Microgrid Predictive Control With Trajectory Linearization

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Solution Overview

Problem

Existing electric power delivery systems, particularly microgrids, face challenges in maintaining short-term voltage and frequency stability due to rapid disturbances such as generator tripping, faults, and large induction machine startups, exacerbated by lower inertia and higher resistance-to-reactance ratios.

Innovation Solution

Implementing a centralized model predictive control (MPC) system that predicts the future state of the power delivery system using a dynamic model, applies trajectory linearization to separate nonlinear dynamics from control adjustments, and computes optimal control inputs to maintain stability.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of operation

If PID controllers are used for voltage and frequency control in microgrids, then localized control is achieved, but short-term stability deteriorates due to lower inertia and higher resistance-to-reactance ratios

Engineering Contradiction:
Improvelocalized controlVSAvoidshort-term stability
Core Design Contradiction:
Ease of operationVSReliability

Solution Approach 1:

The patent merges multiple localized PID controllers into a centralized model predictive control system that coordinates control actions across the entire microgrid. The centralized MPC controller integrates information from all generators and loads to compute optimal control inputs that maintain stability during rapid disturbances, resolving the contradiction between localized simplicity and system-wide stability.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent implements dynamic control by using a linearized dynamic model of the microgrid that adapts to changing operating conditions. The MPC controller continuously updates control actions based on predicted future states, enabling the system to respond dynamically to rapid disturbances rather than relying on fixed PID parameters that deteriorate under varying conditions.

Inventive Principle:
Principle #15Dynamics

2Measurement precision

If PID controllers are tuned for broad range of disturbances, then control accuracy improves, but engineering costs increase

Engineering Contradiction:
Improvecontrol accuracyVSAvoidengineering costs
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent changes the control parameters from fixed PID gains to dynamic control inputs computed by MPC. The linearized dynamic model provides parameter variations that adapt to different operating conditions and disturbance types, achieving broad-range accuracy without manual retuning. This eliminates the need for complex engineering efforts to tune PID controllers for each specific disturbance scenario.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent applies preliminary action by using the linearized dynamic model to predict future system states and compute optimal control inputs before disturbances fully develop. The MPC controller proactively adjusts control actions to prevent instability rather than reactively responding after disturbances occur, achieving high accuracy across various disturbance types without extensive trial-and-error tuning.

Inventive Principle:
Principle #10Preliminary action

3Reliability

If rapid response to disturbances is implemented, then stability improvement is achieved, but control complexity increases

Engineering Contradiction:
Improvevoltage and frequency stabilityVSAvoidcontrol system complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent replaces complex mechanical tuning and coordination of multiple PID controllers with a computational model-based approach. The linearized dynamic model mathematically represents system behavior, and the MPC controller uses optimization algorithms to compute control actions, substituting mechanical complexity with computational efficiency. This achieves rapid coordinated response across the microgrid without the complexity of tuning and synchronizing multiple independent controllers.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent segments the control problem by linearizing the nonlinear microgrid dynamics into manageable linear models around different operating points. This segmentation allows the use of simpler linear control techniques while maintaining accuracy through piecewise linearization, reducing the overall control complexity compared to directly controlling the full nonlinear system.

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS12255462B2Linearized-trajectory predictive control for microgrid stability
Publication Date: 2025.03.18 SCHWEITZER ENGINEERING LABORATORIES INC
  • US12255462B2 patent drawing
  • US12255462B2 patent drawing
  • US12255462B2 patent drawing

AI summary

Techniques and apparatus presented herein are directed to improvements in maintaining voltage and frequency stability of an electric power delivery system. To do so, model predictive control (MPC) may be used. Input data may be obtained for a sampling period and may include a current system state. The MPC may predict an initial trajectory of the input data, output data, and a state of the system for a prediction period. The MPC may linearize the output and state trajectories and determine an updated input trajectory based at least in part on the linearized output trajectory. The MPC may determine control inputs to the system which achieve the updated input trajectory for a control period. The MPC may transmit control signals based at least in part on the control inputs to equipment associated with the input data.