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3. Series Compensation. In the previous problem, replace the SSSC with two fixed capacitors provid ...
3. Series Compensation. In the previous problem, replace the SSSC with two fixed capacitors providing a total XC?=X/2. Arrangement of the capacitors will be as discussed in the class. What is the highest voltage magnitude along the line? What if there are four capacitors with the same total XC? ? Find the general expression for n capacitors providing a total XC?=kX, 0<k<1.
Series compensation is a technique used in power systems to increase the power transfer capability and improve the stability of the system. In this technique, capacitors are inserted in series with the transmission line to compensate for the line inductance. The Static Synchronous Series Compensator (SSSC) is a type of series compensator that uses a voltage source converter to inject a controllable voltage in series with the transmission line.Now, coming to the problem at hand, let's first consider the case where the SSSC is replaced by two fixed capacitors providing a total arranged as discussed in the class. In this case, the total reactance of the compensating capacitors is Xc, which is equal to half of the reactance provided by the SSSC in the previous problem. Therefore, the new impedance of the line is: