Write some notes for the gauss-seidel method, Electrical Engineering

Assignment Help:

Write Some Notes for the Gauss-Seidel Method?

1.  Equation below is used to calculate the voltage at each busbar in turn, always using the most up to date values for the other busbar voltages. For most systems, the voltages will gradually converge although there are ill conditioned systems in which this convergence fails.

2326_Write Some Notes for the Gauss-Seidel Method.png

2. When using above equation, remember that (Pk - j Qk) is the power flowing into node   k (generation).    For power flowing out of the node (loads), it is represented by negative power [i.e.  - (Pk - j Qk)].

3.  In the calculation, successively more accurate values of busbar voltage are found. At some stage it is necessary to stop the iterative process as sufficient accuracy has been secured. One may chose to stop the process when no bus voltage changes by more than 0.1% in per unit terms. The calculated voltages are then applied to the network to work out the active and reactive power powers at all busbars.

4.  The Gauss-Seidel method is at times slow to  converge and an acceleration factor can often be usefully applied. The change to the bus voltage in complex form is calculated and then multiplied by an acceleration factor before the new bus voltage value is calculated. The acceleration factor may range up to 2 and is largely a function of the network.  A value of 1.6 is widely used. If a value less than 1.0 is chosen, this may help an otherwise divergent system to converge.

5.  In order to apply the method one of the generator busbars must be specified as having a fixed voltage with the power unknown. This is referred to as the reference or slack busbar and takes up power which is equal to the difference between the specified generation and the sum of the loads plus losses.

6. At any busbar, the active power (P) and reactive power (Q) may be specified and the voltage magnitude and angle are calculated. Such busbar is termed a PQ busbar. If the active power and voltage magnitude are specified, the reactive power and voltage angle are calculated. Such a busbar is known as a PV busbar and is appropriate for generation busbar. 

7.  The Gauss-Seidel method is simple in approach, however, other methods that offer certain advantages are available such as the Newton-Raphson method and the fast decoupled load flow. The latter is almost an industry standard.


Related Discussions:- Write some notes for the gauss-seidel method

Weighted-resistor converter, Q. WEIGHTED-RESISTOR CONVERTER? Figure sho...

Q. WEIGHTED-RESISTOR CONVERTER? Figure shows a 4-bit weighted-resistor D/A converter which includes a reference voltage source, a set of four electronically controlled switches

Explain graphics adapters, Explain graphics adapters. Video card conve...

Explain graphics adapters. Video card converts digital output by the computer in an analog video signal and sends the signal by a cable to the monitor also termed as a graphic

Explain load flow analysis, Explain Load Flow Analysis The method commo...

Explain Load Flow Analysis The method commonly used for load flow analysis is the nodal analysis. The nodal analysis method is given in many books on circuit theory and is base

Examples of attribute data relevant for a power utility, Examples of attrib...

Examples of attribute data relevant for a power utility: Examples of attribute data relevant for a power utility are given below. •          Consumer data such as categor

Magnetic contactor, how to wire a three phase contactor to become a single ...

how to wire a three phase contactor to become a single phase contactor?

Operation - unijunction transistor, Operation - unijunction transistor: ...

Operation - unijunction transistor: Operation : Imagine that the emitter supply voltage is turned biased and a small emitter reverse current flows. Then the intrinsic stand

Dc machine, why very high resistance wire is used is field windind and low ...

why very high resistance wire is used is field windind and low resistance wire is used in armature winding in DC shunt machine?

Wave anlysers, Operation of heterodyne wave analyzer with block diagram

Operation of heterodyne wave analyzer with block diagram

Determine maximum length for cable, You have been asked to help on the desi...

You have been asked to help on the design of CDU's new electric vehicle. The vehicle is to be powered by a 96V, 300A battery pack and you need to decide on the maximum length you c

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd