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• Overloading of lines<br />

• Increased system losses<br />

• Reduction in security margins<br />

• Contractual violations concerning power import/export<br />

• Increase in fault levels beyond equipment rating<br />

Typical power-flow inefficiencies and limitations encountered in modern power systems may be the<br />

result of one or more of the following:<br />

FIGURE 2.9.17 Typical discharge-current-limiting reactor connection.<br />

FIGURE 2.9.18 Typical high-voltage power-flow-control reactor connections.<br />

2.9.2.4 Discharge-Current-Limiting Reactors<br />

High-voltage series-capacitor banks are utilized in transmission systems to improve stability operating<br />

limits. Series-capacitor banks can be supplied with a number of discrete steps, insertion or bypass being<br />

achieved using a switching device. For contingencies, a bypass gap is also provided for fast bypass of the<br />

capacitors. In both cases, bypass switch closed or bypass gap activated, a discharge of the capacitor occurs,<br />

and the energy associated with the discharge must be limited by a damping circuit. A discharge-currentlimiting<br />

reactor is an integral part of this damping circuit. Therefore, the discharge-current-limiting<br />

reactor must be designed to withstand the high-frequency discharge current superimposed on the system<br />

power-frequency current. The damping characteristic of this reactor is a critical parameter of the discharge<br />

circuit. Sufficient damping can be provided as an integral component of the reactor design (de-Q’ing),<br />

or it can be supplied as a separate element (resistor). See Figure 2.9.17.<br />

2.9.2.5 <strong>Power</strong>-Flow-Control Reactors<br />

A more recent application of series reactors in transmission systems is that of power-flow control<br />

(Figure 2.9.18) or its variant, overload mitigation. The flow of power through a transmission system is<br />

a function of the path impedance and the complex voltage (magnitude and phase) at the ends of the<br />

line. In interconnected systems, the control of power flow is a major concern for the utilities, because<br />

unscheduled power flow can give rise to a number of problems, such as:<br />

• Nonoptimized parallel line impedances resulting in one line reaching its thermal limit well before<br />

the other line, thereby limiting peak power transfer<br />

• Parallel lines having different X/R ratios, where a significant reactive component flows in the<br />

opposite direction to that of the active power flow<br />

• High-loss line more heavily loaded than lower-loss parallel line, resulting in higher power-transfer<br />

losses<br />

• “Loop flow” (the difference between scheduled and actual power flow), although inherent to<br />

interconnected systems, can be so severe as to adversely affect the system reliability<br />

<strong>Power</strong>-flow-control reactors are used to optimize power flow on transmission lines through a modification<br />

of the transfer impedance. As utility systems grow and the number of interties increases, parallel<br />

operation of ac transmission lines is becoming more common in order to provide adequate power to<br />

load centers. In addition, the complexity of contemporary power grids results in situations where the<br />

power flow experienced by a given line of one utility can be affected by switching, loading, and outage<br />

conditions occurring in another service area. Strategic placement of power-flow reactors can serve to<br />

increase peak power transfer, reduce power-transfer loss, and improve system reliability. The paper, “A<br />

Modern Alternative for <strong>Power</strong> Flow Control, [4] provides a good case study. The insertion of high-voltage<br />

power-flow-control reactors in a low-impedance circuit allows parallel lines to reach their thermal limits<br />

simultaneously and hence optimize peak power transfer at reduced overall losses. Optimum system<br />

performance can be achieved by insertion of one reactor rating to minimize line losses during periods<br />

of off-peak power transfer and one of an alternative rating to achieve simultaneous peak power transfer<br />

on parallel lines during peak load periods or contingency conditions.<br />

Contingency overload-mitigation reactor schemes are used when the removal of generation sources<br />

and/or lines in one area affects the loading of other lines feeding the same load center. This contingency<br />

can overload one or more of the remaining lines. The insertion of series reactors, shunted by a normally<br />

closed breaker, in the potentially overloaded line(s) keeps the line current below thermal limits. The<br />

parallel breaker carries the line current under normal line-loading conditions, and the reactor is switched<br />

into the circuit only under contingency situations.<br />

2.9.2.6 Shunt Reactors (Steady-State Reactive Compensation)<br />

High-voltage transmission lines, particularly long ones, generate a substantial amount of leading reactive<br />

power when lightly loaded. Conversely, they absorb a large amount of lagging reactive power when heavily<br />

loaded. As a consequence, unless the transmission line is operating under reactive power balance, the<br />

voltage on the system cannot be maintained at rated values.<br />

reactive power balance = total line-charging capacitive VARs – line inductive VARs<br />

To achieve an acceptable reactive power balance, the line must be compensated for a given operational<br />

condition. For details of the definition of reactive power balance, refer to Section 2.9.3.3, <strong>Power</strong>-Line<br />

Balance. Under heavy load, the power balance is negative, and capacitive compensation (voltage support)<br />

is required. This is usually supplied by the use of shunt capacitors. Conversely, under light load, the<br />

power balance is positive, and inductive compensation is required. This is usually supplied by the use of<br />

shunt reactors.<br />

© 2004 by CRC Press LLC<br />

© 2004 by CRC Press LLC

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