1. JCPEE
  2. All Volumes and Issues
  3. Volume 2, Number 2, 2012
  4. Auxiliary model of parametric sensitivity

Auxiliary model of parametric sensitivity

JCPEE.
2012;
Volume 2, Number 2
: pp. 105-112
Authors:
  1. Vasyl Tchaban
  2. Serhiy Kostiuchko
  3. Zorana Tchaban
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University

The two-point boundary value problem of the differential equations of parametric sensitivity in addition to solving a two-point boundary value problem of the differential equations of state is solved. A joint monodromy matrix is defined by the product of matrix coefficients of the equations of state and the matrix of so-called auxiliary model of parametric sensitivity as the equations of first variation of the incomplete equations of state. The computational results are presented.

Parametric sensitivity
mathematical model
steady-state process
  1. A. Arutyunov, A. Izmailov, Abnormal Equality–consternated Optimization Problems: Sensitivity Theory // Mathematical Programming – 2004. – Vol. 100, № 3. – P. 485–515.
  2. A. Arutyunov, A. Izmailov, Sensitivity analysis for cone constrained optimization problems under the rela­xed constrained qualifications // Mathematics of Ope­rations Research. – 2005. – Vol. 30, № 2. – P. 333–353.
  3. Jian Ma, Zhao Yang Dong, Pei Zhang, Eigenvalues Sensitivity Analysis for Dynamic Power System // In Proc. Power System Technology Inter-national Conference. – Chongqing, China. – 2006. – P. 1–7.
  4. S. Kostiuchko, V. Tchaban, Computation of Paramet­ric Sensitivity of Electric Circuit in Ferro-resonance State // Tekhnichni visti. – Lviv, Ukraine. – № 1(35), 2(36). –2012. – P. 13–15. (Ukrainian)
  5. J.A. Martinez, Computational Aspects of Sensiti–vity Analysis // In Proc. Power Engineering Society Winter Meeting. – Chula Vista, USA. – 2001 – Vol. 2. – P. 799–800.
  6. R. Minguez, A. Conejo, State Estimation Sensiti­vity Analysis // IEEE Transactions on Power Systems. – Vol. 22, № 3. – 2007. – P. 1080–1091.
  7. Y, Mishra, Z. Dong, J. Ma, D. Hill, Induction Motor Load Impact on Power System Eigenvalues Sensitivity Analysis // IET Generation, Transmission & Distribution. – Vol. 3, № 7. – 2009. – P. 690–700.
  8. D. Peterchuck, A. Pahwa, Sensitivity of Transformer's Hot–test–spot and Equivalent Aging to Selected Parameters // IEEE Transactions on Power Delivery. – Vol. 17, № 4. -2002. – P. 996–1001.
  9. M. Tavares, M. Portela, Transmission System Para­meters Optimization–Sensitivity Analysis of Secon­dary Arc Current and Recovery Voltage // IEEE Trans­ac­tions on Power Delivery. – Vol. 19, № 3. – 2004. – P. 1464–1471.
  10. V. Tchaban, Mathematical Modeling in Electrical Engineering – Lviv, Ukraine: Taras Soroka’s publisher house. – 2010. – 508 p.