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Published in: Electrical Engineering 5/2023

Open Access 25-05-2023 | Original Paper

Alternating current microgrid protection method utilizing photovoltaic low-voltage ride-through characteristics

Authors: Liuming Jing, Tong Zhao, Lei Xia, Jinghua Zhou

Published in: Electrical Engineering | Issue 5/2023

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Abstract

The increasingly popular inverter distributed generation in microgrids is leading to changes in system fault characteristics. The fault behaviors of inverter distributed generation are closely related to the control mode. Here, a photovoltaic power supply in constant power mode enters a low-voltage ride-through state when there is a fault in the microgrid. The output current phase in the ride-through state is analyzed, and a local protection method based on the phase difference of the feeder positive-sequence current is proposed. The method is used to avoid interpreting voltage surges as faults, and to detect and locate faults rapidly and accurately. Electromagnetic transient simulation software is used to demonstrate the efficacy of the proposed protection scheme.
Notes

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1 Introduction

Microgrids can connect multiple distributed energy resources and supply highly reliable power through a distribution network. Microgrid generators are close to the load; thus, power can be maintained when faults occur. Microgrids can operate in grid-connected and autonomous modes [1, 2].
Microgrid power will be interrupted if the network is improperly protected against short-circuit faults that can occur in power lines or distributed energy resources. Different short-circuit fault current levels are applied in grid-connected and autonomous microgrid modes. These differences make it difficult, and occasionally impossible, to configure and coordinate protection devices. It is challenging to locate faults in microgrids that incorporate generation units and complex operating scenarios; some microgrid features (e.g., large phase imbalances) can introduce further challenges. Investment in microgrid protection is limited [3, 4].
The integration of distributed energy resources and microgrids has led to grid policies that require renewable energy sources to remain connected to the grid during faults. This is commonly referred to as fault ride-through and is defined using a stepwise/linear voltage–time-after-fault curve [5].
According to some grid codes, photovoltaic (PV) reactive power output is necessary to support the line voltage. An increase in reactive current changes the magnitude and phase of the PV output current. Accordingly, the microgrid line current changes, which can cause directional elements of the microgrid to incorrectly diagnose the fault direction. Therefore, microgrid fault characteristics should be analyzed for PV low-voltage ride-through, and the fault direction identification approach should be studied [6].
Some studies have analyzed PV low-voltage ride-through characteristics. For example, solar inverters act as a positive-sequence source and have insignificant negative and zero-sequence fault current [7]. Some solar inverters respond to faults in accordance with a preprogrammed control mode. For example, a unity power factor control mode will behave differently from a reactive support control mode.
Typically, microgrid protection includes overcurrent and distance relays, as well as current differential, traveling wave, and data mining methods.
A microgrid overcurrent protection strategy comprising inverter-based distributed generation in islanded operation has been proposed [8]. However, the protection method must be used to set a threshold appropriate to the context, which is difficult and expensive to determine.
Voltage compensation presumably can be used to enhance the reliability and accuracy of distance protection [9]. However, this approach requires many detection modules and complex compensation methods.
A new differential bus protection scheme based on the instantaneous energy coefficient has been proposed [10]. The energy coefficient is calculated using mode separation, but this method is expensive and requires excellent communication conditions.
A traveling wave-based protection scheme that uses current wavefronts as a fault detection mechanism has been developed [11]. However, the line lengths between microgrid nodes are short; therefore, it is difficult to detect the initial wavefront.
An intelligent fault detection method has been used to preprocess current samples at either end of the feed [12]. However, the protection process necessary for this approach is complex, and the overall judgment method must be improved.
Adaptive protection in microgrids and the composition of adaptive protection have been analyzed [13]. However, the complex structure, high cost, and communication requirements are prohibitive.
The fault point is located using a detection method based on the phase differences between the positive-sequence fault component of the bus voltage and the positive-sequence fault components of the currents in the feeders [14]. However, the voltage transformer was required in the bus.
In previous current-only method, the pre-fault and post-fault phase angle change was used for fault section location. However, the low-voltage ride-through characteristics of PV were not considered.
In summary, methods to protect against PV low-voltage ride-through typically require voltage transformers, which increases the protection system cost [15]. Therefore, we propose a microgrid line protection method that uses only current information.
The application of voltage information as a reference quantity for the detection of fault direction is a common practice in transmission lines. Nevertheless, this approach is not applicable in microgrid due to the absence of potential transformers. Therefore, it is necessary to use the current-only polarity comparison for microgrids.
We analyze existing protection schemes, discuss the limitations of conventional fault protection, and present a protection method that is based on the positive-sequence current phase angle. The phase angle difference between the positive-sequence current of the line in fault and a normal line is obtuse, whereas the phase angle between two normal lines is acute. Finally, we use power system computer-aided design (PSCAD) and electromagnetic transients including direct current (EMTDC) to build a microgrid model with multiple distributed PV generators. The proposed method in this paper using current-only polarity comparison.
The paper is organized as follows. In Sect. 2, we analyze the operating characteristics of PV low-voltage ride-through. In Sect. 3, we analyze the microgrid fault characteristics during the PV low-voltage crossing process, describe the theoretical principles of the protection method, and determine the detection range of the approach. In Sect. 4, we describe the microgrid protection scheme; in Sect. 5, we verify the accuracy of several fault detection methods in various fault conditions. A conclusion is presented in Sect. 6.

2 PV low-voltage ride-through characteristics

When a microgrid is connected to the grid, active and reactive control is used in conjunction with low-voltage ride-through, as shown in Fig. 1. When a microgrid fault occurs, the PV will reduce the active power and increase the output reactive power to regulate the microgrid voltage. There is a positive-sequence component in the output current on the alternating current side. In this network, the active and reactive-controlled PV is equivalent to a positive-sequence current source [16]. According to the active and reactive-controlled inverter-interfaced distributed generator (IIDG) equivalent model, the fault current output can be expressed as:
$$ \left\{ \begin{gathered} \mathop I\nolimits_{{{\text{d.f}}}} = \min \left\{ {k\left( {\mathop U\nolimits_{{{\text{d}}.0}} - \mathop U\nolimits_{{{\text{d.f}}}}^{ + } } \right),\mathop I\nolimits_{\max } } \right\} \hfill \\ \mathop I\nolimits_{{{\text{q.f}}}} = \min \left\{ {\frac{{\mathop P\nolimits_{{\text{ref}}} }}{{\mathop U\nolimits_{{{\text{d.f}}}}^{ + } }},\sqrt {\mathop I\nolimits_{\max }^{2} - \mathop I\nolimits_{{{\text{q.f}}}}^{2} } } \right\} \hfill \\ \mathop I\nolimits_{{{\text{am.p.f}}}} = \sqrt {\mathop I\nolimits_{{{\text{q.f}}}}^{2} + \mathop I\nolimits_{{{\text{d.f}}}}^{2} } \hfill \\ \alpha = \arctan \frac{{\mathop I\nolimits_{{{\text{q.f}}}} }}{{\mathop I\nolimits_{{{\text{d.f}}}} }} \hfill \\ \end{gathered} \right. $$
(1)
where Iq.f and Id.f are the reactive and active current generated during the fault, respectively; Ud.0 is the d-axis component of the voltage in normal operations; \(\mathop U\nolimits_{{{\text{d.f}}}}^{ + }\) is the positive-sequence component of the voltage at the time of the fault; Imax is the maximum PV output current during the fault; Iamp.f is the fault current amplitude; α is the fault current phase angle; and k is the reactive power compensation coefficient.
According to Eq. (1), a PV connected to the microgrid can be analyzed when a fault occurs using the equivalent model shown in Fig. 1, where ZL is the line equivalent impedance, Zs is the system equivalent positive-sequence impedance, and ΔI is the current fault component.
During a fault, the PV must generate reactive power to suppress the voltage drop; the changes in output voltage and current before and after the fault must be analyzed. Subsequently, the change in bus voltage and current as a function of the PV output are analyzed. The PV output voltage and current phasors before and after the fault are shown in Fig. 2 [17].
Figure 2a shows Ud before the fault, where the output active current is Id, \({U}_{\mathrm{d}}^{^{\prime}}\) is the post-fault voltage, θ is the phase lag angle, \({I}_{1}^{^{\prime}}\) and \({I}_{2}^{^{\prime}}\) are the fault currents, and the fault current range is the sector area surrounded by the arc with radius Imax. Additionally, \({\Delta I}_{\mathrm{f}1}\) and \({\Delta I}_{\mathrm{f}2}\) are the current fault components. If the voltage drop is large when a distribution network fault occurs (i.e., \({U}_{\mathrm{d}}^{^{\prime}}\) is small), the phase difference between ΔI and Ud before the fault is > 90°. If the voltage drop is small (i.e., \({U}_{\mathrm{d}}^{^{\prime}}\) is large), the phase difference between ΔI and Ud is < 90°. Thus, the voltage drop magnitude contributes to the phase difference between ΔI and Ud. Furthermore, the post-fault voltage has a critical value, as indicated in Fig. 2b. \({I}_{\mathrm{d}}^{^{\prime}}\) and \({I}_{\mathrm{q}}^{^{\prime}}\) are the post-fault active and reactive current, respectively, and the phase angle between ΔI and Ud is 90° [18].
As shown in Fig. 2b:
$$ I^{\prime}_{{\text{q}}} = \left| {I^{\prime}} \right|\sin \left( {\arccos \frac{{\mathop I\nolimits_{{\text{d}}} }}{{\left| {I^{\prime}} \right|}} - \theta } \right) $$
(2)
and because \(\left| {\user2{I^{\prime}}} \right| = I_{\max }\), it follows that
$$ I^{\prime}_{{\text{q}}} = I_{\max } \sin \left( {\arccos \frac{{I_{{\text{d}}} }}{{I_{\max } }} - \theta } \right) $$
(3)
Regulations state that if a voltage drop is > 10%, then the reactive current must be increased by 2% for every 1% voltage decrease [19]. Therefore,
$$ \frac{{I^{\prime}_{{\text{q}}} }}{{I_{\max } }} = k^{\prime}\frac{{{0}{\text{.9}}U_{{\text{d}}} - U^{\prime}_{{\text{d}}} }}{{U_{{\text{d}}} }} $$
(4)
where \(k^{\prime} \ge {2}\). Equation (4) can be substituted into (3) to obtain the relationship between the voltage and critical voltage during normal operation:
$$ U^{\prime}_{{\text{d}}} = \mathop U\nolimits_{{\text{d}}} \left[ {0.9 - \frac{1}{{k^{\prime}}}\sin \left( {\arccos \frac{{\mathop I\nolimits_{{\text{d}}} }}{{\mathop I\nolimits_{\max } }} - \theta } \right)} \right] $$
(5)
When the post-fault voltage is less than the critical voltage, the phase angle between ΔI and Ud is > 90°. When the post-fault voltage is greater than the critical voltage, the phase angle between ΔI and Ud is < 90°. Analysis of the PV output fault current characteristics forms the basis of microgrid fault analysis.

3 Microgrid fault characteristics during PV low-voltage ride-through

Fault characteristics were analyzed by constructing a simple microgrid model [20]. Figure 3a shows a microgrid that comprises four buses, feeders, and a grid-connected PV. Buses E, F, G, and M each connect three feeders numbered 1 to 3. LD1–3 are loads, whereas IIDG1 and 2 are inverter-interfaced distributed power sources.
If a fault occurs at point f, the positive-sequence fault additional microgrid network follows the format depicted in Fig. 3b, which shows the equivalent positive-sequence impedance. \({\Delta I}_{\mathrm{E}1}-{\Delta I}_{\mathrm{E}3}\), \({\Delta I}_{\mathrm{F}1}-{\Delta I}_{\mathrm{F}3}\), \({\Delta I}_{\mathrm{M}1}-{\Delta I}_{\mathrm{M}3}\), and \({\Delta I}_{\mathrm{G}1}-{\Delta I}_{\mathrm{G}3}\) are the fault currents on each feeder after the fault; Z1, Z2, and Z3 are the positive-sequence load impedances. ΔUF is the additional voltage source created by the fault point, and ZF is the fault impedance. ZAF, ZBF, ZEM, and ZFG are the equivalent positive-sequence impedances of the lines between the buses indicated by the subscripts; ΔI1 and ΔI2 are the current fault components output by IIDG1 and 2, respectively.
When a fault occurs at point f, the voltage drop of buses E and M is small because the microgrid and distribution network are connected to the utility grid, which can support the necessary voltage. However, if the fault point is very close to bus E, there may also be a large voltage drop between buses E and M.
If the voltage drop between buses E and M is large, the analysis of bus E is similar to the analysis of bus G. Therefore, we focus on the case where the voltage drop at buses E and M is small.
When there is a fault at point f, the phase angle between the fault current component output from IIDG2 at bus M and the bus voltage before the fault is < 90°. As shown in Fig. 3b,\({\Delta I}_{\mathrm{M}2}={-\Delta I}_{2}\),\({\Delta I}_{\mathrm{M}3}={-\Delta U}_{\mathrm{M}}/{Z}_{2}\), and \(\Delta I_{{{\text{M1}}}} = - (\Delta I_{{{\text{M2}}}} + \Delta I_{{{\text{M3}}}} )\), where ΔUM is the positive-sequence fault voltage component at bus M, and Z2 is inductive; the phase angle between ΔIM3 and ΔUM is < 90° and in the third quadrant. The phase relationship between the fault voltage and current components at bus M can be obtained through analysis, as shown in Fig. 4a.
As shown in Fig. 3b, \({\Delta I}_{\mathrm{E}3}={-\Delta I}_{\mathrm{M}1}\),\(\Delta I_{E1} = - \Delta U_{E} /Z_{S}\), and \({\Delta I}_{\mathrm{E}2}=-\left({\Delta I}_{\mathrm{E}1}+{\Delta I}_{\mathrm{E}3}\right)\), where ΔUE is the positive-sequence fault voltage component at bus E, and ZS is inductive; the phase angle between ΔIE1 and ΔUE is < 90° and in the third quadrant. From this analysis, we can extract the phase relationship between the fault voltage and current components for bus E, as shown in Fig. 4b.
As shown in Fig. 3b, \({\Delta I}_{\mathrm{F}3}={-\Delta I}_{\mathrm{G}1}\); thus, the phase relationship between the fault voltage and current components of bus G can be analyzed. \({\Delta I}_{\mathrm{G}2}={-\Delta I}_{1}\), \({\Delta I}_{\mathrm{G}3}={-\Delta U}_{\mathrm{G}}/{Z}_{1}\), and \({\Delta I}_{\mathrm{G}1}=-\left({\Delta I}_{\mathrm{G}2}+{\Delta I}_{\mathrm{G}3}\right)\), which is the positive-sequence fault voltage component. The load impedance is inductive; thus, the phase difference between ΔIG3 and ΔUG is < 90°, which is in the third quadrant. There is a large voltage drop when failure occurs at point f, because bus G is not supported by the utility grid.
The phase difference between ΔI1 and UG is > 90°; therefore, ΔI1 is in the third quadrant. As shown in the fault component diagram, the fault components of each bus F feeder are \({\Delta I}_{\mathrm{F}3}={-\Delta I}_{\mathrm{G}1}\), \({\Delta I}_{\mathrm{F}2}={-\Delta U}_{\mathrm{F}}/{Z}_{3}\), and \({\Delta I}_{\mathrm{F}1}=-\left({\Delta I}_{\mathrm{F}2}+{\Delta I}_{\mathrm{F}3}\right)\). Therefore, the fault vector direction ΔIG1 is known. As shown in Fig. 4c, the phasor diagram of each fault component for bus F can be obtained using this analysis approach.
When a fault occurs at point f, the positive-sequence fault current component at buses E and F reveals that the fault occurred between feeder E2 on bus E and feeder F1 on bus F.
A fault is indicated in the microgrid model shown in Fig. 3a. Four fault points (f1, f2, f3, and f4) were set as shown in Fig. 5a, and b shows the positive-sequence fault additional network considering a failure at point f4. ZF is the resistance of the fault point, ZS is the equivalent positive-sequence system impedance, and Z11 and Z22 are the equivalent positive impedances of the lines. ZEF, ZBF, and ZFG are the equivalent positive-sequence impedances between the buses indicated by the subscripts.
The fault components on buses E, F, G, and M were analyzed for cases in which faults occurred at f1–f4. Because failure at point f1 is discussed above, the analysis is not repeated here.
When a fault occurs at f2, the microgrid fault network and the current phasor diagrams for buses E and M are similar to the network and phasor diagrams shown for point f1. However, analysis of bus G is necessary. When the bus G voltage drop is small, the phase angle between ΔI1 and UG is < 90°; thus, ΔI1 is in the fourth quadrant. Figure 6 shows the phasor diagram for the superimposed fault network.
Bus F was analyzed, and the fault current phasor diagram is shown in Fig. 7. According to the additional network \({\Delta I}_{\mathrm{F}1}={-\Delta I}_{\mathrm{E}2}\), \({\Delta I}_{\mathrm{F}3}={-\Delta I}_{\mathrm{G}1}\), and \({\Delta I}_{\mathrm{F}2}=-\left({\Delta I}_{\mathrm{F}1}+{\Delta I}_{\mathrm{F}3}\right)\).
When a failure occurs at f3, the relationships between the bus E and M positive-sequence fault phasors are similar to the relationships shown in Fig. 4a, b.
Because bus F is supported by the utility power grid, the voltage drop is small and can be obtained from the current fault component diagram where \({\Delta I}_{\mathrm{F}1}={-\Delta I}_{\mathrm{E}2}\), \({\Delta I}_{\mathrm{F}2}={\Delta U}_{\mathrm{F}}/{Z}_{3}\), and \({\Delta I}_{\mathrm{F}3}=-\left({\Delta I}_{\mathrm{F}1}+{\Delta I}_{\mathrm{F}3}\right)\). Phasor ΔIE3 is similar to the phasor shown in Fig. 7. The positive-sequence impedance of the load is inductive; the phase difference between ΔIF2 and ΔUF is thus < 90°, which is in the third quadrant. The phase relationship between the bus F fault voltage and current components can be obtained as shown in Fig. 8.
The positive-sequence fault additional network for a fault at f4 is shown in Fig. 5b. In this case, the fault phasor components for buses E, M, and F are similar to the components in Fig. 4a, b and Fig. 8.
Bus G is supported by the utility power grid, the voltage drop is small, and the phase difference between ΔI1 and UG is < 90°; accordingly, ΔI1 is in the fourth quadrant. As shown in Fig. 5b, \({\Delta I}_{\mathrm{G}2}={-\Delta I}_{1}\), \({\Delta I}_{\mathrm{G}1}=-\Delta {I}_{F3}\), and \({\Delta I}_{\mathrm{G}3}=-\left({\Delta I}_{\mathrm{G}1}+{\Delta I}_{\mathrm{G}2}\right)\). Therefore, the fault voltage and current components can be obtained as shown in Fig. 9.
When faults occur at different locations, the relative phase angles of all positive-sequence fault current components on all bus branch feeders can be obtained based on the phase relationships between fault components. In normal operation, the phase angle between current components on any two feeders is between 0° and 90°.
When a microgrid fault occurs, the difference between the fault and normal current phase angles is between 90° and 180°.
Assume that bus A has three branch feeders A1, A2, and A3. If A3 fails, the additional network of the positive-sequence fault is shown in Fig. 10; the positive-sequence fault currents in each branch are ΔIA1, ΔIA2, and ΔIA3, respectively. In Fig. 10, Z1 is the equivalent positive-sequence impedance of bus A between the front feeder and load, Z2 is the equivalent impedance of branch 2, Z3 is the impedance from the fault point to bus A in branch 3, Z4 is the impedance from the fault point to the end of branch 3, and ZF is the additional impedance of the power supply at the fault point.
Because the positive-sequence impedance of the line and load is inductive, Z1, Z2, Z3, and ZF are inductive. The phase angle of UF is θu; the phase angles of Z1 to ZF are θ1 to θF, respectively. Therefore, the limit:
$$ Z_{{{\text{all}}}} = Z_{1} //Z_{2} + Z_{3} + Z_{F} = \left| {Z_{{{\text{all}}}} } \right|\angle \theta_{x} $$
(6)
where θx is the phase angle that corresponds to the addition of vectors Z1 to ZF. As shown in Fig. 10, the fault current of each branch feeder can be represented by an equivalent positive-sequence voltage and resistance at the fault point, where
$$ \left\{ \begin{aligned} \Delta {\varvec{I}}_{A1} & = \frac{{{\varvec{U}}_{F} (Z_{1} //Z_{2} )}}{{Z_{1} \cdot Z_{{{\text{all}}}} }} \\ & = \frac{{\left| {{\varvec{U}}_{F} } \right|\angle \theta_{u} \cdot \left| {Z_{1} } \right|\left| {Z_{2} } \right|\angle (\theta_{1} + \theta_{2} )}}{{\left| {Z_{1} } \right|\angle \theta_{1} \cdot \left| {Z_{{{\text{all}}}} } \right|\angle \theta_{x} }} \\ & = \frac{{\left| {{\varvec{U}}_{F} } \right|\left| {Z_{1} } \right|\left| {Z_{2} } \right|}}{{\left| {Z_{1} } \right|\left| {Z_{{{\text{all}}}} } \right|}}\angle (\theta_{2} + \theta_{u} - \theta_{x} ) \\ \Delta {\varvec{I}}_{A2} & = \frac{{{\varvec{U}}_{F} (Z_{1} //Z_{2} )}}{{Z_{2} \cdot Z_{{{\text{all}}}} }} \\ & = \frac{{\left| {{\varvec{U}}_{F} } \right|\angle \theta_{u} \cdot \left| {Z_{1} } \right|\left| {Z_{2} } \right|\angle (\theta_{1} + \theta_{2} )}}{{\left| {Z_{2} } \right|\angle \theta_{2} \cdot \left| {Z_{{{\text{all}}}} } \right|\angle \theta_{x} }} \\ & = \frac{{\left| {{\varvec{U}}_{F} } \right|\left| {Z_{1} } \right|\left| {Z_{2} } \right|}}{{\left| {Z_{1} } \right|\left| {Z_{{{\text{all}}}} } \right|}}\angle (\theta_{1} + \theta_{u} - \theta_{x} ) \\ \Delta {\varvec{I}}_{A3} & = - \frac{{{\varvec{U}}_{F} }}{{Z_{{{\text{all}}}} }} = - \frac{{\left| {{\varvec{U}}_{F} } \right|\angle \theta_{u} }}{{\left| {Z_{{{\text{all}}}} } \right|\angle \theta_{x} }} \\ & = \frac{{\left| {{\varvec{U}}_{F} } \right|}}{{\left| {Z_{{{\text{all}}}} } \right|}}\angle (\theta_{u} - \theta_{x} \pm \pi ) \\ \end{aligned} \right. $$
(7)
The following can then be obtained:
$$ \left\{ \begin{aligned} \arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right) & = \\ \, & \, (\theta_{u} - \theta_{x} \pm \pi ) - (\theta_{2} + \theta_{u} - \theta_{x} ) \\ & = \pm \pi - \theta_{2} \\ \arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right) & = \\ & (\theta_{u} - \theta_{x} \pm \pi ) - (\theta_{1} + \theta_{u} - \theta_{x} ) \\ & = \pm \pi - \theta_{1} \\ \arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right) & = \\ & (\theta_{2} + \theta_{u} - \theta_{x} ) - (\theta_{1} + \theta_{u} - \theta_{x} ) \\ & = \theta_{2} - \theta_{1} \\ \end{aligned} \right. $$
(8)
Because the positive-sequence impedance of the line and the load is inductive, \(0^\circ < \theta_{1} < 90^\circ\) and \(0^\circ < \theta_{2} < 90^\circ\); thus, we obtain:
$$ \left\{ \begin{gathered} 90^\circ \le \arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right) \le 270^\circ \hfill \\ 90^\circ \le \arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right) \le 270^\circ \hfill \\ - 90^\circ \le \arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right) \le 90^\circ \hfill \\ \end{gathered} \right. $$
(9)
If the absolute values of (9) are transformed to \(0^\circ \to 180^\circ\), we obtain:
$$ \left\{ \begin{gathered} \mathop {90}\nolimits^{\rm O} < \left| {\arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right)} \right| < \mathop {180}\nolimits^{\rm O} \hfill \\ \mathop {90}\nolimits^{\rm O} < \left| {\arg \left( {\Delta {\varvec{I}}_{{{\text{A3}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right)} \right| < \mathop {180}\nolimits^{\rm O} \hfill \\ {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} \mathop 0\nolimits^{\rm O} < \left| {\arg \left( {\Delta {\varvec{I}}_{{{\text{A1}}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{A2}}}} } \right)} \right| < \mathop {90}\nolimits^{\rm O} \hfill \\ \end{gathered} \right. $$
(10)
Therefore, the fault can be identified and located using the phase angle difference of each branch feeder. Current information is also used as a highly reliable protection method that can rapidly detect failures with high sensitivity.

4 Microgrid protection scheme

The microgrid protection system proposed here is a centralized distributed protection scheme. The unit protection module is distributed at the bus node to measure the current in each feeder.
In a conventional unit protection module, each feeder must be equipped with measurement devices. The protection method proposed here only utilizes a voltage transformer installed at the grid-connected bus, which reduces cost. The unit protection module obtains current data from the grid-connected bus and extracts the positive-sequence fault current component. A trigger is transmitted to the unit protection module when a voltage drop occurs at the grid-connected bus, thereby beginning the process to locate the feeder in fault. Communication tie lines can be used to transmit protection information between adjacent modules (Figs. 11, 12).
A fault is identified if a bus voltage drop is > 10% of the original value. When this trigger is met, the process shown in Fig. 13 is initiated.
The phase angles of the feeder fault current components are extracted and translated between –180° and 180°, and the absolute differences between the feeder phase angles are calculated:
$$ \left| \alpha \right| = \left| {\arg \left( {\Delta {\varvec{I}}_{{\text{Y}}} } \right) - \arg \left( {\Delta {\varvec{I}}_{{{\text{Yn}}}} } \right)} \right| $$
(11)
where α is the phase angle difference, ΔIY is the target line, and ΔYYn are the other lines on bus X. A branch is in fault if the difference is between 90° and 180°, and the fault state criterion output is –1. Otherwise, the branch feeder is healthy and the fault state is 1. When the detection process is initiated, all bus branch feeders are simultaneously inspected for faults; a trip signal is triggered if a faulty line is detected. A trip signal is sent to the opposite side. The system will trip if the signal is received simultaneously; otherwise, it will not trip.

5 Case study

The microgrid model was constructed using PSCAD/EMTDC electromagnetic transient simulation software (with reference to the model diagram shown in Fig. 5). The microgrid secondary voltage was 10 kV, the length of each feeder was 500 m, the positive-sequence resistance of the line was 0.64 Ω km–1, and the positive-sequence inductive reactance of the line was 0.12 Ω km–1. The zero-sequence resistance of the line was 2.00 Ω km–1, the zero-sequence inductive reactance of the line was 0.4 Ω km–1, and the load was 0.4 MW. The test fault was a three-phase ground fault that occurred at 1 s.
The parameters of the microgrid are shown in Table 1.
Table 1
System configuration
System components
Parameters
Step-down transformer
110 kV/10 kV
System frequency
50 Hz
PV capacity
0.4 MW
Fault resistance
0.01 Ω
The current phase angle and reactive output of a distributed generator with fault resistances measuring 0.01 Ω, 0.1 Ω, and 1 Ω are shown in Fig. 14. The alternating current line fault occurred after 1 s, and the reactive current output increased rapidly. The fault ended at 2 s, and the reactive current returned to 0 A. The output current phase angle increased as the distributed generation current increased.
Three phase fault was considered in the simulation. Figure 1 summarizes the simulation of a fault that occurred at f1. The phase angle of feeder F2 was opposite to the phase angles of feeders F1 and F3. The fault lines were ΔIE2, ΔIF1, and ΔIM1; the healthy lines were ΔIE1, ΔIE3, ΔIF2, ΔIF3, ΔIM2, and ΔIM3. The phase angle between the faulty and healthy lines was between 90° and 180°; the phase angle between the healthy lines was in the range of 0° to 90° (Fig. 15).
Figure 16 summarizes the simulation of a fault that occurred at f2. The phase angle of feeder F2 was opposite to the phase angles of feeders F1 and F3. The fault lines were ΔIE2, ΔIF2, ΔIG1, and ΔIM1; the healthy lines were ΔIE1, ΔIE3, ΔIF1, ΔIF3, ΔIM2, ΔIM3, ΔIG2, and ΔIG3. The phase angle between the faulty and healthy lines was between 90° and 180°; the phase angle between the healthy lines was in the range of 0° to 90°.
Figure 17 summarizes the simulation of a fault that occurred at f3. The phase angle of feeder F3 was opposite to the phase angles of feeders F2 and F1. The fault lines were ΔIE2, ΔIF3, and ΔIM1; the healthy lines were ΔIE1, ΔIE3, ΔIF2, ΔIF1, ΔIM2, and ΔIM3. The phase angle between the faulty and healthy lines was between 90° and 180°; the phase angle between the healthy lines was in the range of 0° to 90°.
Figure 18 summarizes the simulation of a fault that occurred at f4. The phase angle of feeder G3 was opposite to the phase angles of feeders G2 and G1. The fault lines were ΔIE2, ΔIF3, ΔIG3, and ΔIM1; the healthy lines were ΔIE1, ΔIE3, ΔIF2, ΔIF1, ΔIM2, ΔIM3, ΔIG1, and ΔIG2. The phase angle between the faulty and healthy lines was between 90° and 180°; the phase angle between the healthy lines was in the range of 0° to 90°.
Table 2 shows the results of simulated feeder faults. The experimental results show that the proposed algorithm can successfully identify the internal fault and locate the appropriate section when the microgrid is connected to the grid.
Table 2
Feeder fault results
Fault location
Fault resistance
Faulty feeders
Feeders with phase difference in range of 0° to 90°
Feeders with phase difference in range of 90° to 180°
f1
0.01 Ω
E2, F1, M1
E2, E3
F2, F3
M2, M3
E2, F1
M1
0.1 Ω
1 Ω
f2
0.01 Ω
E2, M1, F2, G1
E1, E3
F2, F3
M2, M3
G2, G3
E2, F2
M1, G1
0.1 Ω
1 Ω
f3
0.01 Ω
E2, M1, F3, G1
E1, E3
F1, F2
M2, M3
G2, G3
E2, F3
M1, G1
0.1 Ω
1 Ω
f4
0.01 Ω
E2, M1, F3, G3
E1, E3
F1, F2
M2, M3
G1, G2
E2, F3
M1, G3
0.1 Ω
1 Ω
The single-phase ground fault and two-phase short-circuit fault were analyzed when the fault resistance at f4 was set to 0.1 Ω. Differences between the positive-sequence currents of each bus F feeder were measured to demonstrate the efficacy of the proposed process. When a fault occurs at f4, the faulty line is ΔIF3, whereas the healthy lines are ΔIF1 and ΔIF2. This fault condition is illustrated in Fig. 5b, and a simplified model of the microgrid is shown in Fig. 19.
The phase relationships and angles of the bus F fault components when f4 is a single-phase ground fault are shown in Fig. 20.
Figure 20 shows that the phase angle between ΔIF3, and ΔIF1 and ΔIF2 is between 90° and 180° when a single-phase grounding fault occurs. The phase angle between the two healthy lines is in the range of 0° to 90°. The phase angle relationship is shown in Fig. 21.
The phase relationships and angles of the bus F fault components when f4 is a two-phase short-circuit fault are shown in Fig. 22.
Figure 22 shows that the phase angle between ΔIF3, and ΔIF1 and ΔIF2 is between 90° and 180° when a two-phase short-circuit fault occurs. The phase angle between the two healthy lines is in the range of 0° to 90°. The phase angle relationship is shown in Fig. 23.
Figures 21 and 23 demonstrate that single-phase grounding faults and two-phase short-circuit faults result in phase angle differences that satisfy the fault judgment ranges proposed here. Therefore, the proposed fault discrimination is appropriate for various fault types.
Results have already been compared with existing schemes. The traditional fault location method is using zero-sequence voltage and zero-sequence current phase angle comparison.
The current-only polarity comparison-based protection method for microgrids uses local measurement information and is suitable for the PV low-voltage ride-through condition (Fig. 24).
When the fault occurs, the intelligent electronic device (IED) is needed to control the circuit breaker to clear the fault. Take the f3 fault shown in Fig. 17 as an example, and the fault occurred at 3.5 s. When the fault occurs, the current waveforms at each branch feeder of bus F are shown in Fig. 25.
The positive-sequence current is measured at each feeder. The angle difference between different branches is calculated, respectively. The positive-sequence angle difference is shown in Fig. 26.
The IED devices detect that angle difference meets the fault operation condition and sends a trip signal to the circuit breaker. After the circuit breaker action delay of 10 ms, it will trip. The action diagram of the circuit breaker protection system is shown in Fig. 27.

6 Conclusion

Fault current phase characteristics during PV low-voltage ride-through were analyzed and a local protection method based on current data was proposed. The method utilizes the phase angle difference between the positive-sequence current of healthy feeders and the faulty feeder (i.e., feeder near the faulty end). The phase angle between two healthy feeders is acute, whereas the phase angle between a healthy and faulty feeder is obtuse, which allows faults to be located rapidly and accurately. Finally, a PV simulation model that included a low-voltage ride-through was constructed using PSCAD/EMTDC, and an internal microgrid fault was simulated and verified. The simulation results demonstrated the effectiveness of the fault characteristic analysis process, as well as the feasibility of the proposed protection scheme.

Declarations

Conflict of interest

Not applicable.

Ethical approval

Not applicable.
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Literature
1.
go back to reference Reiz C, Leite JB (2022) Optimal coordination of protection devices in distribution networks with distributed energy resources and microgrids. IEEE Access 10:99584–99594CrossRef Reiz C, Leite JB (2022) Optimal coordination of protection devices in distribution networks with distributed energy resources and microgrids. IEEE Access 10:99584–99594CrossRef
2.
go back to reference Liu D, Dyśko A, Hong Q, Tzelepis D, Booth CD (2022) Transient wavelet energy-based protection scheme for inverter-dominated microgrid. IEEE Trans Smart Grid 13(4):2533–2546CrossRef Liu D, Dyśko A, Hong Q, Tzelepis D, Booth CD (2022) Transient wavelet energy-based protection scheme for inverter-dominated microgrid. IEEE Trans Smart Grid 13(4):2533–2546CrossRef
3.
go back to reference Hooshyar A, Iravani R (2017) Microgrid protection. Proc IEEE 105(7):1332–1353CrossRef Hooshyar A, Iravani R (2017) Microgrid protection. Proc IEEE 105(7):1332–1353CrossRef
4.
go back to reference Allahdadi K, Sadeghkhani I, Fani B (2020) Protection of converter-interfaced microgrids using modified short-time correlation transform. IEEE Syst J 14(4):5172–5175CrossRef Allahdadi K, Sadeghkhani I, Fani B (2020) Protection of converter-interfaced microgrids using modified short-time correlation transform. IEEE Syst J 14(4):5172–5175CrossRef
5.
go back to reference Reno MJ, Brahma S, Bidram A et al (2021) Influence of inverter-based resources on microgrid protection: part 1: microgrids in radial distribution systems. IEEE Power Energy Mag 19(3):36–46CrossRef Reno MJ, Brahma S, Bidram A et al (2021) Influence of inverter-based resources on microgrid protection: part 1: microgrids in radial distribution systems. IEEE Power Energy Mag 19(3):36–46CrossRef
6.
go back to reference Ropp ME, Reno MJ (2021) Influence of inverter-based resources on microgrid protection: part 2: secondary networks and microgrid protection. IEEE Power Energy Mag 19(3):47–57CrossRef Ropp ME, Reno MJ (2021) Influence of inverter-based resources on microgrid protection: part 2: secondary networks and microgrid protection. IEEE Power Energy Mag 19(3):47–57CrossRef
7.
go back to reference Key T, Kou G, Jensen M (2020) On good behavior: inverter-grid protections for integrating distributed photovoltaics. IEEE Power Energy Mag 18:75–85CrossRef Key T, Kou G, Jensen M (2020) On good behavior: inverter-grid protections for integrating distributed photovoltaics. IEEE Power Energy Mag 18:75–85CrossRef
8.
go back to reference Pei X, Chen Z, Wang S, KangY (2015) Overcurrent protection for inverter-based distributed generation system. In: Proceedings of the IEEE energy conversion congress and exposition (ECCE). IEEE, pp 2328–2332 Pei X, Chen Z, Wang S, KangY (2015) Overcurrent protection for inverter-based distributed generation system. In: Proceedings of the IEEE energy conversion congress and exposition (ECCE). IEEE, pp 2328–2332
9.
go back to reference Yin Y, Fu Y, Zhang Z, Zamani A (2022) Protection of microgrid interconnection lines using distance relay with residual voltage compensations. IEEE Trans Power Deliv 37(1):486–495CrossRef Yin Y, Fu Y, Zhang Z, Zamani A (2022) Protection of microgrid interconnection lines using distance relay with residual voltage compensations. IEEE Trans Power Deliv 37(1):486–495CrossRef
10.
go back to reference Jena S, BhaljaBR (2019) A new differential protection scheme for busbar using teager energy operator. In: 2019 8th international conference on power systems (ICPS), pp 1–6 Jena S, BhaljaBR (2019) A new differential protection scheme for busbar using teager energy operator. In: 2019 8th international conference on power systems (ICPS), pp 1–6
11.
go back to reference Li X, Dysko A, Burt GM (2014) Traveling wave-based protection scheme for inverter-dominated microgrid using mathematical morphology. IEEE Trans Smart Grid 5(5):2211–2218CrossRef Li X, Dysko A, Burt GM (2014) Traveling wave-based protection scheme for inverter-dominated microgrid using mathematical morphology. IEEE Trans Smart Grid 5(5):2211–2218CrossRef
12.
go back to reference Gashteroodkhani OA, Majidi M, Etezadi-Amoli M (2020) A combined deep belief network and time-time transform based intelligent protection Scheme for microgrids. Electr Power Syst Res 182:106239CrossRef Gashteroodkhani OA, Majidi M, Etezadi-Amoli M (2020) A combined deep belief network and time-time transform based intelligent protection Scheme for microgrids. Electr Power Syst Res 182:106239CrossRef
13.
go back to reference Laaksonen H, Ishchenko D, Oudalov A (2014) Adaptive protection and microgrid control design for Hailuoto Island. IEEE Trans Smart Grid 5(3):1486–1493CrossRef Laaksonen H, Ishchenko D, Oudalov A (2014) Adaptive protection and microgrid control design for Hailuoto Island. IEEE Trans Smart Grid 5(3):1486–1493CrossRef
14.
go back to reference Fan Z, Longhua, et al (2018) A fault detection method of microgrids with grid-connected inverter interfaced distributed generators based on the PQ control strategy. IEEE Trans Smart Grid 10(5):4816–4826 Fan Z, Longhua, et al (2018) A fault detection method of microgrids with grid-connected inverter interfaced distributed generators based on the PQ control strategy. IEEE Trans Smart Grid 10(5):4816–4826
15.
go back to reference Wang B, Jing L (2020) A protection method for inverter-based microgrid using current-only polarity comparison. J Mod Power Syst Clean Energy 8(3):446–453CrossRef Wang B, Jing L (2020) A protection method for inverter-based microgrid using current-only polarity comparison. J Mod Power Syst Clean Energy 8(3):446–453CrossRef
16.
go back to reference Nsengiyaremye J, Pal BC, Begovic MM (2020) Microgrid protection using low-cost communication systems. IEEE Trans Power Deliv 35(4):2011–2020CrossRef Nsengiyaremye J, Pal BC, Begovic MM (2020) Microgrid protection using low-cost communication systems. IEEE Trans Power Deliv 35(4):2011–2020CrossRef
17.
go back to reference Timbus AV (2006) Control strategies for distributed power generation systems operating on faulty grid. In: IEEE international symposium on industrial electronics. IEEE, pp1601–1607 Timbus AV (2006) Control strategies for distributed power generation systems operating on faulty grid. In: IEEE international symposium on industrial electronics. IEEE, pp1601–1607
18.
go back to reference E.ON Netz. Grid Code (2016) Grid code: high and extra high voltage. E.ON Netz GmbH, Bayreuth, Germany E.ON Netz. Grid Code (2016) Grid code: high and extra high voltage. E.ON Netz GmbH, Bayreuth, Germany
19.
go back to reference Shuyong C, Bao Hai Wu, Chunyang et al (2011) Direct grid-tie power control method for distributed photovoltaic generation. Proc CSEE 31(10):6–11 Shuyong C, Bao Hai Wu, Chunyang et al (2011) Direct grid-tie power control method for distributed photovoltaic generation. Proc CSEE 31(10):6–11
20.
go back to reference Wang Z, Mu L, Xu Y et al (2021) The fault analysis method of islanded microgrid based on the U/f and PQ control strategy. Int Trans Electr Energy Syst 31(7):e12919CrossRef Wang Z, Mu L, Xu Y et al (2021) The fault analysis method of islanded microgrid based on the U/f and PQ control strategy. Int Trans Electr Energy Syst 31(7):e12919CrossRef
Metadata
Title
Alternating current microgrid protection method utilizing photovoltaic low-voltage ride-through characteristics
Authors
Liuming Jing
Tong Zhao
Lei Xia
Jinghua Zhou
Publication date
25-05-2023
Publisher
Springer Berlin Heidelberg
Published in
Electrical Engineering / Issue 5/2023
Print ISSN: 0948-7921
Electronic ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-023-01836-0

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