Synchronous condenser

V curves for a synchronous machine. A synchronous condensor operates at nearly zero real power. As the machine passes from underexcited to overexcited, its stator current passes through a minimum.

A rotating coil [3] in a magnetic field tends to produce a sine-wave voltage. When connected to a circuit some current will flow depending on how the voltage on the system is different from this open-circuit voltage. Note that mechanical torque (produced by a motor, required by a generator) corresponds only to the real power. Reactive power does not result in any torque.

As the mechanical load on a synchronous motor increases, the stator current ${\displaystyle I_{a}}$ increases regardless of the field excitation. For both under and over excited motors, the power factor (p.f.) tends to approach unity with increase in mechanical load. This change in power factor is larger than the change in ${\displaystyle I_{a}}$ with increase in load.

The phase of armature current varies with field excitation. The current has larger values for lower and higher values of excitation. In between, the current has minimum value corresponding to a particular excitation (see graph on right). The variations of ${\displaystyle I}$ with excitation are known as ${\displaystyle V}$ curves because of their shape.

For the same mechanical load, the armature current varies with field excitation over a wide range and so causes the power factor also to vary accordingly. When over-excited, the motor runs with leading power factor (and supplies vars to the grid) and when under-excited with lagging power factor (and absorbs vars from the grid). In between, the power factor is unity. The minimum armature current corresponds to the point of unity power factor (voltage and current in phase).

As in a synchronous motor, the stator of the machine is connected to a three-phase supply of voltage ${\displaystyle V_{s}}$ (assumed to be constant), and this creates a rotating magnetic field within the machine. Likewise, the rotor is excited with a DC current ${\displaystyle I_{e}}$ to act as an electromagnet. In normal operation the rotor magnet follows the stator field at synchronous speed. The rotating electromagnet induces a three-phase voltage ${\displaystyle V_{g}}$ in the stator windings as if the machine were a synchronous generator. If the machine is considered to be ideal, with no mechanical, magnetic, or electrical losses, its equivalent circuit will be an AC generator in series with the winding inductance ${\displaystyle L}$ of the stator. The magnitude of ${\displaystyle V_{g}}$ depends on the excitation current ${\displaystyle I_{e}}$ and the speed of rotation, and as the latter is fixed, ${\displaystyle V_{g}}$ depends only on ${\displaystyle I_{e}}$. If ${\displaystyle I_{e}}$ is critically adjusted to a value ${\displaystyle I_{\text{e0}}}$, ${\displaystyle V_{g}}$ will be equal and opposite to ${\displaystyle V_{s}}$, and the current in the stator ${\displaystyle I_{s}}$ will be zero. This corresponds to the minimum in the curve shown above. If, however, ${\displaystyle I_{e}}$ is increased above ${\displaystyle I_{\text{e0}}}$, ${\displaystyle V_{g}}$ will exceed ${\displaystyle V_{s}}$, and the difference is accounted for by a voltage ${\displaystyle V_{1}}$ appearing across the stator inductance ${\displaystyle L}$: ${\displaystyle V_{L}=I_{s}X_{L}}$ where ${\displaystyle X_{L}}$ is the stator reactance. Now the stator current ${\displaystyle I_{s}}$ is no longer zero. Since the machine is ideal, ${\displaystyle V_{g}}$, ${\displaystyle V_{L}}$ and ${\displaystyle V_{s}}$ will all be in phase, and ${\displaystyle I_{s}}$ will be entirely reactive (i.e. in phase quadrature). Viewed from the supply side of the machine's terminals, a negative reactive current will flow out of the terminals, and the machine will therefore appear as a capacitor, the magnitude of whose reactance will fall as ${\displaystyle I_{r}}$ increases above ${\displaystyle I_{\text{s0}}}$. If ${\displaystyle I_{e}}$ is adjusted to be less than ${\displaystyle I_{\text{e0}}}$, ${\displaystyle V_{s}}$ will exceed ${\displaystyle V_{g}}$, and a positive reactive current will flow into the machine. The machine will then appear as an inductor whose reactance falls as ${\displaystyle I_{e}}$ is reduced further. These conditions correspond to the two rising arms of the V-curves (above). In a practical machine with losses, the equivalent circuit will contain a resistor in parallel with the terminals to represent mechanical and magnetic losses, and another resistor in series with the generator and L, representing copper losses in the stator. Thus in a practical machine ${\displaystyle I_{s}}$ will contain a small in-phase component, and will not fall to zero.

An over-excited synchronous motor has a leading power factor. This makes it useful for power-factor correction of industrial loads. Both transformers and induction motors draw lagging (magnetising) currents from the line. On light loads, the power drawn by induction motors has a large reactive component and the power factor has a low value. The added current flowing to supply reactive power creates additional losses in the power system. In an industrial plant, synchronous motors can be used to supply some of the reactive power required by induction motors. This improves the plant power factor and reduces the reactive current required from the grid.

A synchronous condenser provides step-less automatic power-factor correction with the ability to produce up to 150% additional vars. The system produces no switching transients and is not affected by system electrical harmonics (some harmonics can even be absorbed by synchronous condensers). They will not produce excessive voltage levels and are not susceptible to electrical resonances. Because of the rotating inertia of the synchronous condenser, it can provide limited voltage support during very short power drops.

The use of rotating synchronous condensers was common through the 1950s. They remain an alternative (or a supplement) to capacitors for power-factor correction because of problems that have been experienced with harmonics causing capacitor overheating and catastrophic failures. Synchronous condensers are also useful for supporting voltage levels. The reactive power produced by a capacitor bank is in direct proportion to the square of its terminal voltage, and if the system voltage decreases, the capacitors produce less reactive power, when it is most needed, while if the system voltage increases the capacitors produce more reactive power, which exacerbates the problem. In contrast, with a constant field, a synchronous condenser naturally supplies more reactive power to a low voltage and absorbs more reactive power from a high voltage, plus the field can be controlled. This reactive power improves voltage regulation in situations such as when starting large motors, or where power must travel long distances from where it is generated to where it is used, as is the case with power wheeling, the transmission of electric power from one geographic region to another within a set of interconnected electric power systems.

Synchronous condensers may also be referred to as Dynamic Power Factor Correction systems. These machines can prove very effective when advanced controls are utilized. A PLC based controller with PF controller and regulator will allow the system to be set to meet a given power factor or can be set to produce a specified amount of reactive power.

On electric power systems, synchronous condensers can be used to control the voltage on long transmission lines, especially for lines with a relatively high ratio of inductive reactance to resistance.[4]

• Static synchronous compensator
• Static VAR compensator
• Unified power flow controller

Wikimedia Commons has media related to Synchronous condensers.

• A Short Course on Synchronous Machines and Synchronous Condensers