scholarly journals The second-order contingent derivative of generalized perturbation maps

2018 ◽  
Vol 1 (T5) ◽  
pp. 203-213
Author(s):  
Anh Le Hoang Nguyen
Keyword(s):  
Sensitivity Analysis ◽  
Second Order ◽  
Contingent Derivative ◽  
Sum Rule ◽  
Perturbation Maps ◽  
Better Than

In the paper, we give some remarks on [1]. Then, we modify main results concerning the sum rule of second-order contingent derivatives for set-valued maps and its application to the sensitivity analysis of generalized perturbation maps. The obtained results are new and better than those in [1]. Some examples are proposed to illustrate our results.

Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization

2020 ◽  
Vol 37 (02) ◽  
pp. 2050002
Author(s):  
Zhenhua Peng ◽  
Zhongping Wan
Keyword(s):  
Second Order ◽  
Contingent Derivative ◽  
Lipschitz Property ◽  
Dini Derivative ◽  
New Concepts ◽  
Locally Lipschitz ◽  
Perturbation Maps ◽  
Perturbation Map ◽  
First Time ◽  
Derivatives Of

In view of the structural advantage of second-order composed derivatives, the purpose of this paper is to analyze quantitatively the behavior of perturbation maps for the first time by using this concept. First, new concepts of the second-order composed adjacent derivative and the second-order composed lower Dini derivative are introduced. Some relationships among the second-order composed contingent derivative, the second-order composed adjacent derivative and the second-order composed lower Dini derivative are discussed. Second, the relationships between second-order composed lower Dini derivable and Aubin property are provided. Third, by virtue of second-order composed contingent derivatives and the above relationships, some results concerning second-order sensitivity analysis are established without the assumption of the locally Lipschitz property or the locally Hölder continuity. Finally, we give some complete characterizations of second-order composed contingent derivatives of the perturbation maps.

Optimal Capacitors Placement of Distribution Systems Using 2nd Order Power Loss Sensitivity Analysis and Hierarchical Clustering

2014 ◽  
Vol 986-987 ◽  
pp. 377-382 ◽  
Author(s):  
Hui Min Gao ◽  
Jian Min Zhang ◽  
Chen Xi Wu
Keyword(s):  
Sensitivity Analysis ◽  
Hierarchical Clustering ◽  
Distribution System ◽  
Power Flow ◽  
Distribution Systems ◽  
Reactive Power ◽  
Digital Simulation ◽  
Second Order ◽  
First Order ◽  
The Impact

Heuristic methods by first order sensitivity analysis are often used to determine location of capacitors of distribution power system. The selected nodes by first order sensitivity analysis often have virtual high by first order sensitivities, which could not obtain the optimal results. This paper presents an effective method to optimally determine the location and capacities of capacitors of distribution systems, based on an innovative approach by the second order sensitivity analysis and hierarchical clustering. The approach determines the location by the second order sensitivity analysis. Comparing with the traditional method, the new method considers the nonlinear factor of power flow equation and the impact of the latter selected compensation nodes on the previously selected compensation location. This method is tested on a 28-bus distribution system. Digital simulation results show that the reactive power optimization plan with the proposed method is more economic while maintaining the same level of effectiveness.

scholarly journals Additional High Input Low Output Impedance Analog Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Sudhanshu Maheshwari ◽  
Bhartendu Chaturvedi
Keyword(s):  
Sensitivity Analysis ◽  
Input Impedance ◽  
Second Order ◽  
Current Conveyor ◽  
Output Impedance ◽  
High Input ◽  
High Input Impedance ◽  
Pspice Simulations ◽  
Voltage Mode ◽  
Good Agreement

This paper presents some additional high input low output impedance analog networks realized using a recently introduced single Dual-X Current Conveyor with buffered output. The new circuits encompass several all-pass sections of first- and second-order. The voltage-mode proposals benefit from high input impedance and low output impedance. Nonideality and sensitivity analysis is also performed. The circuit performances are depicted through PSPICE simulations, which show good agreement with theory.

Sign in / Sign up

Export Citation Format

Share Document