Net Heat Rate Economic Dispatch Calculator

Balance demand across units with heat rate checks. Review lambda, cost, emissions, losses, and margins. Export tables for faster power station planning and audits.

Calculator Inputs

Generating Unit Data

Formula Used

Cost curve for each unit: Ci = ai + biPi + ciPi2.

Incremental cost: dCi/dPi = bi + 2ciPi. Economic dispatch sets active marginal units near the same lambda value.

Generation target: Ptarget = Net load × (1 + Loss percent / 100). Reserve is checked against unused capacity.

Heat input: Hi = h0i + h1iPi + h2iPi2. Net heat rate = Total heat input × 1000 / Net load.

How to Use This Calculator

  1. Enter the net system demand in MW.
  2. Add expected loss allowance and reserve margin.
  3. Enter each generator minimum and maximum output.
  4. Fill cost coefficients a, b, and c for each unit.
  5. Fill heat input coefficients h0, h1, and h2.
  6. Enable the units that are available for dispatch.
  7. Press the calculate button to view results above the form.
  8. Use the export buttons to save the result table.

Example Data Table

Item Unit A Unit B Unit C
Minimum MW 80 50 40
Maximum MW 250 180 140
Cost a 500 400 300
Cost b 7.2 7.8 8.1
Cost c 0.0040 0.0048 0.0058
Heat h0 85 62 48
Heat h1 7.2 7.6 8.0
Heat h2 0.0022 0.0028 0.0031

Understanding Net Heat Rate Dispatch

Economic dispatch decides how much power each generator should make. The goal is simple. Meet demand at the lowest practical cost. The net heat rate adds another useful view. It shows how much heat energy is needed for each net kilowatt hour.

Why Heat Rate Matters

A lower heat rate usually means better conversion efficiency. Plants with poor heat rates need more fuel for the same output. Dispatch teams compare heat rate, cost curves, unit limits, and reserve needs before choosing a loading plan. This calculator combines these checks in one place.

How The Dispatch Works

Each unit uses a quadratic cost curve. The curve has a fixed part, a linear part, and a squared output part. The tool finds a common incremental cost value, called lambda. Units with lower incremental cost receive more load, while still respecting minimum and maximum limits. If a unit reaches a limit, the remaining units carry the balance.

Net Heat Rate Review

After dispatch is solved, the calculator estimates total heat input. It also divides total heat input by net generation. The result is shown in Btu per kWh. This value helps compare operating points. It can also show when a plant is running away from its efficient range.

Operational Use

Operators can include a loss allowance and a reserve margin. These options create a more realistic target than raw load alone. The reserve entry is useful when a plant must keep spare capability online. The loss entry helps represent auxiliary losses, station service, or transmission allowances.

Cost And Planning Value

The cost table gives unit output, hourly fuel cost, heat input, incremental cost, and loading status. Engineers can export the table for reports. Analysts can test different loads, fuel prices, and unit limits. The example data offers a starting case for practice.

Best Practices

Use accurate coefficients from plant tests or approved performance models. Check that minimum and maximum limits match the current operating condition. Review warnings when demand exceeds available capacity. Treat the result as a planning aid. Final dispatch decisions should follow grid rules, plant safety limits, and operator judgment. Small load changes can shift the best mix quickly. Recheck inputs after derates or fuel changes.

FAQs

What is net heat rate?

Net heat rate is the heat input required to produce one net kilowatt hour. Lower values usually show better thermal efficiency.

What is economic dispatch?

Economic dispatch assigns load among available generators so total operating cost is minimized while respecting unit limits and system demand.

What does lambda mean?

Lambda is the common incremental cost target. Marginal units usually operate where their incremental cost equals this value.

Why enter minimum and maximum MW?

Generators cannot operate safely at every output. These limits keep dispatch results within practical equipment operating ranges.

How are losses handled?

The calculator increases the generation target by the loss allowance. This helps represent station service, auxiliary use, or transmission loss.

Is reserve margin dispatched as real output?

No. Reserve is checked against unused capacity. It is not added to actual dispatched generation in this calculator.

Can I use real plant data?

Yes. Use approved cost and heat input coefficients from plant tests, operating records, or validated performance models.

What should I do with warnings?

Review warnings before using the result. They may show invalid unit limits, inadequate capacity, or reserve shortfall.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.