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Optimal power flow with transmission cost solution under bilateral and multilateral transactions

Bastin Solai Nazaran J., Selvi K.

Archives of Electrical Engineering

2014

Vol. 63, nr 2

227--245

In a deregulated electricity market, it is important to dispatch the generation in an economical manner and to ensure security under different operating conditions. In this study evolutionary computation based solution for optimal power flow is attempted. Social welfare optimization is taken as the objective function, which includes generation cost, transmission cost and consumer benefit function. Transmission cost is calculated using Bialek’s power flow tracing method. Severity index is applied as a constraint to measure the security. The objective function is calculated for pre and post contingency periods. Real power generations, real power loads and transformer tap settings are selected as control variables. Different bilateral and multilateral conditions are considered for analysis. A Human Group Optimization algorithm is used to find the solution of the problem. The IEEE 30 bus system is taken as a test system.

Bilateral Polynomial Equations With Unimodular Right-Hand-Side Matrices

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2003

Vol. 13, no 4

511-514

Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.