Power flow calculation by combination of Newton-Raphson method and Newton's method in optimization

2009 ◽  
Author(s):  
Andrey Pazderin ◽  
Sergey Yuferev
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Power Flow ◽  
Power Flow Calculation ◽  
Flow Calculation ◽  
Newton Raphson ◽  
Raphson Method

Thomas Simpson and ‘Newton's method of approximation’: an enduring myth

1992 ◽  
Vol 25 (3) ◽  
pp. 347-354 ◽  
Author(s):  
Nick Kollerstrom
Keyword(s):  
Newton’S Method ◽  
Computer Use ◽  
Newton's Method ◽  
Time Warp ◽  
Newton Raphson ◽  
Roots Of Equations ◽  
Image Position ◽  
Raphson Method ◽  
As If

A resurgence of interest has occurred in ‘Newton's method of approximation’ for deriving the roots of equations, as its repetitive and mechanical character permits ready computer use. If x = α is an approximate root of the equation f(x) = 0, then the method will in most cases give a better approximation aswhere f′(x) is the derivative of the function into which α has been substituted. Older books sometimes called it ‘the Newton–Raphson method’, although the method was invented essentially in the above form by Thomas Simpson, who published his account of the method in 1740. However, as if through a time-warp, this invention has migrated back in time and is now matter-of-factly placed by historians in Newton's De analysi of 1669. This paper will describe the steps of this curious historical transposition, and speculate as to its cause.

An Application of Improved Newton-Ralph Method in Microgrid Power Flow Calculation

2014 ◽  
Vol 1049-1050 ◽  
pp. 1448-1453
Author(s):  
Han Ping Zhang
Keyword(s):  
Distributed Generation ◽  
Calculation Method ◽  
Power Loss ◽  
Power Flow ◽  
Calculation Model ◽  
Power Flow Calculation ◽  
Flow Calculation ◽  
Newton Raphson ◽  
Simulation Results ◽  
Unified Method

The traditional methods of power flow calculation are no longer applicable for microgrid for the reason that there are many kinds of DG(distributed generation) in it, the mathematical models of these DGs are different from traditional generations. An unified method is proposed to improve Newton-Raphson power flow calculation method for the bus types of PQ(V) and PI after analyzing and establishing power flow calculation model for each kind of DG. It is proved that this method is correct by comparing the results with the simulation results of DigSILENT. The influences on voltage and power loss in microggirds brought by DGs are studied at last.

Substation Expansion Considering Reliability of Various Bus Configurations and Load Growth

2015 ◽  
Vol 781 ◽  
pp. 258-261
Author(s):  
Winai Nathasri ◽  
Witsaroot Witoontorn ◽  
Surachai Chaitusaney
Keyword(s):  
Power Flow ◽  
Power Capacity ◽  
Power Flow Calculation ◽  
Flow Calculation ◽  
Reliability Indices ◽  
Minimal Cut Sets ◽  
Load Growth ◽  
Capacity Limit ◽  
Newton Raphson ◽  
Electrical Substation

This paper proposes a method for electrical substation expansion by considering reliability indices of various types of bus configuration in electrical substation. The reliability indices LOLF, LOLP, and EENS are evaluated by using Newton-Raphson power flow calculation with minimal cut sets. The yearly load growth, together with power capacity of components (capacity limit of components), and the operation of protective components are also taken into account. Two types of failures, i.e. active failure and passive failure, are considered. Finally, the reliability of all bus configuration types in electrical substation is compared by the reliability indices.

scholarly journals SIMULASI ALIRAN DAYA PADA PEMBANGKIT LISTRIK TENAGA MESIN GAS (PLTMG) BADAS UNTUK SISTEM KELISTRIKAN SUMBAWA BESAR MENGGUNAKAN SOFTWARE ETAP 16

2019 ◽  
Vol 1 (2) ◽  
pp. 111-116
Author(s):  
Indra Darmawan ◽  
Fuad Abdurrahman Rafif ◽  
Addien Wahyu Wiratama
Keyword(s):  
Power Flow ◽  
Electrical Energy ◽  
Electric Power System ◽  
Integrated System ◽  
Operating Conditions ◽  
Electrical System ◽  
Power Flow Calculation ◽  
Newton Raphson ◽  
Raphson Method ◽  
Electrical Energy Generation

Electric power system is a process of electrical energy generation to dispense to users. A well-integrated system provides quality assurance for system reliability. Analysis is conducted to minimize dispensing losses. The electrical system of Sumbawa Besar is currently in the process of upgrading 150 KV transmission distribution capacity with PLTMG BADAS as the largest generation center. The research was conducted by analyzing the power flow on PLTMG BADAS for the electrical system of Sumbawa Besar which was reviewed on 20 KV bus system, and by simulating using ETAP 16 software . The research method is done with data derived from Sumbawa's PLN and analysis of the power flow calculation using the method Newton-Raphson precision value 0.0001. The simulation is performed on three generation scenarios, namely: 1) Operation 1 PLTMG engine, 2) operation 2 PLTMG engines, 3) operation of the entire PLTMG machine. All three scenarios are done under normal operating conditions. Simulated results show that the analysis of power flows by Newton-Raphson method generates 2 iterations in each scenario, and the following parameters are obtained: 1) average of the highest voltage value in Scenario 1 OF 20.43 KV With phase angle-14.3, 2) Total active power – highest reactive in Scenario 2 of 44.475 MW and 9.557 MVAR, 3) Scenario 1 has the lowest power loss of 2.634 MW and 5.168 MVAR and voltage fall by 2.275%.

Another Method for the Polar Coordinates Newton Raphson Power Flow Calculation

2014 ◽  
Vol 701-702 ◽  
pp. 227-230
Author(s):  
Yue Hua Huang ◽  
Bing Sen Xu ◽  
Yu Huan Jiang ◽  
Yan Zou
Keyword(s):  
Power System ◽  
Power Flow ◽  
Jacobian Matrix ◽  
Polar Coordinates ◽  
Operating Characteristics ◽  
Power Flow Calculation ◽  
Flow Calculation ◽  
System Flow ◽  
Newton Raphson ◽  
System Operating

With the development of the society, the power system flow calculation becomes more important. Another new method for the polar coordinates Newton Raphson power flow calculation was proposed according to the power system operating characteristics. This research eliminated the vacant of the Jacobian matrix completely, reduced the amount of computer memory requirements greatly and also canceled the inversion completely.

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