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Line Flows and Line Losses

Finding line flows and line losses in a power system.

Formulas for Calculation

Voltage Between Buses

• Bus i and bus j: \(V_{ij} = V_{i} - V_{j}\)

• Bus j and bus i: \(V_{ji} = V_{j} - V_{i}\)

Current Calculation

• Current from bus i to bus j: \(I_{ij} = y_{ij}(V_i - V_j) + y_{i0} V_i\)

• Current from bus j to bus i: \(I_{ji} = y_{ji}(V_j - V_i) + y_{j0} V_i\)

Line Flows

• From bus i to bus j: \(S_{ij} = V_{ij}I_{ij}^{*}\)

• From bus j to bus i: \(S_{ji} = V_{ji}I_{ji}^{*}\)

Line Losses

\[S_{L_{ij}} = S_{ij} + S_{ji}\]

Class Diagram

classDiagram
class Complex{
   - float real
   - float imaginary
   + Complex(float real,float imaginary) Complex
   + getReal() float
   + getImag() float
   + fromString(String s) Complex
   + findMax(int[] array) int
   + add(Complex other) Complex
   + subtract(Complex other) Complex
   + multiply(Complex other) Complex
   + divide(Complex other) Complex
   + negate() Complex
   + reciprocal() Complex
   + toString() String
}

class Lineflow_Loss{
    - Scanner sc
    + main(String args[]) void
    + get_input(int n, Complex[][] V, Complex[][] I, Complex[][] y) (ArrayList<Complex[][]>)
    + calculate_lineflow_loss(int n, Complex[][] V, Complex[][] I, Complex[][] y) (ArrayList<Complex[][]>)
    + display_output(int n, Complex[][] V, Complex[][] I, Complex[][] S, Complex[][] SL) void
}

Lineflow_Loss --> Complex: uses

Documentation

Language	Link
Python	Lineflows_python
Java	Lineflows_java
MATLAB	Lineflows_matlab