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Resource management using calculated sensitivities

  • US 7,660,649 B1
  • Filed: 07/05/2005
  • Issued: 02/09/2010
  • Est. Priority Date: 07/02/2004
  • Status: Active Grant
First Claim
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1. A system for controlling system resources comprising:

  • a CPU-based computer system including code stored on a processor-readable storage medium, said CPU-based computer system performing the following functions;

    a. providing system parameters;

    b. non-linear calculation of at least two sets of indexes based on the system parameters, including optimization of resource allocation using a Lagrange function, L, wherein L is given as;

    L

    ( X , λ

    , μ

    , ρ

    , σ

    )
    = f

    ( X )
    +

    i




    λ

    i


    u i

    ( X )




    j

    T




    μ

    j


    v j

    ( X )
    +

    k

    S




    ρ

    k


    ( x k - x _ k )
    + 1 2



    k

    S


    σ

    k


    ( x k - x _ k )
    2
    where X=[x1, x2, . . . , xNx] is the set of primal system variables such that xmin,k

    xk

    xmax,k, for k=1, . . . , Nx;

    ƒ

    (X) is the objective function;

    u(X) is a set of equality constraints;

    v(X) is a set of inequality constraints;

    λ

    is the vector of multipliers for equality constraints;

    μ

    is the vector of multipliers for inequality constraints;

    ρ

    is the vector of multipliers for violated variable limits;

    σ

    is the vector of penalties for the violated limits;

    x is the violated limit of variable x;

    T is the set of unsatisfied inequality constraints; and

    S is the set of violated limits; and

    c. controlling at least one system resource based on the at least two sets of indexes, wherein the controlling at least one system resource comprises load shedding.

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