Phase Shifting Transformer Theory Pdf
Phase Shifting Transformers: Principles and Applications. A classification is made based on the symmetrical or asymmetrical and on the direct or indirect character of the PST. As a case-study, the PST's in Meeden, The Netherlands are studied more profoundly. Furthermore, a model is developed on a real-time digital simulator (RTDS) in order to demonstrate the capabilities of the PST. Phase Shift Transformer In this type of transformer, a laminated silicon steel stator consisting of either two phase or three phase winding similar to that in case of induction motor. A typical drysdale phase shifting transformer is shown in the Fig. Phase shifting transformers tutorials pdf download links Phase-shifting transformers help control the real power flow in transmission lines and systems interties. It is beneficial to use phase-shifting transformers in the protection of lines and transformers. Download psp games for ppsspp. A phase angle regulating transformer, phase angle regulator (PAR, American usage), phase-shifting transformer, phase shifter (West coast American usage), or quadrature booster (quad booster, British usage), is a specialised form of transformer used to control the flow of real power on three-phase electric transmission networks. Three Phase Transformer Winding Configurations and Differential Relay Compensation Larry Lawhead, Randy Hamilton, John Horak Basler Electric Company Most engineers have some familiarity with two commonly known delta connections that give either a +30 0 or - 30 phase shift of positive sequence voltages and currents, and just these two. Phase Shifting Transformer Classical design PST Two-tank design Two-core design n1200MVA, 400kV, 50Hz n± 24° no load (±16 taps); n 16.6° at rated load - extreme advance n-5.3° at rated load - mid tap (0) n-31.4° at rated load - extreme retard nuk: 9.25% Tap 0; 13.0% Tap 32 nNoise power level.
A phase angle regulating transformer, phase angle regulator (PAR, American usage), phase-shifting transformer, phase shifter (West coast American usage), or quadrature booster (quad booster, British usage), is a specialised form of transformer used to control the flow of real power on three-phaseelectric transmission networks.
For an alternating current transmission line, power flow through the line is proportional to the sine of the difference in the phase angle of the voltage between the transmitting end and the receiving end of the line.[1] Where parallel circuits with different capacities exist between two points in a transmission grid (for example, an overhead line and an underground cable), direct manipulation of the phase angle allows control of the division of power flow between the paths, preventing overload.[2] Quadrature boosters thus provide a means of relieving overloads on heavily laden circuits and re-routing power via more favorable paths.
Alternately, where an interchange partner is intentionally causing significant 'inadvertent energy' to flow through an unwilling interchange partner's system, the unwilling partner may threaten to install a phase shifter to prevent such 'inadvertent energy', with the unwilling partner's tactical objective being the improvement of its own system's stability at the expense of the other system's stability. As power system stability—hence reliability—is really a regional or national strategic objective, the threat to install a phase shifter is usually sufficient to cause the offending system to implement the required changes to its own system to greatly reduce or eliminate the 'inadvertent energy' flowing through the offended system.
The capital cost of a quadrature booster can be high: as much as four to six million GBP (6–9 million USD) for a unit rated over 2 GVA. However, the utility to transmission system operators in flexibility and speed of operation, and, more particularly, facilitating economic dispatch of generation, can soon recover the cost of ownership.
Method of operation[edit]
By means of a voltage derived from the supply that is first phase-shifted by 90° (hence is in quadrature), and then re-applied to it, a phase angle is developed across the quadrature booster. It is this induced phase angle that affects the flow of power through specified circuits.
Arrangement[edit]
A quadrature booster typically consists of two separate transformers: a shunt unit and a series unit. The shunt unit has its windings connected across the phases, so it produces output voltages shifted by 90° with respect to the supply. Its output is then applied as input to the series unit, which, because its secondary winding is in series with the main circuit, adds the phase-shifted component. The overall output voltage is hence the vector sum of the supply voltage and the 90° quadrature component.
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Tap connections on the shunt unit allow the magnitude of the quadrature component to be controlled, and thus the magnitude of the phase shift across the quadrature booster. The flow on the circuit containing the quadrature booster may be increased (boost tapping) or reduced (buck tapping). Subject to system conditions, the flow may even be bucked enough to completely reverse from its neutral-tap direction.
Illustration of effect[edit]
The one-line diagram below shows the effect of tapping a quadrature booster on a notional 100 MW generator-load system with two parallel transmission lines, one of which features a quadrature booster (shaded grey) with a tap range of 1 to 19.
In the left-hand image, the quadrature booster is at its centre tap position of 10 and has a phase angle of 0°. It thus does not affect the power flow through its circuit and both lines are equally loaded at 50 MW. The right-hand image shows the same network with the quadrature booster tapped down so as to buck the power flow. The resulting negative phase angle has diverted 23 MW of loading onto the parallel circuit, while the total load supplied is unchanged at 100 MW. (Note that the values used here are hypothetical; the actual phase angle and transfer in load would depend upon the parameters of the quadrature booster and the transmission lines.)
The intended effect is opposite: equalizing power on lines where naturally one would be heavily loaded and one would be lightly loaded.
See also[edit]
References[edit]
- Bibliography
- Weedy, D. (1988). Electrical Power Systems. Wiley. ISBN978-0-471-97677-6.
- Guile, A. Paterson, W. (1977). Electrical Power Systems vol 1. Pergamon. ISBN978-0-08-021729-1.CS1 maint: multiple names: authors list (link)
- Notes
- ^The 'equal area criteria' for power system stability requires that this angle be less than 90 degrees, so for practical purposes this angle will be measurably less than 90 degrees.
- ^Weedy, B. M. (1972), Electric Power Systems (Second ed.), London: John Wiley and Sons, pp. 127–128, ISBN978-0-471-92445-6
External links[edit]
Phase Shifting Transformer Theory Pdf Diagram
- Phase Shifting Transformers: Principles and Applications (overview article and a case study)
- Phase Shifting Transformers: Principles and Applications (Book by John Winders, CRC Press, Apr 12, 2002)