# The Comprehensive Study of Electrical Faults in PV Arrays

Authors: M. Sabbaghpur Arani; M. A. Hejazi
Journal: Journal of Electrical and Computer Engineering
 (2016)

---

## Abstract

The rapid growth of the solar industry over the past several years has expanded the significance of photovoltaic (PV) systems. Fault analysis in solar photovoltaic (PV) arrays is a fundamental task to increase reliability, efficiency, and safety in PV systems and, if not detected, may not only reduce power generation and accelerated system aging but also threaten the availability of the whole system. Due to the current-limiting nature and nonlinear output characteristics of PV arrays, faults in PV arrays may not be detected. In this paper, all possible faults that happen in the PV system have been classified and six common faults (shading condition, open-circuit fault, degradation fault, line-to-line fault, bypass diode fault, and bridging fault) have been implemented in 7.5 KW PV farm. Based on the simulation results, both normal operational curves and fault curves have been compared.


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## Body

## 1. Introduction

Renewable energy is energy which can be obtained from natural resources that can be constantly replenished like water, wind, sun rays, and so forth [1]. It is necessary to achieve more sustainable energy system. Among the most important renewable sources and most widely used across the globe is the solar energy [2, 3]. PV markets are growing fast because of their advantages such as long life of PV panel, installation in different geographical conditions such as impassible areas and mountains, usability on mobile hosts, easy maintenance, off-grid installing, and ability to connect to utility grid which have depicted a bright future for the use of photovoltaic system in the world [4, 5]. On the other hand, the rapid growth rate is mainly due to the need for alternatives to fossil fuel-based electricity generation, concerns over the global environment, reduced photovoltaics costs, and interests in distributed energy sources to improve power system reliability [6, 7]. The efficiencies of inverters which convert the direct current generated by the modules into alternate current are already close to maximum about 99 percent [8]. Therefore, no significant gains are possible from improving inverter efficiency. Alternately, PV array outputs can be increased by improving the efficiency of the PV modules. The last surveys have showed that the median values of efficiency of different modules technologies such as GaAs (thin film), crystalline silicon, and Si (Amorphous) were close to 28.8, 25.6, and 10.2 percent, respectively [9, 10]. Improving efficiencies through better materials is an important field [11]. Another way to improve PV array output is to ensure that the array operates in optimal output conditions at all times. PV arrays once installed are expected to operate with minimal human intervention. PV arrays perform below optimum output power levels due to faults in modules, wiring, inverter, and so forth. Most of these faults remain undetected for long periods of time resulting in loss of power. Technicians sent to locate and fix the faults within an array need to take time consuming field measurements. So enquiries for lower cost and high efficiency-devices motivate the researchers to increase the reliability of PV system.Fault analysis in the solar PV arrays is a fundamental task to eliminate any kind of dangerous and undesirable situations arising in the operation of PV array due to the presence of faults. They must be detected and cleared off rapidly. Without proper fault detection, noncleared faults in PV arrays not only cause power losses but also might lead to safety issues and fire hazards [12]. Photovoltaic systems are subjected to different sort of failures; thus, before starting monitoring system and fault diagnosis methods, it is necessary to identify what kind of failures can be found in the real system. The first step in this challenge is recognition and classification of all possible electrical faults in PV arrays.The fault detection methods for the PV system are classified in the visual (discoloration, browning, surface soiling, and delamination), thermal (thermal extraordinary heating), and electrical (dark/illuminatedI
-
V curve measurement, transmittance line diagnosis, and RF measurement). Using electrical signatures is more advantageous and promising for the monitoring and diagnostic systems [13, 14]. This characteristic of electrical methods offers helpful data in diagnosing a PV cell’s health. Furthermore, the I
-
V and P
-
V curves analyses are fundamental tool to understand the fault scenarios among PV strings and the impact of these fault in basic output parameters such as open-circuit voltage (V
o
c), short-circuit current (I
s
c), maximum power point voltage (V
m
p
p), and maximum power point current (I
m
p
p) in I
-
V and P
-
V curves.In this paper in Section1 the basics of PV modules model as electrical components are described. In Section 2 challenges to fault analysis in PV arrays are expressed. In Section 3 we introduce comprehensive classification of electrical faults in a PV system. Finally, based on the circuit-based simulation model, various types of faults will be developed by changing conditions or inputs in the simulation, and the I
-
V and P
-
V characteristics of faulted and clean PV array have been compared for each type of fault.


## 2. Background

The issue of modeling of PV arrays under electrical faults has been largely investigated in the literature and gets some certain results. A survey of state-of-the-art of ground, line-to-line, and arc fault detection is presented in [15].In [16] Chao et al. developed a circuit-based simulation model of a photovoltaic panel using the PSIM software. A 3 kW PV array system was established using extended correlation function to identify the different fault types of the PV system. In [17] Takashima et al. used earth capacitance measurement to locate faults in PV module arrays. Furthermore, in another study [14], they experimentally studied earth capacitance measurement and Time-Domain Reflectometry (TDR) to detect degradation (increase in series resistance between the modules) and the fault position in the string. In [18] Yagi et al. developed a diagnostic technology for PV systems based on statistically analyzed data to detect shading effect and inverter failure in PV arrays. In [19] unique fault evolution in a PV array during night-to-day transition and effect of a maximum power point tracker on fault current have been discussed.In [20] Yamada et al. conducted simulations for PV modules on the reflection loss using the optical performance of a four-layer encapsulation. In [21] Nguyen studied impact of varying position, different levels of solar irradiation, and the performance of bypass diode under nonuniform irradiation levels. In [22] Firth et al. developed novel analysis techniques to identify four types of faults: sustained zero efficiency faults; brief zero efficiency faults; shading; and nonzero efficiency nonshading faults. Three independent applications to measure the effects of soiling have been suggested by Hammond et al. in [23]. In [16, 24] only power versus voltage (P
-
V) characteristics is simulated for a few types of faults in a PV array. In addition, [25] discusses the MPPT reliability of a PV array under partial shading rather than faults in the array.In none of previous studies mentioned above comprehensive classification of electrical faults scenarios in the PV system and the impact of all possible faults on theI
-
V and P
-
V curves have been performed properly.


## 3. Modeling and Simulation of PV Modules

### 3.1. Models for Solar Cells

Because of the nonlinearI
-
V characteristics of solar cells, it is not appropriate to simply model them as a constant voltage source or a constant current source. The electrical performance of a photovoltaic cell can be approximated by the equivalent circuit shown in Figures 1(a) and 1(b). The one-diode model and the double-diode model are most commonly used to describe the electrical behaviors of solar cells [26, 27].Figure 1
Equivalent circuits for (a) the one-diode model and (b) the double-diode model.
(a)
(b)In this paper we adopt the one-diode model for solar cells in simulation, because the one-diode model has several advantages over the double-diode model such as enough accuracy for steady-state and fault analysis for PV modules in system level, data available for the most PV modules in market, and rapid responses in simulation environment [28].Based on the properties ofp
-
n semiconductors and one-diode model, the I
-
V characteristics of a PV panel with N
s cells are characterized using the following equation:(1)
I
=
I
L
-
I
S
exp
⁡
q
V
+
I
R
c
,
s
N
s
A
k
T
-
1
-
V
+
I
R
c
,
s
R
c
,
s
h
.The dependence of the photocurrent on the irradiance (G) and cell temperature (T) can be described by the following empirical equation [11, 26, 27]:(2)
I
L
=
I
L
0
+
C
T
T
-
T
r
G
G
0
.The reverse saturation current I
S varies with solar cell surface temperature (T) [11, 26, 27]. It can be described by(3)
I
S
=
I
S
0
T
T
r
3
exp
⁡
q
E
g
k
A
1
T
r
-
1
T
.Depending on the semiconductor material used for PV modules, E
g may have different values. Usually E
g is approximate 1.12 eV for crystalline silicon, 1.03 eV for copper indium diselenide (CIS), 1.7 eV for amorphous silicon, and 1.5 eV for cadmium Telluride (CdTe) under room temperature [11, 26, 27].


### 3.2. Modeling Algorithm

In real working conditions, solar cells packaged in the same module usually have almost the same irradiance conditions. For these reasons, assume that all the solar cells in each PV module have identical characteristics and working conditions. Thus, a PV module can be viewed as a basic unit consisting of identical solar cells. Therefore, modeling and simulation of PV modules become key steps for PV system normal and fault analysis. A bypass diode is usually connected in parallel across multiple cells to improve operation of solar system under nonuniform condition.According to the one-diode model of PV modules in Figure2, by using voltage V
P
V, T, and G as input parameters, the modeling algorithm solves equations to find the mathematical solution for I and feeds the solution to a controlled current source in Figure 2. Figures 3(a) and 3(b) show the model for PV modules in MATLAB/Simulink. Using the widely used one-diode model for each individual solar panel, this paper builds simulation PV array (7.5 kW) in MATLAB/Simulink consisting of 6
×
5 PV panels that is capable of studying faults among panels. The related parameters of each PV panel under STC (G
=
1000 W/m2 and T = 25°C) are P
m
p
p
=
250 W, V
m
p
p
=
31 V, I
m
p
p
=
8.07 A, N
s
=
20, V
o
c
=
37.92 V, and I
s
c
=
8.62 A and C
T
=
-
0.33
%
/°C. As shown in Figure 3(b), panels connected in parallel increase the current and those connected in series provide greater output voltages.Figure 2
The numerical one-diode model for a PV module.Figure 3
(a) Equivalent circuit of a solar and (b) a schematic diagram of a PV farm system with6
×
5 modules.
(a)
(b)


## 3.1. Models for Solar Cells

Because of the nonlinearI
-
V characteristics of solar cells, it is not appropriate to simply model them as a constant voltage source or a constant current source. The electrical performance of a photovoltaic cell can be approximated by the equivalent circuit shown in Figures 1(a) and 1(b). The one-diode model and the double-diode model are most commonly used to describe the electrical behaviors of solar cells [26, 27].Figure 1
Equivalent circuits for (a) the one-diode model and (b) the double-diode model.
(a)
(b)In this paper we adopt the one-diode model for solar cells in simulation, because the one-diode model has several advantages over the double-diode model such as enough accuracy for steady-state and fault analysis for PV modules in system level, data available for the most PV modules in market, and rapid responses in simulation environment [28].Based on the properties ofp
-
n semiconductors and one-diode model, the I
-
V characteristics of a PV panel with N
s cells are characterized using the following equation:(1)
I
=
I
L
-
I
S
exp
⁡
q
V
+
I
R
c
,
s
N
s
A
k
T
-
1
-
V
+
I
R
c
,
s
R
c
,
s
h
.The dependence of the photocurrent on the irradiance (G) and cell temperature (T) can be described by the following empirical equation [11, 26, 27]:(2)
I
L
=
I
L
0
+
C
T
T
-
T
r
G
G
0
.The reverse saturation current I
S varies with solar cell surface temperature (T) [11, 26, 27]. It can be described by(3)
I
S
=
I
S
0
T
T
r
3
exp
⁡
q
E
g
k
A
1
T
r
-
1
T
.Depending on the semiconductor material used for PV modules, E
g may have different values. Usually E
g is approximate 1.12 eV for crystalline silicon, 1.03 eV for copper indium diselenide (CIS), 1.7 eV for amorphous silicon, and 1.5 eV for cadmium Telluride (CdTe) under room temperature [11, 26, 27].


## 3.2. Modeling Algorithm

In real working conditions, solar cells packaged in the same module usually have almost the same irradiance conditions. For these reasons, assume that all the solar cells in each PV module have identical characteristics and working conditions. Thus, a PV module can be viewed as a basic unit consisting of identical solar cells. Therefore, modeling and simulation of PV modules become key steps for PV system normal and fault analysis. A bypass diode is usually connected in parallel across multiple cells to improve operation of solar system under nonuniform condition.According to the one-diode model of PV modules in Figure2, by using voltage V
P
V, T, and G as input parameters, the modeling algorithm solves equations to find the mathematical solution for I and feeds the solution to a controlled current source in Figure 2. Figures 3(a) and 3(b) show the model for PV modules in MATLAB/Simulink. Using the widely used one-diode model for each individual solar panel, this paper builds simulation PV array (7.5 kW) in MATLAB/Simulink consisting of 6
×
5 PV panels that is capable of studying faults among panels. The related parameters of each PV panel under STC (G
=
1000 W/m2 and T = 25°C) are P
m
p
p
=
250 W, V
m
p
p
=
31 V, I
m
p
p
=
8.07 A, N
s
=
20, V
o
c
=
37.92 V, and I
s
c
=
8.62 A and C
T
=
-
0.33
%
/°C. As shown in Figure 3(b), panels connected in parallel increase the current and those connected in series provide greater output voltages.Figure 2
The numerical one-diode model for a PV module.Figure 3
(a) Equivalent circuit of a solar and (b) a schematic diagram of a PV farm system with6
×
5 modules.
(a)
(b)


## 4. Challenges to Fault Analysis

Only PV array has been considered as source of electrical fault in this paper. According to National Electrical Code Standard [29], fuses blow when the fault currents that flow through them become greater than at least 1.56 times their rated short-circuit current. However, because of the nonlinear I
-
V characteristics, the current-limiting nature of PV arrays, high fault impedances, low irradiance conditions, PV grounding schemes, or MPPT of PV inverters faults in PV arrays may not be cleared [30]. But because of some factors such as environmental conditions (varying irradiance level and temperature), PV array configurations and fault locations, aging, hot-spot, mismatch faults unique to PV technology, and MPPT effect, fault analysis would be more complicated and conventional protection devices may not be able to clear faults correctly. Since PV array normal operation can be affected by the presence of faults that reduce power output and cause potential damage to the array, so analysis of the I
-
V curves for describing the effect of the faults that occur in PV arrays is very important.


## 5. Typical Faults

Since some of the electrical faults, such as mismatches, occur in all arrays at all times, they result in available DC power from the array being significantly below predicted levels. Table1 shows the most common types of fault in a PV system.Table 1
Classification and definition of faults in PV system based on location and structures.
Part
Fault type
Description
DC
Mismatch faults
Partial shading [21, 31]
F1
Presence of trees, overhead power lines, or nearby buildings
Uniform irradiance distribution [32]
F2
Various irradiance intensity during the day
Soiling [23]
F3
The bird droppings and dirt on the surface of a PV module
Snow covering and hot spot [33, 34]
F4
The worst temperatures depending on the geographical location and different weather conditions
Earth fault
Upper ground fault [35, 36]
F5
An unintentional path to ground with zero fault impedance occurs between the last two modules at PV string
Lower ground fault [35, 36]
F6
An unintentional path to ground with zero fault impedance occurs between the 2nd and the 3rd two modules at PV string with large backfeed current
Arc fault
Series arc fault [37, 38]
F7
An arc fault due to discontinuity in any of the current carrying conductors resulting from solder disjoint, cell damage, corrosion of connectors, rodent damage, abrasion from different sources
Parallel arc fault [37, 38]
F8
Insulation breakdown in current carrying conductors
Line-to-line faults [19, 35]
F9
An accidental short-circuit between two points in a string with different potentials
Bypass diode faults [39]
F10
Short-circuit in case of incorrect connection
Degradation faults [40]
F11
Yellowing and browning, delamination, bubbles in the solar module, cracks in cells, defects in antireflective coating and delamination over cells and interconnections lead to degradation and increasing of the internal series resistance
Bridging fault [19, 39]
F12
Low- resistance connection between two points of different potential in string of module or cabling
Open-circuit fault [41]
F13
Physical breakdown of panel-panel cables or joints, objects falling on PV panels, and loose termination of cables, plugging and unplugging connectors at junction boxes
MPPT faults [42, 43]
F14
Problem in MPPT charge controllers
Cabling faults [44]
F15
—
Ac
Inverter faults [45]
F16
Failure of each component of inverter such as IGBTs, capacitors, and drive circuitry can result in inverter failure
Sudden natural disasters [46]
F17
Total blackout due to Lightning, storm, and so forth


## 6. Curves and Interpretation

A typical solar PV array with6
×
5 PV modules (rated at 7.5 kW) is simulated, which consists of 6 modules in series per string and 5 strings in parallel. MATLAB/Simulink models of PV array (Figure 3) under electrical faults are developed to study the performance of the faulted PV array. According to Table 1, the most frequent faults are major catastrophic failures in PV arrays which are ground faults, line-to-line faults, and arc faults [15]. This research studies six common fault types from Table 1 in 12 cases and compared the results with the normal condition. The characteristics of the PV panel with different types of faults are shown in Figures 4–9.Figure 4
The PV array configuration for shading.Figure 5
The PV array configuration for line-to-line fault.Figure 6
The PV array configuration for bypass diode short circuit.Figure 7
The PV array configuration for resistance between modules.Figure 8
The PV array configuration for bridge fault.Figure 9
The PV array configuration for string disconnection.


### 6.1. Partial Shading (F1)

The shading patterns can be very complicated due to no uniform insolation. Two identical PV arrays are used for comparison. One PV array with an arbitrary shading pattern is divided into two groups. In Case1 the half of string one has been shaded with irradiance density G
=
800 W/m2 and in Case 2 shaded modules receive two different insulations, G
=
500 and 800 W/m2. I
-
V and P
-
V characteristics of these two cases are illustrated in Figure 4 for fault analysis. Under partial shading conditions, the short-circuit current for two cases remains identical, while the open-circuit voltage slightly decreases with the increase in the number of shaded modules. I
-
V curves of all shaded groups have multiple steps, while P
-
V curves of shaded groups are characterized by multiple peaks, whose number is equal to the number of solar insolation levels received by string, respectively. The results indicate that the higher number of shaded solar modules is the lower value of power output and the position of maximum power point does not depend on location of modules under shadow. The surface temperature of solar cell is assumed to remain 298°K.


### 6.2. Line-to-Line Fault in a PV Array under STC (F9)

As shown in Figure5, line-to-line faults could happen inside PV arrays and potentially may involve large fault current or dc arcs. This research focuses on line-to-line faults, which are defined as an accidental short-circuiting between two points in the array with different potentials. In the following simulations, two cases are studied, a line-to-line fault with 2 modules (Case 3) and a line-to-line fault with 4 modules (Case 4). When a line-to-line fault occurs, the I
-
V curve of the faulted PV string will change accordingly. Since the faulted string has 4 number of modules less, it will have an open-circuit voltage reduced by 4x V
o
c. But the short-circuit current remains the same as other normal strings at I
s
c.


### 6.3. Bypass Diode Fault in a PV Array under STC (F10)

Assume in Case5 that one bypass diode is conducted or shorted and in Case 6 two bypass diodes are shorted. I
-
V and P
-
V characteristics of these two cases are shown in Figure 6. Even if only one full module is shorted by bypass diode, the maximum power and V
o
c of the PV array drops significantly and short-circuit current remains the same as other normal strings.


### 6.4. Degradation Fault in a PV Array under STC (F11)

The reason for power degradation could be the increase in the series resistance between the modules due to decreased adherence of contacts or corrosion caused by water vapor. In this case, two different resistance values are considered. Group one (Case7) has small resistance R
1
=
1 ohm and another group (Case 8) has larger resistance with R
2
=
2 ohm.This PV array with resistance is compared with the normal PV array, shown in Figure7. Although the open voltage and short current do not change much under these different conditions, the maximum power point is reduced due to increase in resistance. Therefore, an increase of the internal series resistance can result in degradation of the peak power.


### 6.5. Bridging Fault in a PV Array under STC (F12)

In simulations, bridging fault or line-to-line faults with zero fault impedance are solid faults that occur immediately. In Figure8, there is a bridging fault with one-module level difference between String 1 and String 2, which lead to unbalanced currents among PV array defined as bridging fault with small voltage difference (Case 9). Bridging fault with large voltage difference is a line-to-line fault with three-module level difference between String 1 and String 2 expressed as Case 10. Bridging faults usually involve reduced array voltage (V
o
c) but have much small reduction in array current (I
s
c). The fault with larger voltage difference between two fault points will lead to larger reduction in V
o
c and I
m
p
p and V
m
p
p.


### 6.6. Open-Circuit Fault in a PV Array under STC (F13)

An open-circuit fault is an accidental disconnection at a normal current-carrying conductor. In this section, assume in Cases11 and 12 that PV arrays have a disconnection problem in one string and two strings, respectively, and then the I
-
V and P
-
V characteristics have been compared with array without any disconnection under normal condition, as shown in Figure 9. The open voltage of these cases remains almost the same, while the short current and maximum power decrease linearly with the increase in the number of disconnected strings.


## 6.1. Partial Shading (F1)

The shading patterns can be very complicated due to no uniform insolation. Two identical PV arrays are used for comparison. One PV array with an arbitrary shading pattern is divided into two groups. In Case1 the half of string one has been shaded with irradiance density G
=
800 W/m2 and in Case 2 shaded modules receive two different insulations, G
=
500 and 800 W/m2. I
-
V and P
-
V characteristics of these two cases are illustrated in Figure 4 for fault analysis. Under partial shading conditions, the short-circuit current for two cases remains identical, while the open-circuit voltage slightly decreases with the increase in the number of shaded modules. I
-
V curves of all shaded groups have multiple steps, while P
-
V curves of shaded groups are characterized by multiple peaks, whose number is equal to the number of solar insolation levels received by string, respectively. The results indicate that the higher number of shaded solar modules is the lower value of power output and the position of maximum power point does not depend on location of modules under shadow. The surface temperature of solar cell is assumed to remain 298°K.


## 6.2. Line-to-Line Fault in a PV Array under STC (F9)

As shown in Figure5, line-to-line faults could happen inside PV arrays and potentially may involve large fault current or dc arcs. This research focuses on line-to-line faults, which are defined as an accidental short-circuiting between two points in the array with different potentials. In the following simulations, two cases are studied, a line-to-line fault with 2 modules (Case 3) and a line-to-line fault with 4 modules (Case 4). When a line-to-line fault occurs, the I
-
V curve of the faulted PV string will change accordingly. Since the faulted string has 4 number of modules less, it will have an open-circuit voltage reduced by 4x V
o
c. But the short-circuit current remains the same as other normal strings at I
s
c.


## 6.3. Bypass Diode Fault in a PV Array under STC (F10)

Assume in Case5 that one bypass diode is conducted or shorted and in Case 6 two bypass diodes are shorted. I
-
V and P
-
V characteristics of these two cases are shown in Figure 6. Even if only one full module is shorted by bypass diode, the maximum power and V
o
c of the PV array drops significantly and short-circuit current remains the same as other normal strings.


## 6.4. Degradation Fault in a PV Array under STC (F11)

The reason for power degradation could be the increase in the series resistance between the modules due to decreased adherence of contacts or corrosion caused by water vapor. In this case, two different resistance values are considered. Group one (Case7) has small resistance R
1
=
1 ohm and another group (Case 8) has larger resistance with R
2
=
2 ohm.This PV array with resistance is compared with the normal PV array, shown in Figure7. Although the open voltage and short current do not change much under these different conditions, the maximum power point is reduced due to increase in resistance. Therefore, an increase of the internal series resistance can result in degradation of the peak power.


## 6.5. Bridging Fault in a PV Array under STC (F12)

In simulations, bridging fault or line-to-line faults with zero fault impedance are solid faults that occur immediately. In Figure8, there is a bridging fault with one-module level difference between String 1 and String 2, which lead to unbalanced currents among PV array defined as bridging fault with small voltage difference (Case 9). Bridging fault with large voltage difference is a line-to-line fault with three-module level difference between String 1 and String 2 expressed as Case 10. Bridging faults usually involve reduced array voltage (V
o
c) but have much small reduction in array current (I
s
c). The fault with larger voltage difference between two fault points will lead to larger reduction in V
o
c and I
m
p
p and V
m
p
p.


## 6.6. Open-Circuit Fault in a PV Array under STC (F13)

An open-circuit fault is an accidental disconnection at a normal current-carrying conductor. In this section, assume in Cases11 and 12 that PV arrays have a disconnection problem in one string and two strings, respectively, and then the I
-
V and P
-
V characteristics have been compared with array without any disconnection under normal condition, as shown in Figure 9. The open voltage of these cases remains almost the same, while the short current and maximum power decrease linearly with the increase in the number of disconnected strings.


## 7. Conclusions

In this paper, a comprehensive definition of faults in DC side of PV system based on location and structure is presented. The performance of a typical PV array has been investigated under typical fault conditions such as shading condition, open-circuit fault, degradation fault, line-to-line fault, bypass diode fault, and bridging fault. To better visualize the PV data under normal and fault conditions, theI
-
V and P
-
V characteristics of the array have been evaluated. The off-line method used in this research can distinguish many types of different faults but cannot detect the location of the fault within the PV array. It would be useful to develop special MPPT schemes to track the maximum peak under these conditions and further methods capable of determining these locations.



---

*Source: 8712960-2016-12-06.xml*