【摘要】 本文研究了应用二次规划求解安全有功经济调度问题,数学模型及算法为二次规划,并利用二次规划的凸性条件将有功平衡约束转化成一个不等式约束,将具有函数约束二次规划模型转化成只有变量约束的对偶二次规划问题,其中网损修正系数及线路约束系数采用PQ分解的修正迭代算法,文中应用Hildreth-D’Esopo法解对偶二次规划问题,进而提出了带有约束的共轭梯度新算法,本文用上述算法在微机上对IEEE30节点系统进行了试算,获得满意结果。更多还原

【Abstract】 This paper presents a quadratic programming (QP) algorithm to solve economic dispatch with security. By virtue of the convex condition of the cost function, the real power balance constraint is changed into only one inequality constraint; QP model with function constraints is transformed into a dual QP with only variable constraints. The penalty factors on transmission loss and the coefficients of line constraints are calculated by " P-Q decoupled revision-iteration method" . In the paper Hildreth.D’Esopo’s method is applied and a new approach "revised conjugate gradient method" is proposed to solve dual QP problem with constraints. A numerical example on the IEEE30-bus system is tested and the encouraging results are obtained.更多还原