Abstract
Considering the soft constraint characteristics of voltage constraints, the Interior-Point Filter Algorithm is applied to solve the formulation of fuzzy model for the power system reactive power optimization with a large number of equality and inequality constraints. Based on the primal-dual interior-point algorithm, the algorithm maintains an updating “filter” at each iteration in order to decide whether to admit correction of iteration point which can avoid effectively oscillation due to the conflict between the decrease of objective function and the satisfaction of constraints and ensure the global convergence. Moreover, the “filter” improves computational efficiency because it filters the unnecessary iteration points. The calculation results of a practical power system indicate that the algorithm can effectively deal with the large number of inequality constraints of the fuzzy model of reactive power optimization and satisfy the requirement of online calculation which realizes to decrease the network loss and maintain specified margins of voltage.
Highlights
On the premise of safe and stable operation, the reactive power optimization of power system realizes hierarchical and regional balance of reactive power, improves voltage quality and reduces network loss by means of adjustment of the reactive power controllers such as terminal voltages of generators, tap positions of on load tap changers (OLTCs) and switchable shunt capacitor/reactors
Considering the soft constraint characteristics of voltage constraints, the Interior-Point Filter Algorithm is applied to solve the formulation of fuzzy model for the power system reactive power optimization with a large number of equality and inequality constraints
The model of traditiona1 reactive power optimization is usually expressed as minimization of the active network loss under rigid voltage constraints which almost not considers the security margin of voltage and the characteristics of soft constraints when dealing with some voltage constraints
Summary
On the premise of safe and stable operation, the reactive power optimization of power system realizes hierarchical and regional balance of reactive power, improves voltage quality and reduces network loss by means of adjustment of the reactive power controllers such as terminal voltages of generators, tap positions of on load tap changers (OLTCs) and switchable shunt capacitor/reactors. The model of traditiona reactive power optimization is usually expressed as minimization of the active network loss under rigid voltage constraints which almost not considers the security margin of voltage and the characteristics of soft constraints when dealing with some voltage constraints. In [1,2,3,4], a mathematical model that is closer to the reality is established by introducing the fuzzy theory for dealing with soft constraints; the formulation of fuzzy model for reactive power optimization can decrease the network loss and maintain specified margins of voltage. The example of an actual power system indicates that the algorithm can effectively deal with the large number of inequality constraints of the fuzzy model of reactive power optimization and satisfy the requirement of online calculation which realizes to decrease the transmission loss and maintain specified margins of voltage.
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