Multi Area Economic Dispatch using Secant Method

Abstract

-In this paper, Secant method is proposed to solve multi area economic dispatch (MAED) problem. Generator limits of all generators in each area are calculated at given area power demands plus export (or import) using secant method and the generator limits of all generators are modified as modified generator limits. Central economic dispatch (CED) problem is used to determine the output powers of all generators. Here, Secant method is applied to solve the CED problem. The proposed approach has been tested on two-area (two generators in each area) system and four-area (four generators in each area) system. It is observed from various cases that the proposed approach provides optimally best solution in terms of cost with tie line loss with less computational burden.

Multi-area economic dispatch with reserve sharing using dynamically controlled particle swarm optimization

“…In area i, the total power generation of all generators must be equal to its area power demand P Di with the consideration of imported and exported power [1] and can be stated as:…”

“…Generally power pool has several generation areas. Areas of individual utility are interconnected through tie-lines to operate with maximum reliability, reserve sharing, improved security and less production cost than operated as isolated area [1]. Each area has its own generation cost, load pattern and spinning reserves.…”

Multi-area Economic Dispatch Using Improved Particle Swarm Optimization

“…Areas of individual power systems are interconnected to operate with maximum reliability, reserve sharing, improved stability and less production cost than operated as isolated area [1]. Each area has its own generation cost and load pattern.…”

Multi-area Environmental Economic Dispatch with Reserve Constraints Using Enhanced Particle Swarm Optimization

“…In area m, the total power generation of all generators must be equal to the area power demand P Dm with the consideration of imported and exported power [1] and can be stated as follows: (3) where P Dm is the power demand of area m; P Tmk is the tie-line real power transfer from area m to area k. P Tmk is positive when power flows from area m to area k and is negative when power flows from area k to area m.…”

“…Each control area has its own load and generation. Areas of individual utility are interconnected through tie-lines to operate with maximum reliability, reserve sharing, improved security, and less production cost than when operated as an isolated area [1]. In an interconnected power system, several generation companies join to form a power pool with an aim to gain economic benefits in their operations.…”