PV Energy Modeling with 3D Shading and Module-Level Mismatch

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Solution Overview

Problem

Conventional PV modeling tools inaccurately estimate energy yield due to oversimplification of shade loss and electrical mismatch, leading to reduced accuracy in energy output predictions, especially in complex shading conditions and varying electrical grid demands.

Innovation Solution

An energy evaluation system with a modeling framework and API that calculates energy yield by generating 3D site geometry, effective irradiance, and inverter-level Maximum Power Point, considering shade loss timeseries and electrical load conditions, to provide precise energy aggregations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If conventional PV modeling tools use simplified scaling approximations for system output, then the modeling process is simple and fast, but the accuracy of energy yield estimation deteriorates

Engineering Contradiction:
Improvemodeling speedVSAvoidenergy yield estimation accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The PV system is segmented into individual module-level units, each with its own performance characteristics and shading conditions. The system models each module separately rather than using a simplified aggregate scaling approach, allowing accurate capture of non-linear effects while maintaining computational efficiency through modular processing.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The model applies local quality by considering site-specific shading conditions, module orientations, and environmental factors for each location within the PV array. This localized approach replaces the uniform scaling approximation with position-dependent performance calculations that accurately reflect real-world variations in irradiance and temperature.

Inventive Principle:
Principle #3Local quality

2Measurement precision

If PV modeling tools account for complex shading conditions and electrical mismatch, then the accuracy of energy yield estimation is improved, but the device complexity increases

Engineering Contradiction:
Improveenergy yield estimation accuracyVSAvoidmodeling framework complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system introduces an intermediary layer of module-level performance calculations that bridge the gap between simple system-scale models and complex cell-level simulations. This intermediate level captures essential shading and electrical mismatch effects without requiring full detailed modeling of every component, achieving accuracy improvement with controlled complexity increase.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The model dynamically changes parameters such as effective irradiance, temperature coefficients, and electrical resistance based on local conditions for each module. This parameter adaptation allows the system to accurately represent complex physical phenomena while using a unified modeling framework that avoids the need for multiple specialized sub-models.

Inventive Principle:
Principle #35Parameter changes

3Ease of manufacture

If PV modeling assumes uniform scaling with system size, then the model is easy to implement, but non-scaling factors reduce estimation accuracy

Engineering Contradiction:
Improvemodel implementation easeVSAvoidenergy yield estimation accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The model transitions from static uniform scaling assumptions to dynamic performance calculations that adapt to system size, configuration, and environmental conditions. Each module's performance is calculated based on its specific operating conditions rather than applying a fixed scaling factor, allowing the model to accurately represent systems of any size while maintaining implementation feasibility through standardized computational procedures.

Inventive Principle:
Principle #15Dynamics

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances the accuracy of PV system performance modeling, reducing financial risk for developers and improving the viability of solar and solar storage offerings by accurately quantifying shade losses and integrating smart grid requirements.

Implementation Method 1

calculate an effective irradiance (Ee) for photovoltaic (PV) modules in the energy system

Methodology Applied
Scientific EffectShade loss: Absorption (EM radiation)

Data Source

PatentEP3709232B1Estimating performance of photovoltaic systems
Publication Date: 2023.09.06 SUNPOWER INC
  • EP3709232B1 patent drawingFigure 1
  • EP3709232B1 patent drawingFigure 2
  • EP3709232B1 patent drawingFigure 3

AI summary

An energy evaluation system includes an energy system modeling framework and an Application Program Interface (API) as part of the energy system evaluation framework. The energy evaluation system can be configured to query a simulation application program interface (API) with PV system configuration parameters as arguments, generate a shade loss time series based on the system configuration parameters, simulate energy output for the PV system based on the shade loss time series, and output energy aggregations based on the simulation.