How Should Engineers Read a PVT Efficiency Curve?

Published: March 28, 2026
Last Modified:July 21, 2026

Introduction

Why Efficiency Curves Are More Valuable Than a Single Efficiency Number

A common mistake when evaluating PVT collectors is focusing on only one efficiency value.

For example:

“This collector has 70% thermal efficiency.”

However, a PVT collector does not operate under only one condition.

Real systems experience changes in:

  • outdoor temperature
  • solar radiation
  • collector temperature
  • heat demand
  • heat pump operating conditions

Therefore, engineers need a performance curve instead of a single number.

A PVT efficiency curve shows how thermal efficiency changes as the temperature difference between the collector and the environment increases.

It helps engineers answer:

  • How will the collector perform in winter?
  • Is it suitable for a heat pump system?
  • How does efficiency change at higher temperatures?
  • Which collector is better under actual operating conditions?

Quick Summary

QuestionAnswer
What is a PVT efficiency curve?A graph showing how collector thermal efficiency changes with operating conditions.
What does the curve represent?The relationship between efficiency, temperature difference and solar irradiation.
Which parameters define the curve?η₀ optical efficiency, a₁ first-order heat loss coefficient and a₂ second-order heat loss coefficient.
What evidence supports Solis PVT?Independent laboratory thermal performance testing according to EN 12975:2022 and ISO 9806:2017.
Why do engineers use curves?To select collectors, size systems and predict real operating performance.

Evidence Callout

Independent Laboratory Thermal Performance Evidence

Evidence Source

Independent third-party laboratory test report:

Report No. 240312065GZU-001

Testing references:

  • EN 12975:2022
  • ISO 9806:2017

The report evaluated Solis PVT collector thermal performance characteristics, including efficiency-related parameters and heat loss coefficients.

 

Engineering Meaning

The measured coefficients allow engineers to construct and interpret thermal efficiency behaviour under different operating conditions.


What Is a PVT Efficiency Curve?

Technical Definition

A PVT efficiency curve describes:

The relationship between collector thermal efficiency and the operating temperature difference between the collector and ambient environment.

The horizontal axis usually represents:

Tm−TaG\frac{T_m-T_a}{G}

or related temperature parameters.

The vertical axis represents:

η\eta

thermal efficiency.


Understanding the Basic Curve Shape

A typical PVT efficiency curve behaves like this:

 
Higher Efficiency

│\
│ \
│  \
│   \
│    \
│     \

└────────────────
 Increasing Temperature Difference
 

The reason:

As temperature difference increases:

  • heat losses increase
  • useful thermal output decreases
  • efficiency declines

The Three Key Parameters Behind the Curve

The efficiency curve is mainly determined by:

1. η₀ — Optical Efficiency

What It Means

η₀ represents the initial ability of the collector to convert solar radiation into useful heat.

On the curve:

η₀ determines the starting point.

A higher η₀ generally means:

  • better solar capture
  • higher efficiency at low temperature difference

Related:

B1-T2-I01
What Is Optical Efficiency (η₀)?


2. a₁ — First-Order Heat Loss Coefficient

What It Means

a₁ describes the basic thermal losses when collector temperature rises above ambient.

On the curve:

a₁ determines the initial downward slope.

Higher a₁:

  • steeper efficiency decline

Lower a₁:

  • better heat retention

Related:

B1-T2-I02
What Does Heat Loss Coefficient a₁ Mean?


3. a₂ — Second-Order Heat Loss Coefficient

What It Means

a₂ describes additional thermal losses at larger temperature differences.

On the curve:

a₂ affects the curve bending behaviour.

It becomes increasingly important when:

  • operating temperature increases
  • temperature difference becomes large

Related:

B1-T2-I03
What Does Heat Loss Coefficient a₂ Mean?


How Is the Efficiency Curve Calculated?

The thermal efficiency relationship is commonly expressed as:

η=η0−a1(Tm−Ta)G−a2(Tm−Ta)2G\eta = \eta_0 – a_1\frac{(T_m-T_a)}{G} – a_2\frac{(T_m-T_a)^2}{G}

Where:

ParameterMeaning
ηThermal efficiency
η₀Optical efficiency
a₁First-order heat loss coefficient
a₂Second-order heat loss coefficient
TₘMean collector temperature
TₐAmbient temperature
GSolar irradiance

How Engineers Interpret Different Parts of the Curve

Area 1 — Low Temperature Difference

Characteristics:

  • collector temperature close to ambient
  • small heat loss

Important parameter:

η₀

Typical applications:

  • brine heat pump systems
  • low-temperature heating

Area 2 — Medium Temperature Difference

Characteristics:

  • normal operating conditions
  • increasing thermal losses

Important parameters:

η₀ + a₁

Typical applications:

  • residential heating

Area 3 — High Temperature Difference

Characteristics:

  • collector temperature significantly above ambient
  • stronger heat losses

Important parameters:

a₁ + a₂

Typical applications:

  • domestic hot water
  • higher-temperature heating

Why Efficiency Curves Matter for Heat Pump Design

PVT collectors are often integrated with heat pumps.

The efficiency curve helps engineers understand:

Heat Source Availability

How much thermal energy is available at different operating temperatures.


Collector Sizing

How many collectors are required for a specific heat demand.


Seasonal Performance

How performance changes during:

  • winter
  • spring
  • summer

Standard Reference

Current Standard

ISO 9806:2025 — Solar energy — Solar thermal collectors — Test methods

defines standardized methods for evaluating solar collector thermal performance.


Solis PVT Test Reference

The Solis PVT collector thermal performance evaluation was conducted according to:

  • ISO 9806:2017
  • EN 12975:2022

The report provides thermal performance coefficients used for engineering analysis.

 


Evidence Classification

Measured Data

The independent laboratory report provides measured thermal performance parameters, including:

  • η₀
  • a₁
  • a₂

 


Standard Requirement

ISO 9806 defines:

  • measurement methods
  • testing procedures
  • calculation approach

Engineering Judgement

Engineers should select collectors based on the curve region matching the actual application.

A collector with excellent low-temperature performance may not always be the best choice for high-temperature applications.


Engineering Comparison

Comparing Collectors Using Efficiency Curves

ParameterCollector ACollector B
η₀HigherLower
a₁HigherLower
Low temperature performanceBetter initial outputModerate
High temperature performanceEfficiency decreases fasterMaintains performance better

The better collector depends on the project operating condition.


Common Mistakes When Reading Efficiency Curves

Mistake 1

Only comparing the highest efficiency point.

Why incorrect:

The maximum value may not represent real operating conditions.


Mistake 2

Ignoring operating temperature.

A collector used for heat pumps operates differently from one used for hot water.


Mistake 3

Comparing curves from different test conditions.

Engineers must confirm:

  • test method
  • irradiation conditions
  • temperature parameters

How Engineers Use Efficiency Curves in Real Projects

Heat Pump Integration

Determine whether the PVT collector matches:

  • source temperature requirements
  • seasonal operating conditions

System Simulation

Use performance coefficients for:

  • energy modelling
  • annual yield prediction

Product Selection

Compare different collectors under the same operating conditions.

Frequently Asked Questions

A PVT efficiency curve shows how collector thermal efficiency changes as operating temperature conditions change.

Because real systems operate under different temperatures and weather conditions.

Main parameters:

  • η₀
  • a₁
  • a₂

Through standardized thermal performance testing according to methods such as ISO 9806.

Because heat pump systems require accurate prediction of available thermal energy under different operating conditions.

Conclusion

A PVT efficiency curve is one of the most valuable engineering tools for evaluating collector thermal performance.

Instead of showing only one efficiency number, the curve explains how performance changes when operating conditions change.

The key parameters are:

  • η₀ — solar energy capture capability
  • a₁ — basic heat loss behaviour
  • a₂ — high-temperature thermal loss behaviour

Supported by independent laboratory testing based on recognized solar collector standards, Solis PVT provides engineering data that helps designers select and optimize PVT systems for renewable heating applications.