Newton-Raphson power flow solution employing systematically constructed Jacobian matrix

Jegatheesan, R.; Nor, Nursyarizal Mohd; Romlie, Mohd Fakhizan

doi:10.1109/pecon.2008.4762458

Cited by 20 publications

(10 citation statements)

References 3 publications

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“…The optimal tap ratio values for off nominal tap ratio transformers a 19, (4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18) 0.98 0.98 1.00 a 41, 0.95 0.95 0.95 a 80, 0.94 0.94 0.93 a 65, 0.95 0.95 0.95 a 54, 0.94 0.94 0.94 a 71, 0.96 0.96 0.96 a 66, 0.92 0.92 0.92 a 59, 0.92 0.92 0.92 a 58, 0 problems such as short-term hydrothermal scheduling problem and pumped-storage hydraulic unit scheduling problem. To our knowledge, the proposed solution technique has not been applied to the problem given in this paper.…”

Section: Discussionmentioning

confidence: 99%

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A solution to security constrained non-convex economic dispatch problem by modified subgradient algorithm based on feasible values

Fadıl¹,

Yazıcı²,

Urazel³

2012

International Journal of Electrical Power & Energy Systems

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Section: Discussionmentioning

confidence: 99%

“…(1) and (2)). The following equations give the active and reactive power flows over the line being connected between buses i and j [16].…”

Section: Determination Of Line Flows and Power Generationsmentioning

confidence: 99%

A solution to security constrained non-convex economic dispatch problem by modified subgradient algorithm based on feasible values

Fadıl¹,

Yazıcı²,

Urazel³

2012

International Journal of Electrical Power & Energy Systems

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“…The techniques that are commonly used when finding solutions to power-flow problems are Gauss-Seidel, Newton-Raphson and Fast Decoupled techniques [17], [18], [19]. Newton-Raphson technique is used in this paper because of its ability to handle large practical and sparse power system networks with higher accuracy, faster convergence and higher efficiency [16], [20], [21], [22] which are of paramount importance in this work. By applying Newton-Raphson technique to solve the sets of nonlinear algebraic equations derived in equations (5) and (6), we have…”

Section: Newton-raphson Techniquementioning

confidence: 99%

Voltage Profiles Enhancement and Loss Reduction in Weak Meshed Networks

Alayande¹,

Jimoh²,

Yusuff³

2014

Environment and Water Resource Management / 813: Modelling and Simulation / 814: Power and Energy Systems / 815: Health Informa

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This paper explores the use of reactive Power compensation to enhance voltage bus profiles for power system security in weak power system networks. Powerflow analysis is one of the tools used in this paper and it is modelled as a nonlinear problem which is solved using Newton-Raphson-based algorithm. Power-flow is performed in this paper to determine voltage magnitudes and angles at every bus, active and reactive powers, transmission losses for each of the branches in the network and total transmission losses of the network. Buses that have their voltage magnitude outside the prescribed acceptable limits (% 10  tolerance value) within the network are therefore identified. The magnitudes of the voltages at these buses are substantially improved when reactive power is injected. Total transmission loss on the line is also reduced to barest minimum after the compensation. MATLAB 2010a is used as a programming tool for this work. A weak meshed network of 28-bus system is used as a test system. The result of the simulation in this paper shows the effectiveness of reactive power compensation using a bank of capacitors in transmission power system networks.

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“…(1) and (2)). The following equations give the active and reactive power flows over the line being connected between buses i and k in the j th subinterval [10].…”

Section: Determination Of Line Flows and Power Generationsmentioning

confidence: 99%

A Security-constrained Economic Power Dispatch Technique Using Modified Subgradient Algorithm Based on Feasible Values and Pseudo Scaling Factor for a Power System Area Including Limited Energy Supply Thermal Units

Fadıl

Yazıcı

Urazel

2011

Electric Power Components and Systems

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A security-constrained power dispatch problem with non-convex cost function for a lossy electric power system area including limited energy supply thermal units fueled under a take-or-pay agreement is formulated. Then, an iterative solution method based on a modified subgradient algorithm based on feasible values and common pseudo scaling factor for limited energy supply thermal units is proposed and used to solve the problem. In the iterative proposed solution method, a modified subgradient algorithm based on feasible values is used to solve the dispatch problem in each subinterval, while the common pseudo scaling factor for limited energy supply thermal units is employed to adjust the amount of fuel consumed by the limited energy supply units during the considered operation period.Since all equality and inequality constraints in the non-linear optimization model of a subinterval are functions of bus voltage magnitudes and phase angles (the off-nominal tap settings), they are taken as independent variables except for those belonging to the reference bus. Load flow equations are added to the model as equality constraints. The unit generation constraints, transmission line capacity constraints, bus voltage magnitude constraints, and off-nominal tap setting constraints are added into the optimization problem as inequality constraints. Since the modified subgradient algorithm based on feasible values requires that all inequality constraints should be expressed in equality constraint form, all inequality constraints are converted into equality constraints by the method given in this article before application of the modified subgradient algorithm based on feasible values to the optimization model.The proposed technique is tested on an IEEE 30-bus test system with a nonconvex total cost rate curve. A portion of the dispatch problem considered in this article, where only a loading of the system in a subinterval is considered, was also solved by some other recently reported dispatch techniques. First, minimum total fuel cost rates and solution times obtained from the modified subgradient algorithm based on feasible values versus other techniques are compared, and the outperformance of the modified subgradient algorithm based on feasible values in terms of both total cost rate and solution time is demonstrated. After that, the optimal total fuel cost A Power Dispatch Technique Using F-MSG Algorithm 1749 value and solution time of the system for the operation period for the cases where the fuel constraint is ignored and not ignored are presented, and it is shown that adding the fuel constraint into the dispatch problem further decreases the optimal total fuel cost for the considered dispatch problem. Finally, the modified subgradient algorithm based on feasible values was applied to the fuel constrained dispatch problem directly. It is demonstrated that the proposed solution method, where the modified subgradient algorithm based on feasible values is employed to solve an interval's dispatch problem, gives a solution time ...

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Newton-Raphson power flow solution employing systematically constructed Jacobian matrix

Cited by 20 publications

References 3 publications

A solution to security constrained non-convex economic dispatch problem by modified subgradient algorithm based on feasible values

A solution to security constrained non-convex economic dispatch problem by modified subgradient algorithm based on feasible values

Voltage Profiles Enhancement and Loss Reduction in Weak Meshed Networks

A Security-constrained Economic Power Dispatch Technique Using Modified Subgradient Algorithm Based on Feasible Values and Pseudo Scaling Factor for a Power System Area Including Limited Energy Supply Thermal Units

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