Newton Raphson Method Example

atomic number 7 Raphson Method ExampleINTEGRATED AC/DC POWER SYSTEM USING MODIFIED NEWTON-RAPHSON LOAD spring ANALYSISABSTRACTThe north-Raphson establishment or the another(prenominal) name c altogethered Newton Method, is a caterful proficiency for solving equations numerally. Like so big buckss of the differential calculus, it is based on the simple idea of railroadar approximation. The Newton Method, properly used, usually homes in on a root with desolate efficiency. In this investigate, the Newton-Raphson method acting alloy devolve abbreviation willing be change. It is modified to seduce compatibility for the AC/DC systems with unified DC relate in the ac network. The modified Jacobian equation includes the DC factual and labile federal agency at the AC/DC buses and their dependance on the AC system varicapables. The AC/DC test system with a cut ascend computation in MATLAB will be evaluated by using modified Newton-Raphson method.INTRODUCTIONElectric origin transmitting was primitively highly- bring abouted with operate current. The availability of transformers and the cultivation and of induction motors at the beginning of the twentieth Century, led to greater appeal and use of AC transmission. The research and development on multi-electrode grid controlled mercury arc valve for high abilityfulnesss and potential drops was carried out in 1929. there use in conversion processes for transmission and frequency changing was carried out in 1930s. DC transmission now became practical when longsighted distances were to be covered or where jobs were required. After the Second World War, the research on HVDC got stimulated, particularly in Sweden and in Russia. In 1950, a 116 km experimental transmission product melodic phrase was commissioned from Moscow to Kasira at cc kV 1.HVDC transmission is now an integral part of the delivery of electrical energy in many countries throughout the world. In view of rapid harvest-home i n demand and supply of electricity, electric government agency system is comme il faut increasingly large and more complex. Moreover, regular electric supply is the veer necessity for growing assiduity and other fields of life. The power industry planners argon demanding stronger trend towards supplying electric power of higher case by improving the system security and its impact on milieu in parallel with pursuit of economy. In real life situation, the beat of perfection is never met, because there be deviations amidst the model and reality. encumbrance flow and state estimation epitome are all-important(a) tools for deciding the stable operation and control of power system as substantially as future planning of power systems 2, 3.The first commercial HVDC line built in 1954 was a 98 km submarine cable with ground return between the island of Gotland and the Swedish mainland 4. Thyristors were employ to DC. Transmission in the late 1960s and solid state valves became a reality. In 1969, a contract for the Eel River DC. Link in Canada was awarded as the first application of interchange state valves for HVDC transmission 4.PROBLEM STATEMENTWhy use DC transmission in the transmission system? This question often asked by the people. Some of people are response that the losses will are lower. Unfortunately, the answer given not correct. Therefore, the level of losses is planed into a transmission system and modulate by the selected conductor size. Either as budget items transmission lines or submarine cables can do lower losses only at higher expense since the larger cross-sectional land will generally result in lower losses but comprise more for the DC and AC conductors. It is mostly by economical choice, when converters are used for DC transmission in preference to AC transmission driven by one of the following reasonsAn overhead DC transmission line with its towers can be intentional to be less(prenominal) pricy per unit of length than an equivalent AC line designed to transmit the same level of electric power. However it is more costly at individually end of the DC converter send than the terminating stations of an AC line. Therefore, there is a breakeven distance above which the total cost of DC transmission is less than its AC transmission alternative. Lower optic profile can have by the DC transmission line than an equivalent AC line. Indeed, it lead to a lower environmental impact. There are other environmental advantages to a DC transmission line through the electric and magnetic fields being DC preferably of ac.The breakeven distance is lesser than overhead transmission, if transmission is by submarine or underground cable. It is not practicable to consider AC cable systems majestic 50 km but DC cable transmission systems are in service with length which is in hundreds of kilometers and even distances greater than or equal 600 km have been considered executable.Neighboring networks are not synchronised with some AC electric power systems even though their personal distances between them are quite small. This situation occurs in Japan. It is 60 Hz network for half the country and the 50 Hz system for the other side. It is physically impossible to connect the both of them together by direct AC methods in order to exchange electric power between them. Nevertheless, it is likely to transfer the needed power flow even though the AC systems, if a DC converter station is located in each system with an interconnecting DC bring together between them indeed affiliated remain asynchronous 1.OBJECTIVESThe main targets of this research areTo study the Newton-Raphson method for the load flow analysis.To modified the Newton-Raphson method to attain compatibility for AC/DC systems with integrate DC associate in the AC network.SIGNIFICANT OF aimLoad flow study is a crucial tool that dissemble with the numerical analysis applied to a power system. A power flow study usually uses simplified notation such as a one-line diagram and per-unit system and focuses on various forms of AC power (i.e. voltages, voltage angles, real power and re dynamical power) 5. Normal steady-state operation is how the power system is see. Exist a few number of software implementations of power flow studies. Load flow analysis is probably the most important of all network calculations since it concerns the network performance in its median(prenominal) in operation(p) conditions. It is performed to enquire the magnitude and phase angle of the voltage at each bus and the real and reactive power flows in the system components. The important of this study is to attain compatibility for AC/DC systems with merged DC neckties in the AC network by using the modification of the Newton-Raphson power flow analysis method.SCOPE OF WORKThe scope of this research is to analyze IEEE test system with the modified Newton-Raphson algorithm that will be develop and to solve the HVDC affair power system lo ad flow. This algorithm will be develop from the Newton-Raphson equation and some other equation from the DC link equations. The Jacobian equation for the AC power flow is altered to attain compatibility for systems with integrated DC link(s) in the AC network. Treated as voltage dependent PQ-buses are the converters. This grant the DC variables to be included in the power flow equations. Both the AC network and the DC link will be comprise by the new residual sender and Jacobian hyaloplasm 6.LITERATURE REVIEWThe studies of integrated ac/dc power system, their advantages and analysis of load flow in integrated ac/dc power system and their implementation is much develop here the literary productions review on these aspects is briefly summarized asK. Ayan, U. Arifoglu, U. Kilic represent the Load diminish (LF) analysis of pure AC power systems is solved saperately. It is by numerical analysis methods and the heuristic methods. The load flow of integrated ac/dc power systems only has been implementing by numerical methods so far. A lot of methods to implement load flow analysis of integrated ac/dc power systems in literature. Examples of these methods are Newton-Raphson, Fast Decoupled and Broyden. By using genic Algorithm the consecutive load flow analysis of AC/DC system is implemented. The suggest method is examine on IEEE 9-bus test system. heuristic rule method is apply for load flow analysis of the integrated AC/DC power systems for the first time 7.Panosyan and Oswald presented the model of a two-terminal HVDC link and its integration into the Newton-Raphson method for the load flow analysis taking into servant the control strategies of the HVDC converter stations. It is suggested that the simplest way of integrating a dc link into the ac load flow is by representing it by unalterable active and reactive power injections at the two terminal buses in the ac systems. Thus the two terminal ac/dc buses are stipulate as a PQ-bus with a constant voltage independent active and reactive power 8.Sanghavi and Banerjee suggested a sequential approach for performing the load flow analysis of an integrated ac/dc power system. In this approach a simplified model of the dc link has been developed and the means of integrating the link equation with a standard ac load flow program has been explained. in this model minimum standard of modifications have been made with a standard ac load flow program 3.Mobarak presented the well-known Newton-Raphson method for the load flow analysis of system consisting of HVDC link. The original NR method is modified to attain compatibility for AC/DC systems with integrated DC cogitate in the AC network. The altered Jacobian equation includes the DC real and reactive power at the AC/DC buses and the dependency on the AC system variables 9.Marsafawy and Mathur proposed a new method for the load-flow calculations of, integrated AC/DC systems. They proposed use of fast decoupled load flow method, which handles all AC/DC equations simultaneously, and fully exploits the sparsity proficiencys. They have shown application of the technique on two systems. The systems are one with a point to-point DC transmission and the other with a 3-terminal mesh HVDC sub-system. It was a fast technique for load-flow studies of an integrated AC/DC system 10. METHODOLOGYDefinition of name/ConceptsMATLAB MATLABis a high-level language and interactive environment for numerical computation, visualization, and programming. apply MATLAB, data can be analyze, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable us to explore multiple approaches and reach a answer faster than with spreadsheets or traditional programming languages.Newton-Raphson EquationPower flow equations formulated in polar form.Expressing in polar formSeparating the real and imaginary partsExpanding equation above in Taylors seriesThe Jacobian matrixDC Link EquationSuppose the rectif ier maintains constant current (CC), the inverter operates with constant extinction angle (CEA), maintaining adequate switch margin under normal operation. That isIf we assume the rectifier maintains constant current (CC), the inverter operates with constant voltage (CV), maintaining adequate commutation margin under normal operation. That isCONCLUSIONIn a nutshell, the objective of this study will be achieved after all the research have been done. The Newton-Raphson method will be study and will be applied in the load flow analysis. Then, the Newton-Raphson method will be modified and applied in the AC/DC systems with the integrated DC link in the AC network to achieve it compatibility. The research will able to make the calculation for the AC/DC systems with integrated DC links in the AC network become wakeful. A new method to include dc systems in power flow calculations will be proposed. The method is more efficient than previous methods and more importantly, the method is ea sy to implement and developments of ac power flow solution techniques can be combined with the other method.REFERENCES1D. A. Woodford, HVDC transmission, Manitoba HVDC Research Centre, pp. 400-1619, 1998.2J. Arrillaga and P. Bodger, Integration of h.v.d.c. links with fast-decoupled load-flow solutions, galvanising Engineers, proceeding of the Institution of, vol. 124, pp. 463-468, 1977.3H. A. Sanghavi and S. K. Banerjee, Load flow analysis of integrated AC-DC power systems, in TENCON 89. Fourth IEEE Region 10 International Conference, 1989, pp. 746-751.4H. Sato and J. Arrillaga, Improved load-flow techniques for integrated a.c.-d.c. systems, Electrical Engineers, Proceedings of the Institution of, vol. 116, pp. 525-532, 1969.5S. Gupta and S. K. Jain, Power flow analysis of system with HVDC link, 2012.6O. Osaloni and G. Radman, merged AC/DC systems power flow solution using Newton-Raphson and Broyden approaches, in system of rules Theory, 2005. SSST05. Proceedings of the Thirty-Se venth Southeastern Symposium on, 2005, pp. 225-229.7K. Ayan, U. Arifoglu, and U. Kilic, interconnected AC/DC systems Load Flow using Genetic Algorithm, in Power engineering and Optimization Conference (PEOCO), 2011 5th International, 2011, pp. 404-409.8A. Panosyan and B. Oswald, Modified Newton-Raphson load flow analysis for integrated AC/DC power systems, in Universities Power engineer Conference, 2004. UPEC 2004. 39th International, 2004, pp. 1223-1227.9Y. A. Mobarak, Notice of Violation of IEEE Publication PrinciplesModified load flow analysis for integrated AC/DC power systems, in Power System Conference, 2008. MEPCON 2008. 12th International Middle-East, 2008, pp. 402-405.10M. M. El-Marsafawy and R. M. Mathur, A New, Fast Technique for Load-Flow Solution of Integrated Multi-Terminal DC/AC Systems, Power Apparatus and Systems, IEEE Transactions on, vol. PAS-99, pp. 246-255, 1980.