed operation.