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Related Concept Videos

Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
Lagrange Multipliers: Problem Solving01:30

Lagrange Multipliers: Problem Solving

A silo with a cylindrical base, flat bottom, and hemispherical roof is a common design in agricultural and industrial storage due to its structural efficiency and ease of construction. Optimizing its dimensions to maximize storage capacity for a given amount of material—i.e., a fixed surface area—is a classic problem in applied calculus and engineering design. The key parameters are the radius r of the base and the height h of the cylindrical section.The total volume of the silo is obtained by...
Methods of Medium Optimization01:28

Methods of Medium Optimization

Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
Optimization Problems01:26

Optimization Problems

Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Lagrange Multipliers: Two Constraints01:28

Lagrange Multipliers: Two Constraints

The method of Lagrange multipliers with two constraints is used to optimize a function subject to two independent constraints. In many applications, the objective function represents a quantity to be maximized or minimized, such as cost, area, distance, or energy. The two constraints represent requirements that the solution must satisfy, such as fixed volume, limited resources, or prescribed dimensions.For a function of three variables, each constraint forms a surface in three-dimensional space.

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Related Experiment Videos

Adaptive quantum inspired deep reinforcement learning for multi objective low carbon CCHP optimization.

Abdul Rehman1, Suyang Zhou2, Sheeraz Iqbal3

  • 1School of Electrical Engineering, Southeast University, Nanjing, 210096, China. a.rehman@seu.edu.cn.

Scientific Reports
|June 10, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces an Adaptive Quantum-DRL Multi-Objective Optimization (AQ-DRLMO) framework for low-carbon combined cooling, heating, and power systems. The novel approach significantly reduces emissions, saves energy, and cuts costs through advanced optimization and digital twin technology.

Keywords:
Carbon emission flowCarbon tradingCombined CoolingDeep Reinforcement Learning (DRL)Digital twinHeating and Power (CCHP)Integrated energy systemMulti-objective optimizationQuantum-Inspired Evolutionary Algorithm (QIEA)Smart grid

Related Experiment Videos

Area of Science:

  • Energy Systems Engineering
  • Artificial Intelligence
  • Optimization Theory

Background:

  • Combined Cooling, Heating, and Power (CCHP) systems offer energy efficiency but face complex scheduling challenges.
  • Low-carbon energy management requires sophisticated optimization for greenhouse gas emission reduction and energy saving.
  • Integrating advanced computational methods like deep reinforcement learning and digital twins is crucial for optimizing CCHP operations.

Purpose of the Study:

  • To propose a novel deep reinforcement learning (DRL)-based multi-objective optimization framework for low-carbon CCHP systems.
  • To enhance scheduling efficiency by incorporating adaptive Quantum-Inspired Evolutionary Algorithms (QIEA) and digital twin technology.
  • To address carbon emission flow, carbon trading, and demand response within the CCHP scheduling framework.

Main Methods:

  • Developed an Adaptive Quantum-DRL Multi-Objective Optimization (AQ-DRLMO) model integrating QIEA and digital twins.
  • Utilized Physics-Informed Neural Networks (PINNs) within a hierarchical digital twin for predictive optimization.
  • Introduced enhanced control strategies (ETEF, EEF, TEF) with attention-based transformer networks and a Carbon-Conscious Optimal Power Flow (C-OPF) model.

Main Results:

  • The AQ-DRLMO framework achieved significant reductions: 40.08% in greenhouse gas emissions, 34.04% in primary energy saving, and 24.44% in cost.
  • Quantum-inspired optimization demonstrated 67.3% faster convergence (45 iterations vs. 137) compared to standard genetic algorithms.
  • The framework maintained solution diversity on the Pareto front across different control strategies and seasonal conditions.

Conclusions:

  • The proposed AQ-DRLMO framework is a promising simulation-based solution for day-ahead scheduling in low-carbon CCHP systems.
  • It offers substantial improvements in energy efficiency, cost reduction, and environmental impact.
  • Further field validation is recommended for real-time control applications in smart grids and distributed energy systems.