Photovoltaic devices - Part 10: Methods of linear dependence and linearity measurements

IEC 60904-10:2020 describes the procedures used to measure the dependence of any electrical parameter (Y) of a photovoltaic (PV) device with respect to a test parameter (X) and to determine the degree at which this dependence is close to an ideal linear (straight-line) function. It also gives guidance on how to consider deviations from the ideal linear dependence and in general on how to deal with non-linearities of PV device electrical parameters.
This third edition cancels and replaces the second edition published in 2009. This edition includes the following significant technical changes with respect to the previous edition:
a. Modification of title.
b. Inclusion of an Introduction explanatory of the changes and the reasoning behind them.
c. Inclusion of a new Clause Terms and Definitions (Clause 3), with distinction between generic linear dependence and linear dependence of short-circuit current versus irradiance (linearity).
d. Explicit definition of equivalent sample (Clause 4).
e. Technical revision of the apparatus (Clause 5), of the measurement procedures (Clause 6 to Clause 8) and of the data analysis (Clause 9), with separation of the data analysis for a generic linear dependence from the data analysis specific to linearity (i.e. short-circuit current dependence on irradiance) assessment. Additionally, inclusion of impact of spectral effects on both linearity and linear dependence assessment.
f. Introduction of specific data analysis for two-lamp method, making it fully quantitative. Addition of extended version called N-lamp method.
g. Modification of the linearity assessment criterion with inclusion of a formula that can be used to correct the irradiance reading of a PV reference device for non-linearity of its short-circuit current versus irradiance. A linearity factor is specifically newly defined for this purpose.
h. Revision of the requirements for the report (Clause 10) in order to improve clearness about what information is always necessary and what is dependent on the procedure actually followed to measure the linear dependence, including the type of dependence measured (generic or linearity).

Dispositifs photovoltaïques - Partie 10: Méthodes de mesure de la dépendance linéaire et de la linéarité

l’IEC 60904-10:2020 décrit les procédures utilisées pour mesurer la dépendance de tout paramètre électrique (Y) d’un dispositif photovoltaïque (PV) par rapport à un paramètre d’essai (X) et pour déterminer le degré de proximité de la dépendance par rapport à une fonction linéaire idéale (ligne droite). Elle fournit également des recommandations relatives à la prise en considération des écarts par rapport à la dépendance linéaire idéale et, de façon générale, sur le traitement des non-linéarités des paramètres électriques d’un dispositif PV.
Cette troisième édition annule et remplace la deuxième édition parue en 2009. Cette édition inclut les modifications techniques majeures suivantes par rapport à l'édition précédente:
a. Modification du titre.
b. Ajout d’une Introduction qui explique les modifications apportées et les raisons de ces modifications.
c. Ajout d’un nouvel Article Termes et définitions (Article 3) qui fait la distinction entre la dépendance linéaire générique et la dépendance linéaire de courant de court-circuit en fonction de l’éclairement (linéarité).
d. Définition explicite de l’échantillon équivalent (Article 4).
e. Révision technique de l’équipement (Article 5), des procédures de mesure (Article 6 à Article 8) et de l’analyse des données (Article 9), avec distinction entre analyse des données relative à une dépendance linéaire générique et analyse des données spécifique à l’évaluation de la linéarité (c’est-à-dire la dépendance du courant de court-circuit sur l’éclairement). De plus, ajout de l’impact des effets spectraux sur l’évaluation de la linéarité et de la dépendance linéaire.
f. Introduction d’une analyse de données spécifique à la méthode à deux lampes, rendant celle-ci entièrement quantitative. Ajout d’une version étendue appelée méthode à N lampes.
g. Modification du critère d’évaluation de la linéarité avec ajout d’une formule qui peut être appliquée pour corriger le relevé d’éclairement d’un dispositif PV de référence pour la non‑linéarité de son courant de court-circuit en fonction de l’éclairement. Un facteur de linéarité spécifique est nouvellement défini dans ce but.
h. Révision des exigences relatives au rapport (Article 10) afin de préciser les informations qui sont toujours nécessaires et ce qui dépend de la procédure réellement suivie pour mesurer la dépendance linéaire, y compris le type de dépendance mesuré (générique ou linéarité).

General Information

Status
Published
Publication Date
17-Sep-2020
Drafting Committee
Current Stage
PPUB - Publication issued
Start Date
18-Sep-2020
Completion Date
25-Sep-2020
Ref Project

Relations

Overview

IEC 60904-10:2020 is an international standard published by the International Electrotechnical Commission (IEC) that defines methods for measuring the linear dependence and linearity of electrical parameters in photovoltaic (PV) devices. This third edition updates and refines procedures to assess how electrical parameters, such as short-circuit current, vary linearly with test parameters like irradiance and temperature. It introduces advanced measurement techniques, precise data analysis methods, and improved reporting guidelines to support accurate PV device characterization.

This standard is essential for professionals involved in PV device testing, calibration laboratories, and manufacturers aiming to ensure device performance aligns with ideal linear behavior or to quantify deviations due to non-linearities.

Key Topics

  • Linear Dependence and Linearity
    The standard distinguishes between generic linear dependence-the linear relationship of any electrical parameter with a test variable-and linearity, specifically the short-circuit current dependency on solar irradiance. This differentiation targets tailored measurement and analysis methods for PV characterization.

  • Measurement Procedures
    Procedures are provided for measurements conducted both under natural sunlight and controlled solar simulator conditions. Techniques include:

    • Differential spectral responsivity measurements,
    • Two-lamp and extended N-lamp methods for short-circuit current linearity assessment.
  • Apparatus and Setup
    Detailed technical requirements for apparatus used to perform linearity tests ensure consistency and reliability. The apparatus includes systems designed to minimize spectral mismatch and accurately record electrical responses under varying irradiance or temperature.

  • Data Analysis and Calculation
    The standard separates data analysis for general linear dependence and short-circuit current linearity. It introduces:

    • Use of least squares fitting considering measurement uncertainties,
    • Specific formulas to calculate non-linearity including a newly defined linearity factor,
    • Methods to correct irradiance readings based on non-linearity of PV reference devices.
  • Spectral Effects Consideration
    IEC 60904-10 emphasizes the impact of spectral variations on measurement accuracy, guiding users on how to account for spectral mismatch effects in linearity assessments.

  • Reporting Requirements
    Clear guidelines specify mandatory information for documenting test results, including:

    • Type of linear dependence measured,
    • Measurement conditions,
    • Applied procedures and corrections,
    • Analysis methods to ensure transparency and reproducibility.

Applications

IEC 60904-10:2020 is highly relevant for industries and research fields focusing on photovoltaic technologies by providing a robust framework to:

  • Calibrate PV Devices
    Ensuring PV modules and reference cells exhibit known or quantifiable linear behavior with irradiance and temperature enhances calibration accuracy and traceability.

  • Quality Control in Manufacturing
    Manufacturers use linearity measurements to detect anomalies or deviations in PV device production, guaranteeing consistent performance.

  • Performance Characterization
    Researchers and testing labs can characterize PV devices under different environmental conditions to understand device behavior and improve models.

  • Reference Device Validation
    Validation and correction of PV reference devices’ irradiance readings facilitate improved solar measurements critical in research and deployment.

  • Standards Compliance
    Aligning with IEC 60904-10 ensures compatibility with other IEC standards (e.g., IEC 61853-1), thereby supporting certification and market acceptance worldwide.

Related Standards

  • IEC 60904 Series
    This part 10 standard complements other parts in the IEC 60904 series, which cover general definitions, reference solar cells, measurement methods, and performance characterization of photovoltaic devices.

  • IEC 61853-1
    Focuses on PV module performance testing and energy rating, referencing IEC 60904-10 for irradiance linearity verification.

  • IEC 60904-5
    Defines requirements for photovoltaic reference devices for calibrating solar simulators and field measurements.

  • Electropedia and IEC Glossary
    Terminology related to PV measurements and linearity concepts can be explored via IEC’s Electropedia and Glossary resources for standardized language and definitions.


By following IEC 60904-10:2020, stakeholders gain access to precise and internationally harmonized methods for characterizing the linear behavior of photovoltaic devices-vital for optimized PV system design, validation, and quality assurance. The standard’s comprehensive approach enables trustworthy performance evaluation, fostering innovation and confidence in solar energy technologies.

Standard
IEC 60904-10:2020 - Photovoltaic devices - Part 10: Methods of linear dependence and linearity measurements
English and French language
56 pages
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Frequently Asked Questions

IEC 60904-10:2020 is a standard published by the International Electrotechnical Commission (IEC). Its full title is "Photovoltaic devices - Part 10: Methods of linear dependence and linearity measurements". This standard covers: IEC 60904-10:2020 describes the procedures used to measure the dependence of any electrical parameter (Y) of a photovoltaic (PV) device with respect to a test parameter (X) and to determine the degree at which this dependence is close to an ideal linear (straight-line) function. It also gives guidance on how to consider deviations from the ideal linear dependence and in general on how to deal with non-linearities of PV device electrical parameters. This third edition cancels and replaces the second edition published in 2009. This edition includes the following significant technical changes with respect to the previous edition: a. Modification of title. b. Inclusion of an Introduction explanatory of the changes and the reasoning behind them. c. Inclusion of a new Clause Terms and Definitions (Clause 3), with distinction between generic linear dependence and linear dependence of short-circuit current versus irradiance (linearity). d. Explicit definition of equivalent sample (Clause 4). e. Technical revision of the apparatus (Clause 5), of the measurement procedures (Clause 6 to Clause 8) and of the data analysis (Clause 9), with separation of the data analysis for a generic linear dependence from the data analysis specific to linearity (i.e. short-circuit current dependence on irradiance) assessment. Additionally, inclusion of impact of spectral effects on both linearity and linear dependence assessment. f. Introduction of specific data analysis for two-lamp method, making it fully quantitative. Addition of extended version called N-lamp method. g. Modification of the linearity assessment criterion with inclusion of a formula that can be used to correct the irradiance reading of a PV reference device for non-linearity of its short-circuit current versus irradiance. A linearity factor is specifically newly defined for this purpose. h. Revision of the requirements for the report (Clause 10) in order to improve clearness about what information is always necessary and what is dependent on the procedure actually followed to measure the linear dependence, including the type of dependence measured (generic or linearity).

IEC 60904-10:2020 describes the procedures used to measure the dependence of any electrical parameter (Y) of a photovoltaic (PV) device with respect to a test parameter (X) and to determine the degree at which this dependence is close to an ideal linear (straight-line) function. It also gives guidance on how to consider deviations from the ideal linear dependence and in general on how to deal with non-linearities of PV device electrical parameters. This third edition cancels and replaces the second edition published in 2009. This edition includes the following significant technical changes with respect to the previous edition: a. Modification of title. b. Inclusion of an Introduction explanatory of the changes and the reasoning behind them. c. Inclusion of a new Clause Terms and Definitions (Clause 3), with distinction between generic linear dependence and linear dependence of short-circuit current versus irradiance (linearity). d. Explicit definition of equivalent sample (Clause 4). e. Technical revision of the apparatus (Clause 5), of the measurement procedures (Clause 6 to Clause 8) and of the data analysis (Clause 9), with separation of the data analysis for a generic linear dependence from the data analysis specific to linearity (i.e. short-circuit current dependence on irradiance) assessment. Additionally, inclusion of impact of spectral effects on both linearity and linear dependence assessment. f. Introduction of specific data analysis for two-lamp method, making it fully quantitative. Addition of extended version called N-lamp method. g. Modification of the linearity assessment criterion with inclusion of a formula that can be used to correct the irradiance reading of a PV reference device for non-linearity of its short-circuit current versus irradiance. A linearity factor is specifically newly defined for this purpose. h. Revision of the requirements for the report (Clause 10) in order to improve clearness about what information is always necessary and what is dependent on the procedure actually followed to measure the linear dependence, including the type of dependence measured (generic or linearity).

IEC 60904-10:2020 is classified under the following ICS (International Classification for Standards) categories: 27.160 - Solar energy engineering. The ICS classification helps identify the subject area and facilitates finding related standards.

IEC 60904-10:2020 has the following relationships with other standards: It is inter standard links to IEC 60904-10:2009. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.

You can purchase IEC 60904-10:2020 directly from iTeh Standards. The document is available in PDF format and is delivered instantly after payment. Add the standard to your cart and complete the secure checkout process. iTeh Standards is an authorized distributor of IEC standards.

Standards Content (Sample)


IEC 60904-10 ®
Edition 3.0 2020-09
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
Photovoltaic devices –
Part 10: Methods of linear dependence and linearity measurements

Dispositifs photovoltaïques –
Partie 10: Méthodes de mesure de la dépendance linéaire et de la linéarité

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IEC 60904-10 ®
Edition 3.0 2020-09
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
Photovoltaic devices –
Part 10: Methods of linear dependence and linearity measurements

Dispositifs photovoltaïques –
Partie 10: Méthodes de mesure de la dépendance linéaire et de la linéarité

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 27.160 ISBN 978-2-8322-8802-3

– 2 – IEC 60904-10:2020 © IEC 2020
CONTENTS
FOREWORD . 3
INTRODUCTION . 5
1 Scope . 7
2 Normative references . 8
3 Terms and definitions . 8
4 Device selection . 9
5 Apparatus . 10
5.1 General requirements common to all procedures . 10
5.2 Apparatus for measurement of all linear dependences under natural sunlight
or with a solar simulator . 11
5.3 Apparatus for measurement of all linear dependences of short-circuit current
by differential spectral responsivity measurements . 12
5.4 Apparatus for linearity measurement of short-circuit current by two-lamp
method . 12
5.5 Apparatus for linearity measurement of short-circuit current by N-lamp
method . 12
6 Procedures to measure linearity and other linear dependences under natural
sunlight or with a solar simulator . 12
6.1 Additional general requirements for natural sunlight . 12
6.2 Mounting under natural sunlight . 13
6.3 Mounting with a solar simulator . 13
6.4 Linear dependence measurements versus irradiance . 13
6.5 Linear dependence measurements versus temperature . 16
7 Procedures to measure linearity and other linear dependence of short-circuit
current from differential spectral responsivity . 17
7.1 Linearity measurements . 17
7.2 Linear dependence measurements of short-circuit current versus
temperature . 18
8 Procedure for short-circuit current linearity measurement by the two-lamp or the
N-lamp methods . 18
8.1 Background. 18
8.2 Measurement procedure by the two-lamp method . 19
8.3 Measurement procedure by the N-lamp method . 20
9 Calculation of linear dependence and linearity . 21
9.1 General considerations . 21
9.2 Measurement uncertainty evaluation . 21
9.3 Determination of deviations from a generic linear dependence . 22
9.3.1 Generic case . 22
9.4 Determination of the short-circuit current non-linearity versus irradiance . 22
9.5 Determination of the short-circuit current non-linearity versus irradiance
using the two-lamp method . 23
9.6 Determination of the short-circuit current non-linearity versus irradiance
using the N-lamp method . 24
9.7 Requirements for maximum deviations from the ideal linear function . 25
10 Report . 26
Bibliography . 27

INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
PHOTOVOLTAIC DEVICES –
Part 10: Methods of linear dependence and linearity measurements

FOREWORD
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International Standard IEC 60904-10 has been prepared by IEC technical committee 82: Solar
photovoltaic energy systems.
This third edition cancels and replaces the second edition published in 2009. This edition
constitutes a technical revision.
This edition includes the following significant technical changes with respect to the previous
edition:
a) Modification of title.
b) Inclusion of an Introduction explanatory of the changes and the reasoning behind them.
c) Inclusion of a new Clause Terms and Definitions (Clause 3), with distinction between
generic linear dependence and linear dependence of short-circuit current versus
irradiance (linearity).
d) Explicit definition of equivalent sample (Clause 4).

– 4 – IEC 60904-10:2020 © IEC 2020
e) Technical revision of the apparatus (Clause 5), of the measurement procedures (Clause 6
to Clause 8) and of the data analysis (Clause 9), with separation of the data analysis for a
generic linear dependence from the data analysis specific to linearity (i.e. short-circuit
current dependence on irradiance) assessment. Additionally, inclusion of impact of
spectral effects on both linearity and linear dependence assessment.
f) Introduction of specific data analysis for two-lamp method, making it fully quantitative.
Addition of extended version called N-lamp method.
g) Modification of the linearity assessment criterion with inclusion of a formula that can be
used to correct the irradiance reading of a PV reference device for non-linearity of its
short-circuit current versus irradiance. A linearity factor is specifically newly defined for
this purpose.
h) Revision of the requirements for the report (Clause 10) in order to improve clearness
about what information is always necessary and what is dependent on the procedure
actually followed to measure the linear dependence, including the type of dependence
measured (generic or linearity).
The text of this International Standard is based on the following documents:
FDIS Report on voting
82/1759/FDIS 82/1784/RVD
Full information on the voting for the approval of this International Standard can be found in
the report on voting indicated in the above table.
This document has been drafted in accordance with the ISO/IEC Directives, Part 2.
A list of all parts of the IEC 60904 series, under the general title Photovoltaic devices, can be
found on the IEC website.
The committee has decided that the contents of this document will remain unchanged until the
stability date indicated on the IEC website under "http://webstore.iec.ch" in the data related to
the specific document. At this date, the document will be
• reconfirmed,
• withdrawn,
• replaced by a revised edition, or
• amended.
INTRODUCTION
IEC 60904-10 is the reference document for several IEC standards when the linear
dependence of one or more electrical parameters of a photovoltaic (PV) device has to be
assessed in relation to a test parameter. Test parameters are usually either the device
temperature or the irradiance. In order to better reflect the different cases to be handled and
the peculiarities of the linear dependence of the short-circuit current of a PV device on the
irradiance, IEC 60904-10 has been extensively revised.
To avoid confusion, in this document the word “linearity” will be used only for the dependence
of the short-circuit current (I ) on the irradiance (G), while all the other dependences will be
SC
referred to as generic linear dependence (when not explicitly described).
Three major technical changes have been included in this third edition compared to the
second edition.
The first main change is the split of the data analysis for the linearity from the one to be used
for a generic linear dependence (like for example V (T), which gives the open-circuit voltage
OC
as function of temperature). The latter keeps the same approach already included in the
previous edition, i.e. the least squares fit method, with addition of the recommended use of
the measurement uncertainties within the data analysis. The former applies the proportionality
function that describes the dependence between I and G for an ideal linear PV device. It
SC
also makes use of the calibration value of the I to establish a reference point towards which
SC
the non-linearity is explicitly referred. Also, the impact of test spectra and spectral mismatch
on both linearity and generic linear dependence is now considered.
Following this new approach for the linearity assessment, the second major change involves a
modification of the definition of non-linearity (referred now explicitly to the calibration value)
and the inclusion of a formula to correct the measured irradiance for the non-linearity of the
PV device used to measure it. Such a PV device is usually a reference device. However,
IEC 61853-1 explicitly considers the case of using the short-circuit current of the PV device
itself to measure the irradiance when its linearity has been proved (Note in IEC 61853-1:2011:
8.1). A correction of the actual irradiance measurement to account for deviations of I from
SC
linearity is therefore relevant when the irradiance is measured by a reference device as well
as by the device under test itself. In principle, this can be extended to non-linear devices as
well, provided that the non-linearity information is stated in addition to the calibration value of
the PV device itself. The irradiance correction for non-linearity is made in this document by
means of a multiplication factor, resembling the same approach used in the IEC 60904-7 for
the spectral mismatch correction. This formula has been introduced in order to address the
explicit reference of the other standards to IEC 60904-10 in terms of handling non-linear
devices. However, this formula can be useful to correct deviations from linearity within the
acceptance limits even in the case of reference devices classified as linear according to the
previous edition of this standard.
The third main change is the revision of the two-lamp method approach. This is achieved first
by the introduction of a specific data analysis for the two-lamp method, which was a simple
pass/fail test in the second edition and gains now the status of a quantitative method. This
change is crucial in order to have results, obtained by any procedure for linearity
measurements allowed by this standard, to be fully comparable to each other within their
stated measurement uncertainties. Thereby, the irradiance correction formula is also
applicable to the results from the two-lamp method. With these additions, the two-lamp
method becomes the simplest quantitative method to assess the linearity (i.e. dependence of
short-circuit current I on irradiance) of PV devices, not even requiring a reference device
SC
when devices under test are single PV cells. An extended version called N-lamp method has
been included, which overcomes some limitations of the two-lamp method.
A secondary change, which was introduced to improve locating the necessary procedure
within the document, is the distinction between the cases of irradiance and of temperature as
test parameter, i.e. the parameter being varied and on which the dependence is checked.

– 6 – IEC 60904-10:2020 © IEC 2020
Furthermore, when the linear dependence of a device parameter (e.g. I ) has to be
SC
assessed towards more than a single test parameter, intermediate steps applying the
procedures described by this standard can be followed if the device under test is stable
according to the criterion given in IEC 61215-1 and its relevant part. For example, the
measurement of a power matrix as defined by IEC 61853-1 requires the measurement of the
maximum power as a function of both irradiance and temperature. In this case, the most
convenient way of performing the power matrix measurement is usually to vary one parameter
(e.g. the temperature) while keeping the other (e.g. the irradiance) steady, and then to repeat
this procedure at different levels of the second parameter until the full matrix is completed. In
this view, the second parameter would be considered as the fixed one, and the first one would
be the test parameter towards which the linear dependence is evaluated according to this
standard. However, once the full power matrix has been measured, the subsequent data
analysis of the maximum power (as well as of any other relevant electrical parameter) of the
device under test can be done by considering either parameter as the test parameter as long
as the other one is kept constant. Therefore, a linear dependence can be assessed with
respect to one or the other parameter, independent of the measurement procedure used to
obtain the data.
PHOTOVOLTAIC DEVICES –
Part 10: Methods of linear dependence and linearity measurements

1 Scope
This part of IEC 60904 describes the procedures used to measure the dependence of any
electrical parameter (Y) of a photovoltaic (PV) device with respect to a test parameter (X) and
to determine the degree at which this dependence is close to an ideal linear (straight-line)
function. It also gives guidance on how to consider deviations from the ideal linear
dependence and in general on how to deal with non-linearities of PV device electrical
parameters. Typical device parameters are the short-circuit current I , the open-circuit
SC
voltage V and the maximum power P . Typical test parameters are the temperature T and
OC max
the irradiance G. However, the same principles described in this document can be applied to
any other test parameter with proper adjustment of the procedure used to vary the parameter
itself.
Performance evaluations of PV modules and systems, as well as performance translations
from one set of temperature and irradiance to another, frequently rely on the use of linear
equations (see for example IEC 60891, IEC 61853-1, IEC 61829 and IEC 61724-1). This
document lays down the requirements for linear dependence test methods, data analysis and
acceptance limits of results to ensure that these linear equations will give satisfactory results.
Such requirements prescribe also the range of the temperature and irradiance over which the
linear equations may be used. This document gives also a procedure on how to correct for
deviations of the short-circuit current I from the ideal linear dependence on irradiance
SC
(linearity) for PV devices, regardless of whether they are classified linear or non-linear
according to the limits set in 9.7. The impact of spectral irradiance distribution and spectral
mismatch is considered for measurements using solar simulators as well as under natural
sunlight.
The measurement methods described herein apply to all PV devices, with some caution to be
used for multi-junction PV devices, and are intended to be carried out on a device, or in some
cases on an equivalent device of identical technology, that is stable according to the criteria
set in the relevant part of IEC 61215. These measurements are meant to be performed prior
to all measurements and correction procedures that require a linear device or that prescribe
restrictions for non-linear devices.
The main methodology used in this document is based on a fitting procedure in which a linear
(straight-line) function is fitted to a set of measured data points {X ,Y }. The linear function
i i
uses a least-squares fit calculation routine, which in the most advanced analysis also
accounts for the expanded combined uncertainty (k=2) of the measurements. The linear
function crosses the origin in the case of short-circuit current data versus irradiance. The
deviation of the measured data from the ideal linear function is also calculated and limits are
prescribed for the permissible percentage deviation.
Procedures to determine the deviation of the Y(X) dependence from the linear (straight-line)
function are described in Clause 6 (measurements under natural sunlight and with solar
simulator), Clause 7 (differential spectral responsivity measurements) and Clause 8
(measurements via two-lamp and N-lamp method). Data analyses to determine the deviations
from the linear function are given in Clause 9.
A device is considered linear for the specific measured dependence Y(X), when it meets the
requirements of 9.7.
– 8 – IEC 60904-10:2020 © IEC 2020
2 Normative references
The following documents are referred to in the text in such a way that some or all of their
content constitutes requirements of this document. For dated references, only the edition
cited applies. For undated references, the latest edition of the referenced document (including
any amendments) applies.
IEC 60891, Photovoltaic devices – Procedures for temperature and irradiance corrections to
measured I-V characteristics
IEC 60904-1, Photovoltaic devices – Part 1: Measurement of photovoltaic current-voltage
characteristics
IEC 60904-1-1, Photovoltaic devices – Part 1-1: Measurement of current-voltage
characteristics of multijunction photovoltaic (PV) devices
IEC TS 60904-1-2, Photovoltaic devices – Part 1-2: Measurement of current-voltage
characteristics of bifacial photovoltaic (PV) devices
IEC 60904-2, Photovoltaic devices – Part 2: Requirements for photovoltaic reference devices
IEC 60904-3, Photovoltaic devices – Part 3: Measurement principles for terrestrial
photovoltaic (PV) solar devices with reference spectral irradiance data
IEC 60904-7, Photovoltaic devices – Part 7: Computation of the spectral mismatch correction
for measurements of photovoltaic devices
IEC 60904-8, Photovoltaic devices – Part 8: Measurement of spectral responsivity of a
photovoltaic (PV) device
IEC 60904-8-1, Photovoltaic devices – Part 8-1: Measurement of spectral responsivity of
multijunction photovoltaic (PV) devices
IEC 60904-9, Photovoltaic devices – Part 9: Solar simulator performance requirements
IEC 61215 (all parts), Terrestrial photovoltaic (PV) modules – Design qualification and type
approval
IEC 61724-1, Photovoltaic system performance – Part 1: Monitoring
IEC TS 61836, Solar photovoltaic energy systems – Terms, definitions and symbols
ISO TS 28037, Determination and use of straight-line calibration functions
3 Terms and definitions
For the purposes of this document, the terms and definitions given in IEC TS 61836 and the
following apply.
ISO and IEC maintain terminological databases for use in standardization at the following
addresses:
• IEC Electropedia: available at http://www.electropedia.org/
• ISO Online browsing platform: available at http://www.iso.org/obp

3.1
linear dependence
any generic linear (straight-line) dependence of a PV device parameter on a test parameter
EXAMPLE A common linear dependence for PV devices is the one between the open-circuit voltage and the
temperature of the PV device.
Note 1 to entry: This term embraces all possible linear dependences based on a straight line. The linearity
defined in the following item is only one special case of them.
3.2
linearity
linear dependence that describes the pure proportionality of the short-circuit current of the PV
device to the irradiance that illuminates it
Note 1 to entry: The concept of linearity in physics, which is applicable also to PV devices, implies pure
proportionality between the two variables involved in it.
Note 2 to entry: One of the major sources of observed non-linearity of solar PV cells is due to series resistance,
which can cause the short-circuit current measured as output of the solar cell to be non-linear even when the
photocurrent is linear. All methods included in this document address non-linearity of the short-circuit current, not
of the photocurrent.
3.3
limiting junction
junction in a multi-junction photovoltaic device in which under given illumination conditions the
lowest photocurrent is generated
[SOURCE: IEC 60904-1-1:2017, 3.1, modified – “photovoltaic current” has been replaced by
“photocurrent”.]
4 Device selection
The measurement procedure shall be applied to a full-size device, if possible. If this is not
possible, a small sample equivalent in construction and materials to the full-size device to be
tested for linearity shall be used. The full-size device and the equivalent device should be
stable according to the relevant part of IEC 61215. However, an equivalent sample shall not
be used to measure the linearity of a reference device (as defined by IEC 60904-2).
A small sample is deemed to be equivalent to the full-size PV device under test (DUT) when
its physical properties relevant to the linear dependence to be measured are the same as for
the full-size PV device. This requirement applies to dependence versus irradiance as well as
to dependence versus temperature. Also, the configuration of the electrical connections
should be well represented.
In particular, when irradiance is the test parameter the relevant optical properties of the small
device (including the packaging) shall be the same as for the represented device. This
requirement includes for example the use of the same type of front glass (including texture
and refraction index) and the same aperture angle that are used in the full-size device.
In the case of PV devices active on both sides (bifacial PV devices, which shall conform to
IEC TS 60904-1-2), the above requirement applies to both front and rear sides of the device.
When the equivalence to the full-size device cannot be achieved with a small sample, the
report of the measurement results shall state the limits of their validity.

– 10 – IEC 60904-10:2020 © IEC 2020
5 Apparatus
5.1 General requirements common to all procedures
The following requirements and recommendations are valid for all linear dependences and for
all measurement procedures, unless explicitly specified differently. Requirements and
recommendations that are specific to the apparatuses used for each type of measurement are
given in the following subclauses.
Light sources characterised by intense peaks over a broad continuum, like for example Xenon
sources or some lamps based on light emitting diodes (LEDs), should be carefully evaluated
before use. Indeed, for some PV devices and/or technologies the spectral responsivity can
vary with temperature as well as with irradiance level. Therefore, it can pass through various
emission lines in the lamp spectrum as temperature or irradiance varies. When this occurs, it
can cause shifts in performance that are related mainly to a change in the interaction between
the band gap region of the spectral responsivity and the actual spectral irradiance in the same
wavelength range. If this possibility is not properly assessed in each specific case, such shifts
could be misinterpreted as deviations from the linear dependence while they are not.
However, based on the measured DUT spectral responsivity as a function of temperature or of
irradiance (depending on what applies) and on the measured spectral irradiance, the
magnitude of this effect can be calculated by performing a SMM calculation according to
IEC 60904-7 as a function of temperature or of irradiance (depending on what applies). Some
guidance on how to do this is reported in the Bibliography. The SMM calculation can then be
applied as SMM correction to every single measurement at all temperatures different from
(depending on what applies). If the change
25 °C or irradiance levels other than 1 000 W/m
in SMM is not larger than 1 % over the entire range of temperatures or than ±0,5 % for
irradiances, it may alternatively be included as component of the SMM uncertainty in the
measurement uncertainty calculation.
EXAMPLE Crystalline silicon’s band gap is known to shift due to temperature changes.
When the test parameter is the irradiance, the equipment and procedure used to change
irradiance are to be verified with a spectroradiometer. This applies to all measurement
procedures other than the two-lamp and N-lamp methods both applied to single cells and
other than the linearity measurement by means of differential spectral responsivity. A
radiometer is allowed as alternative to the spectroradiometer only if the following conditions
are both met:
a) the reference device is spectrally-matched to the DUT, and
b) the setup to measure the linearity is a solar simulator used only with filtering elements
neutral with respect to the spectrum of the light.
To reduce the change in the heat load in all measurements where the irradiance is the test
parameter, and therefore to improve the temperature stabilization of the DUT over the whole
measurement sequence, it can be useful to reduce the infrared portion of the light whose
energy is below the DUT’s energy band gap by interposing suitable filters between the light
beam and the test plane.
NOTE Meshes or light source’s filters are believed to be the most suitable methods for changing irradiance on
large surfaces.
In the case of linearity measurements of single PV cells by means of the two-lamp or N-lamp
methods, the variation in spectral irradiance and the spatial non-uniformity of the light sources
are not crucial and as such no restriction is given for them. Instead, when the PV devices are
made of series-connected cells, the light sources in the two-lamp or N-lamp methods should
conform to class BBA or better according to IEC 60904-9 over the area covered by the DUT.
For both single-cells and series-connected PV devices, the short-term instability of the light
(STI, defined in IEC 60904-9) shall be less than 0,5 % during the period necessary to
measure each of the required triplets of signals (see 8.1). If this is not achievable, one
photoactive monitoring device (e.g. a photodiode) shall be used to monitor individually each
light source; its reading shall then be used to correct the short-circuit current signal of the
DUT for the light’s temporal instability. In any case, the variation of the irradiance not
corrected for shall be included in the measurement uncertainty calculation.
Under specific conditions and for all affected measurement procedures, the change in the
relative spectral irradiance distribution may be considered as an uncertainty contribution to
the overall measurement uncertainty instead of being systematically corrected for. The
condition to be met is that the change in the relative spectral irradiance distribution shall not
result in more than ±0,5 % change in the spectral mismatch (SMM) of the DUT short-circuit
current (refer to IEC 60904-7 for SMM calculation). With regard to spatial uniformity of the
irradiance on the test plane (IEC 60904-9), any change to it due to the variation in the
irradiance level should not result in more than ±0,5 % change in the DUT short-circuit current.
If the DUT is a multi-junction device, the spatial variation of the spectral irradiance on the test
plane should be carefully considered while changing the irradiance level. In particular, it shall
not cause a change of the limiting junction with respect to the one that is limiting under the
relevant reference spectrum defined by IEC 60904-3. Also, accounting for the proper SMM at
each irradiance level as required by Clause 7 of IEC 60904-1-1:2017 shall be done before
calculating the linearity of the multi-junction device.
When the test parameter is the temperature, uniformity of the DUT temperature shall be
considered in the uncertainty calculation of the measurement.
In general, an uncertainty calculation shall always be done by explicitly considering the
specific setup under use and the measurement performed (see 9.2 for additional details).
5.2 Apparatus for measurement of all linear dependences under natural sunlight or
with a solar simulator
The following equipment shall be used for any linear dependence. Where no specification is
explicitly given, the listed item shall be considered as required for any test parameter.
a) Equipment necessary to measure I-V curves of the DUT under natural or simulated
sunlight, as listed in IEC 60904-1 or its relevant Part. The equipment may be limited to
that necessary for the measurement of the short-circuit current (I ) in case the linear
SC
dependence measurements (versus irradiance or temperature) are of reference cells.
b) Means for actively controlling the temperature of the DUT and of the reference device.
Alternatively, means of limiting light exposure with a long-pulsed light source or a
removable shade in the case of measurements under natural sunlight or with a steady-
state solar simulator.
c) If the test parameter is the irradiance (see 6.4), equipment necessary to change it over
the range of interest without affecting the relative spectral irradiance distribution and the
spatial uniformity.
d) If the test parameter is the temperature (see 6.5), equipment or means necessary to
change the DUT temperature over the range of interest.

– 12 – IEC 60904-10:2020 © IEC 2020
5.3 Apparatus for measurement of all linear dependences of short-circuit current by
differential spectral responsivity measurements
a) Equipment to measure the differential spectral responsivity of the DUT in accordance with
IEC 60904-8 (for single-junction devices) or IEC 60904-8-1 (for multi-junction devices) to
a repeatability equal or less than ±0,5 % of the reading.
b) If the test parameter is the temperature, equipment necessary to change the DUT
temperature over the range of interest.
5.4 Apparatus for linearity measurement of short-circuit current by two-lamp method
No reference device is required. The following equipment is required:
a) Two light sources A and B that can be controlled individually, with total in-plane irradiance
achievable by the combined source A+B at least as high as the upper limit of the range of
interest. The light sources A and B may be two individual lamps, two groups of lamps or a
single lamp with suitable masking in front of it to simulate a double-lamp setup (see the
Bibliography for examples). To facilitate the achievement of the starting irradiance level, it
is recommended that the spectral distribution of the light sources extends over a
wavelength range wide enough to cover at least two thirds of the wavelength range where
the spectral responsivity of the DUT is more intense. Also, the influence of the infrared
portion of the spectral distribution should be assessed in terms of its influence on the
device temperature to be maintained according to 5.4 c).
NOTE 1 To reduce the change in the heat load, and therefore to improve the temperature stabilization of the
DUT over the whole measurement sequence, it can be useful to reduce the infrared portion of the light whose
energy is below the DUT’s energy band gap by interposing suitable filters between the light beam and the test
plane.
b) Equipment necessary to measure the short-circuit current of the DUT with a repeatability
of ±0,1 % or better of the reading.
c) Equipment to control the temperature of the DUT, if necessary to keep it within ±1 °C of
the target temperature.
NOTE 2 The use of a reference device during the linearity measurement is not necessary for the two-lamp
method, although it can be useful in order to immediately verify that the irradiance range of interest is fully
covered. If a reference device is not used, an iterative approach can be followed to extend the irradiance range to
the one of interest.
5.5 Apparatus for linearity measurement of short-circuit current by N-lamp method
The apparatus is the same as for the two-lamp method, with the difference that more than two
light sources (1, … , N) are required. The individual light sources shall produce about the
same short-circuit current in the device under test.
6 Procedures to measure linearity and other linear dependences under natural
sunlight or with a solar simulator
6.1 Additional general requirements for natural sunlight
Measurements under natural sunlight shall only be made when the following conditions are
met, in addition to the general ones set in 5.1:
– The total in-plane irradiance is at least as high as the upper limit G of the range of
interest.
– The irradiance variation caused by short-term oscillations (e.g. due to clouds, haze, or
smoke) is less than ±2 % of the total in-plane irradiance as measured by the reference
device. These variations shall be corrected for by using the reading of the reference
device.
– The wind speed is less than 2 m/s.

6.2 Mounting under natural sunlight
6.2.1 Mount the reference device co-planar with the DUT within 2° so that both are normal
to the direct solar beam within ±5°. Connect to the necessary instrumentation. The
measurements described in the following subclauses should be made as expeditiously as
possible within a few hours on the same day to minimize the effect of changes in the spectral
conditions. SMM calculation according to IEC 60904-7 is required if the reference device is
not spectrally matched to the DUT or when the test parameter is the temperature.
6.2.2 If the DUT and the reference device are equipped with temperature controls, set the
controls at the desired level. If temperature controls are not used and shading of the DUT
from the sun is applied, allow the DUT to stabilize within ±1 °C of the target temperature
before starting the
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IEC 60904-10:2020 is a standard that explains the methods for measuring the linear dependence of electrical parameters in photovoltaic (PV) devices. It provides guidance on how to assess deviations from ideal linearity and how to handle non-linearities in PV device parameters. This is the third edition of the standard, replacing the second edition from 2009. The changes in this edition include modifications to the title, an introduction explaining the changes and the reasons for them, a new section on terms and definitions, a definition of equivalent sample, revisions to the apparatus, measurement procedures, and data analysis, including the impact of spectral effects on linearity assessment. It also introduces a specific data analysis for the two-lamp method and a new formula for correcting the irradiance reading of a PV reference device for non-linearity. There are also revisions to the requirements for the report, clarifying the necessary information based on the type of dependence measured.