The Closest Stability Margin by Analyzing Full-dimensional Saddle- node Bifurcation Point in Power System

نویسندگان

  • YI TAO
  • WANG YANJIE
چکیده

The network equations of electric power system are formed in which the node voltages and branch currents are as state variables by π equivalent circuit simulation of power components. The explicit expressions of power system voltage equilibrium solution curves are obtained by solving the equations above, and then get the characteristic equation of the saddle-node bifurcation point, define the full-dimensional saddlenode bifurcation point. The full-dimensional saddle-node bifurcation point is the closest stability margin of the system after comparing the one-dimensional and full-dimensional saddle-node bifurcation point. In order to solve the system stability margin the dimensionality reduction algorithm of saddle-node bifurcation point is proposed. IEEE-14 nodes system simulation shows that the concepts and methods presented in this paper are correct. Key-Words: Full-dimensional, branch current, saddle-node bifurcation point, power flow equation, equilibrium solution curve, Stability Margin

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Methods for Computing a Closest Saddle Node Bifurcation and Worst Case Load Power Margin for Voltage Collapse

Voltage collapse and blackout can occur in an electric power system when load powers vary so that the system loses stability in a saddle node bifurcation. We propose new iterative and direct methods to compute load powers a t which bifurcation occurs and which are locally closest to the current operating load powers. The distance in load power parameter space to this locally closest bifurcation...

متن کامل

Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations

The problem of operating or designing a system with robust stability with respect to many parameters can be viewed as a geometric problem in multidimensional parameter space of finding the position of nominal parameters λ0 relative to hypersurfaces at which stability is lost in a bifurcation. The position of λ0 relative to these hypersurfaces may be quantified by numerically computing the bifur...

متن کامل

Constraint at a Saddle Node Bifurcation

Many power engineering systems have dynamic state variables which can encounter constraints or limits affecting system stability. Voltage collapse is an instability associated with the occurrence of a saddle node bifurcation in the equations which model the electric power system. We investigate the effect of constraints on voltage collapse by studying the effect of constraining state variables ...

متن کامل

A Continuation Method Approach to Finding the Closest Saddle Node Bifurcation Point

The paper considers the problem of nding saddle node bifur-cation points which are closest (in a local sense) to the power system operating point. This optimization problem leads to a set of equations which describe such critical points. Not all solutions of this set of equations are critical points. The paper therefore explores the nature and characteristics of solutions. A two stage algorithm...

متن کامل

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

The loading margin to a saddle-node or fold bifurcation measures the proximity to voltage collapse blackouts of electric power transmission systems. Sensitivities of the loading margin can be used to select controls to avoid voltage collapse. We analytically justify the use of static models to compute loading margins and their sensitivities and explain how the results apply to underlying dynami...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017