Economic Load Dispatch — Gujarati Guided Simulation

⚙

સિસ્ટમના ઇનપુટ્સ

Generator 1

a₁ — Constant

b₁ — Linear

c₁ — Quadratic

P₁ min (MW)

P₁ max (MW)

Generator 2

a₂ — Constant

b₂ — Linear

c₂ — Quadratic

P₂ min (MW)

P₂ max (MW)

Load Demand

Total Load (MW)

Assumption: Transmission losses = 0

Step 1
Balance

Step 2
Incremental

Step 3
Condition

Step 4
Constraint

Step 5
Output

Step 6
Verify

Step 7
Cost

⚡

Power System Diagram

Generator 1 Generator 2 Load

Step 1: Power Balance Equation — Power Balance

Transmission losses ન ગણીએ ત્યારે કુલ generated power load demand જેટલી હોવી જોઈએ.

P_{1} + P_{2} = P_{D}

Step 2: Incremental Fuel Cost શોધો

Fuel cost function: F = a + bP + cP²

\frac{d F_{1}}{d P_{1}} = b_{1} + 2 c_{1} P_{1}

\frac{d F_{2}}{d P_{2}} = b_{2} + 2 c_{2} P_{2}

Step 3: Economic Dispatch Condition

Minimum fuel cost માટે બંને generating unitsના incremental costs સમાન હોવા જોઈએ.

\frac{d F_{1}}{d P_{1}} = \frac{d F_{2}}{d P_{2}} = λ

Step 4: Load Constraintમાં Substitute કરો

P_{2} = P_{D} - P_{1}

Step 5: Generator Outputs શોધો

Generator 1 Output

200 MW

Generator 2 Output

100 MW

Incremental Cost λ

9 ₹/MWh

Step 6: Incremental Costs Verify કરો

Step 7: Total Fuel Cost Calculate કરો

Generator 1 Cost

₹1900/h

Generator 2 Cost

₹1150/h

Total Operating Cost

₹3050/h

Quantity	Value
Total Load Demand	300 MW
Generator 1 Output	200 MW
Generator 2 Output	100 MW
Incremental Cost λ	9 ₹/MWh
Generator 1 Fuel Cost	₹1900/hour
Generator 2 Fuel Cost	₹1150/hour
Total Operating Cost	₹3050/hour