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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower Generation
PrevNext

Optimum dispatch state is

A

Secure

B

Partially secure

C

Not secure

D

Not define properly

Correct Answer

Concept & PrincipleElectricalPower Generation
Option A

Secure

Quick Summary: In power system operation, the 'Optimum Dispatch' (Economic Load Dispatch) state is focused solely on minimizing the total cost of generation by adjusting the power output of generators, often at the expense of security margins. Because it prioritizes cost optimization over the static security constraints (N-1 criteria), it is inherently 'Not Secure' compared to a state that explicitly incorporates security constraints.

💡 Explanation

In power system operation, the 'Optimum Dispatch' (Economic Load Dispatch) state is focused solely on minimizing the total cost of generation by adjusting the power output of generators, often at the expense of security margins. Because it prioritizes cost optimization over the static security constraints (N-1 criteria), it is inherently 'Not Secure' compared to a state that explicitly incorporates security constraints.

🔢 Key Formulas

FT=∑i=1n(aiPi2+biPi+ci)F_T = \sum_{i=1}^{n} (a_i P_i^2 + b_i P_i + c_i)FT​=∑i=1n​(ai​Pi2​+bi​Pi​+ci​) — Total generation cost function

dCidPi=λ\frac{dC_i}{dP_i} = \lambdadPi​dCi​​=λ — Coordination equation for optimum dispatch

⚙️ Working Principle

The Economic Load Dispatch (ELD) problem involves solving min⁡F=∑Ci(Pi)\min F = \sum C_i(P_i)minF=∑Ci​(Pi​) subject to ∑Pi=PD+Ploss\sum P_i = P_D + P_{loss}∑Pi​=PD​+Ploss​. This optimization often pushes the system toward boundary constraints (e.g., thermal limits or bus voltage limits) to maximize efficiency, thereby leaving the system vulnerable to contingency events, which renders the state 'Not Secure' in terms of operational reliability.

📌 Key Points
  • ▸

    Optimum dispatch focuses on economic efficiency (min⁡\minmin cost).

  • ▸

    Security-constrained dispatch incorporates system reliability margins.

  • ▸

    The transition to optimum dispatch often utilizes the full capacity of generators.

  • ▸

    System security and economic efficiency are typically inversely related in unconstrained models.

✅ Advantages
  • ▸

    Minimal fuel expenditure

  • ▸

    Maximized thermal efficiency of plant units

❌ Disadvantages / Limitations
  • ▸

    High vulnerability to contingency failure

  • ▸

    Low operational reserve margins

🛠️ Applications / Uses
  • ▸

    Energy management system (EMS) optimization

  • ▸

    Long-term generation scheduling

📄 Additional Information
  • ▸

    A state is considered secure if all equipment is within limits and no violation occurs under N-1 contingencies.

  • ▸

    Option A is incorrect because optimum dispatch does not guarantee security.

  • ▸

    Option B is vague; security is typically treated as a binary or probabilistic threshold.

📊 Diagram / Illustration
Power System Operational StatesSecure (Normal)Optimum DispatchConstraint Optimization shifts state
✅

C is correct — An optimum dispatch state prioritizes cost minimization, which often ignores the security margins required to handle contingencies, thus classifying it as 'Not secure'.

Core Concepts Used
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Economic Load Dispatch Power System Security Operational Constraints
💡 EXAM TIP

Always remember that in power systems, there is a fundamental trade-off between the 'Economic Dispatch' (cost-focused) and 'Security-Constrained Economic Dispatch' (SCED) (reliability-focused).

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