fopid based coordinated control strategies for dg units in

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JOURNAL OF RESOURCE MANAGEMENT AND TECHNOLOGY ISSN NO: 0745-6999 Vol12, Issue3, 2021 Page No:223 FOPID Based Coordinated Control Strategies for DG units in an Unbalanced Micro-grid 1 B Janardhana Reddy, UG Student, Department of EEE, Pragati Engineering college, Surampalem [email protected] 2 K Satyanandham, UG Student, Department of EEE, Pragati Engineering college, Surampalem [email protected] 3 Bakki Chandra Vamsi, UG Student, Department of EEE, Pragati Engineering college, Surampalem [email protected] 4 Chitikina Gowrinath, UG Student, Department of EEE, Pragati Engineering college, Surampalem [email protected] 5 Katta Manoj Kumar, UG Student, Department of EEE, Pragati Engineering college, Surampalem [email protected] AbstractThis paper presents the positive sequence, negative sequence and zero sequence voltage and current control schemes in dq-frame for the Voltage Source Converter (VSC) based Distributed Generation (DG) units in order to compensate for voltage unbalance in a microgrid. The objective of these schemes is to control the positive, negative and zero sequence components (separately and independently) of the voltage at the Point of Common Coupling (PCC) and the VSC currents to their respective reference commands. Dynamically varying limits have been proposed for the positive and negative sequence references for the current control schemes in order to protect the VSC from overloading (under unbalanced conditions) and unsymmetrical faults. The active power control, frequency control and the reactive powervoltage droop control schemes decide the references of the positive sequence voltage control scheme in order to fulfill the objective of using the same control schemes for the grid connected and the islanded modes of operation of the microgrid, thereby eliminating the need for islanding detection. The performance of the various control schemes employed for controlling the VSC based DG unit have been tested on two identical VSC based DG units feeding power to the IEEE 34 node distribution network implemented in PSCAD/EMTDC. I. INTRODUCTION MOST of the renewable energy sources (like PV, FC, etc) generate DC power, and most of the storage systems (like Battery, Super- capacitor, etc) handle energy in the form of DC. These energy sources and storage systems need to be interfaced with the AC Microgrid through Voltage Source Converters (VSC). AC Microgrids are usually low voltage distribution networks with Distributed Generation (DG) units supplying power to the local loads [1] (which are inherently unbalanced). Thus the VSCs will be supplying unbalanced currents for most of the time and therefore a proper control scheme needs to be chosen for the VSC so that the performance of the VSC doesn’t get drastically affected. Another challenge involving the control of VSCs is in the control schemes for the Grid Connected and the Islanded modes of operation. When the microgrid is in the Grid connected mode of operation, the voltage and frequency of the microgrid will be imposed by the Main Grid, but when the microgrid is in the Standalone or Islanded mode of operation, the VSCs need to set the voltage and frequency of the microgrid. Therefore researchers initially proposed the idea of separate control schemes for VSCs operating in the Grid connected and the

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JOURNAL OF RESOURCE

MANAGEMENT AND TECHNOLOGY

ISSN NO: 0745-6999

Vol12, Issue3, 2021

Page No:223

FOPID Based Coordinated Control Strategies for DG units in an Unbalanced Micro-grid

1B Janardhana Reddy, UG Student, Department of EEE, Pragati Engineering college, Surampalem

[email protected]

2K Satyanandham, UG Student, Department of EEE, Pragati Engineering college, Surampalem

[email protected]

3Bakki Chandra Vamsi, UG Student, Department of EEE, Pragati Engineering college, Surampalem

[email protected]

4Chitikina Gowrinath, UG Student, Department of EEE, Pragati Engineering college, Surampalem

[email protected]

5Katta Manoj Kumar, UG Student, Department of EEE, Pragati Engineering college, Surampalem

[email protected]

Abstract— This paper presents the positive

sequence, negative sequence and zero

sequence voltage and current control

schemes in dq-frame for the Voltage Source

Converter (VSC) based Distributed

Generation (DG) units in order to

compensate for voltage unbalance in a

microgrid. The objective of these schemes is

to control the positive, negative and zero

sequence components (separately and

independently) of the voltage at the Point of

Common Coupling (PCC) and the VSC

currents to their respective reference

commands. Dynamically varying limits have

been proposed for the positive and negative

sequence references for the current control

schemes in order to protect the VSC from

overloading (under unbalanced conditions)

and unsymmetrical faults. The active power

control, frequency control and the reactive

power–voltage droop control schemes

decide the references of the positive

sequence voltage control scheme in order to

fulfill the objective of using the same

control schemes for the grid connected and

the islanded modes of operation of the

microgrid, thereby eliminating the need for

islanding detection. The performance of the

various control schemes employed for

controlling the VSC based DG unit have

been tested on two identical VSC based DG

units feeding power to the IEEE 34 node

distribution network implemented in

PSCAD/EMTDC.

I. INTRODUCTION

MOST of the renewable energy sources (like

PV, FC, etc) generate DC power, and most

of the storage systems (like Battery, Super-

capacitor, etc) handle energy in the form of

DC. These energy sources and storage

systems need to be interfaced with the AC

Microgrid through Voltage Source

Converters (VSC). AC Microgrids are

usually low voltage distribution networks

with Distributed Generation (DG) units

supplying power to the local loads [1]

(which are inherently unbalanced). Thus the

VSCs will be supplying unbalanced currents

for most of the time and therefore a proper

control scheme needs to be chosen for the

VSC so that the performance of the VSC

doesn’t get drastically affected. Another

challenge involving the control of VSCs is

in the control schemes for the Grid

Connected and the Islanded modes of

operation. When the microgrid is in the Grid

connected mode of operation, the voltage

and frequency of the microgrid will be

imposed by the Main Grid, but when the

microgrid is in the Standalone or Islanded

mode of operation, the VSCs need to set the

voltage and frequency of the microgrid.

Therefore researchers initially proposed the

idea of separate control schemes for VSCs

operating in the Grid connected and the

JOURNAL OF RESOURCE

MANAGEMENT AND TECHNOLOGY

ISSN NO: 0745-6999

Vol12, Issue3, 2021

Page No:224

islanded modes of operation [2]. The same

concept was extended in [3] in order to deal

with unbalanced loads. However, a

transition from the grid connected mode to

the islanded mode of operation and vice

versa will result in forced switching between

two sets of controllers, which will clearly

indicate the need for a fast and a reliable

islanding detection. Islanding detection

continues to be an area of research as there

is no method that is absolutely conclusive.

Therefore researchers began to propose the

idea of a unified control scheme which will

be valid for both the Grid connected

structure proposed in [4] aims to control the

VSC as a synchronous machine with an

assumed virtual inertia constant (H) and a

virtual damping constant (KD). However

grid faults will cause damage to the VSC

switches due to over currents. Reference [5]

expanded upon the ideas presented in [6]

and [7] and proposed a control scheme that

is valid for both the grid connected and the

islanded modes of operation thereby

eliminating the need for islanding detection.

However the Grid connected and the

Islanded modes of operation have been

considered separately and the positive and

negative sequence components of the

voltages and currents in the results have not

been explicitly presented. The control

schemes proposed in [6], [7] and [11] are

robust as long as the system is balanced, but

under unbalanced loading conditions, the

voltage at the Point of Common Coupling

(PCC) becomes severely unbalanced and

distorted; thereby the performance of the

VSC gets deteriorated. In order to overcome

this problem, in references [12] – [14]

suitable modifications have been proposed

to the control schemes presented in [6], [7]

and [11] so that the voltage at the PCC is

balanced irrespective of the unbalance in the

load. However the presence of Zero

Sequence Components have not been

considered due to the fact that delta

connected transformer windings were

considered in [12] and delta connected loads

were considered in [13]. While in [14], the

researchers have used separate control

schemes for the grid connected and the

islanded modes of operation. In references

[15], [16], [17], [18], [25], [26], [27] and

[29] voltage unbalance has been

compensated in __-frame (zero sequence

components have been neglected, except in

[25], [26] and have been controlled as

sinusoidal signals), but deciding the limits

for the references of the current control

loops will be a major problem due to the fact

that the signals fed to the controllers are

sinusoidal. The use of a saturation block will

make the reference currents non-sinusoidal

(if the VSC is overloaded) especially during

fault conditions. Therefore the aim of this

paper is to fulfill the following objectives:

To maintain the Line to Ground

Voltages at the PCC of the VSCs

balanced, irrespective of the

unbalance in the load in the

microgrid.

To limit fault currents (especially

unsymmetrical faults) in order to

protect the VSC switches from

getting damaged.

The control scheme should be the

same for both the grid connected as

well as the islanded modes of

operation

There by eliminating the need for

knowing the prevailing mode of

operation of the microgrid.

Zero sequence VSC current and PCC

Voltage control schemes have been

proposed in this paper and have been

implemented along with the improved

versions of the positive and negative

sequence VSC current and PCC Voltage

control schemes (with respect to the control

structures presented in [13]). The

improvements those have been made in the

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MANAGEMENT AND TECHNOLOGY

ISSN NO: 0745-6999

Vol12, Issue3, 2021

Page No:225

positive and the negative sequence VSC

current and PCC Voltage control schemes

are, that the variation in frequency has been

considered in the feed forward terms and

dynamically varying limits have been

considered in both the PCC voltage and the

VSC current control structures thereby

resulting in an improved transient

performance. Therefore the positive,

negative and zero sequence components of

the VSC current and the PCC Voltage will

be controlled separately and independently.

Dynamically varying limits have been

proposed for the positive and negative

sequence references of the VSC current

control schemes in order to protect the VSC

from overloading under unbalanced

conditions and unsymmetrical faults. The

Active Power Control, Frequency Control

and the Reactive Power–Voltage droop

control schemes presented in [5] will decide

the references for the positive sequence

voltage control scheme, while the references

of the Negative and Zero Sequence PCC

Voltage control schemes have been set at ‘0’

in order to fulfill the objective of

maintaining the voltage at the PCC balanced

at all times. The effectiveness of the control

schemes have been tested on two VSC based

DG units (shown in Fig. 1(a)) feeding power

to the modified IEEE 34 node distribution

network (shown in Fig. 1(b)). The rest of the

paper is organized as follows. In Section II,

a description of a VSC based DG unit with

PV array and the Battery Energy Storage

System (BESS) has been presented. In

Section III, the various control schemes for

controlling the VSC and the Buck-Boost

converters have been presented. In Section

IV, the simulation results have been

presented in order to demonstrate the

effectiveness of the control schemes

presented in this paper. Section V concludes

the paper.

II. SYSTEM DESCRIPTION

Fig. 1(a) shows the schematic diagram of a

VSC based DG unit. A three phase three

level Neutral Point Clamped (NPC)

converter acts as a VSC and is connected to

the microgrid through a three phase LC filter

and a three phase coupling transformer

(Both the primary and secondary windings

of the coupling transformer are Y-connected

and the neutral point is grounded). Two

BESS banks (represented by the Thevenin’s

equivalent model which is slightly different

from the model presented in [19]) are

connected in parallel to the DC link

capacitors (C1 and C2). Two identical PV

arrays (represented by the Norton’s

equivalent model [20], [21]) are connected

to the DC link capacitors (C1 and C2)

through two Buck boost converters. The

Buck-boost converters operate in such a

manner that the PV arrays always deliver

power at the Maximum Power Point (MPP).

The VSC supplies power to the microgrid

according to the reference command (when

the microgrid is in the grid connected mode

of operation) or according to the load

demand (when the microgrid is in the

islanded mode of operation). The BESS

banks take care of

the mismatch between the power generated

by the PV array and the power supplied by

the VSC (The BESS banks will either get

charged or discharged depending on the

direction of flow of current through the

BESS banks). Two identical VSC based DG

units are connected at nodes ‘850’ and ‘832’

of the modified IEEE 34 node distribution

network shown in Fig. 1(b). Fig. 1(c) shows

the representation of the improved version

of the SRF–PLL [9], [10] and the objective

of this PLL is to synchronize the dq-frame

with the positive sequence component of the

voltage at the PCC (that is the converter side

of the coupling transformer as shown in Fig.

1(a)).

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III. CONTROL STRATEGY

This paper mainly focuses on improvement

of non-linear power damping controller to

integrate VSC’s to weak grids. Fig.1 shows

the grid connected VSC supplying a local

load. It has linear power-damping/

synchronizing controller and non-linear

power damping controller. Fig.3 shows the

linear control structure. Fig.4 shows non-

linear control structure.

Also, it has a voltage amplitude controller

which provides specific control depending

on type of bus. It provides different control

strategy for output voltage to PV and PQ

bus. It is shown in Fig.6. The angle and

frequency loops provide synchronizing and

damping power components for the VSC to

track frequency and angle deviations of the

grid and automatically synchronizes with

grid.

Depending on the frequency error only the

reference of the load angle is found and the

real power reference is obtained as the

function of load angle error. The reference

frequency (ωset) in the frequency loop is set

equal to the grid frequency and the VSC

gives the reference power (Pset) in steady

state conditions. The transferred real power

is given by

𝑃 =𝐸

𝑅2+𝑋2(𝑋𝑉𝐿𝑠𝑖𝑛𝛿 + 𝑅(𝐸 − 𝑉𝐿𝑐𝑜𝑠𝛿)).

(1)

SCR defines the strength of the connecting

line as

SCR = 𝑠ℎ𝑜𝑟𝑡 𝑐𝑖𝑟𝑐𝑢𝑖𝑡 𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑦

𝑟𝑎𝑡𝑒𝑑 𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑦 (2)

Where short circuit capacity(Ssc) is given by

𝑆𝑆𝐶 =𝐸0

2

𝑍 (3)

Where, Z is the circuit equivalent Thevenin

impedance. This implies that the weaker the

grid, the lower the power transfer capacity

of the line. In aweak grid with, the

theoretical maximum power transfer

capacity is 1.0 p.u.

The power-damping control law for a VSC

is proposed as

𝑑𝛥𝜔

𝑑𝑡 =-KpKf Kd (ω-ωset) - KpKf δ - Kp (P-

Pset). (4)

The damping and synchronization power

components are

Damping power = 𝛥 Pdamp = - Kf Kd 𝛥𝛚. (5)

Synchronizing power = 𝛥 Psynch = - Kd 𝛥δ.

(6)

It is important to take into account that the

VSC’s frequency and angle are internally

available; therefore, there is no need for a

PLL in steady-state operation and several

transient conditions.

Fig.3. Linear control scheme.

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Fig.4. Non-linear supplementary

control structure.

IV. SYSTEM MODELING

To evaluate system dynamic performance in

a weak grid, a small-signal stability analysis

of a grid-connected VSC is presented in this

section. The three-phase power system

involves a converter and its controller, RL

filter, connecting line and infinite grid.

Assuming an ideal VSC, the VSC local

voltage is equal to the controller command,

thus it is possible to model the VSC and

PWM block by an average voltage

approach. The system parameters are given

in Table I. The augmented model of the

VSC and its controller can be developed as

follows. First, the load angle dynamic

equation is given by

𝛥�̇� = 𝛥𝑤 (7)

The frequency dynamic equation is

expressed by (4) where is given by

𝛥𝑃 =𝜕𝑃

𝜕𝛿𝛥𝛿 +

𝜕𝑃

𝜕𝐸𝐹𝛥𝐸𝐹 (8)

Fig.5. Control topologies for output voltage

control. (a) P-V bus control. (b) P-Q bus

control strategy.

The voltage loop dynamic equation is given

by

𝛥�̇� = −𝑤𝑣̇ 𝛥𝐸 + 𝑤𝑣𝛥𝑣 − 𝑤𝑣𝐾𝑣 𝛥𝐸𝐹 (9)

𝛥�̇� = −𝐾𝑣𝑖𝛥𝐸𝐹 (10)

Where 𝑣 is the output of the integrator 𝐾𝑣𝑖 ,

and 𝐸𝐹 is the filter voltage amplitude

expressed by

𝛥𝐸𝐹 =𝐸𝐹𝑑0𝛥𝐸𝐹𝑑+𝐸𝐹𝑞0𝛥𝐸𝐹𝑞

𝐸𝐹0𝜋𝑟2 (11)

𝛥𝐸𝐹𝑑 = 𝐿𝑐𝑑𝛥𝑖𝑑

𝑑𝑡+ 𝑅𝑐𝛥𝑖𝑑 − 𝑤0𝐿𝑐𝛥𝑖𝑞 (12)

JOURNAL OF RESOURCE

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𝛥𝐸𝐹𝑞 = 𝐿𝑐𝑑𝛥𝑖𝑞

𝑑𝑡+ 𝑅𝑐𝛥𝑖𝑑 + 𝑤0𝐿𝑐𝛥𝑖𝑑 (13)

The currents dynamics in the dq reference-

frame are given by

𝑑𝛥𝑖𝑑

𝑑𝑡=

1

𝐿(−𝐸0𝑠𝑖𝑛𝛿0𝛥𝛿 + 𝛥𝐸 𝑐𝑜𝑠𝛿0

− 𝑅 𝛥𝑖𝑑 + 𝑤0𝐿𝑐𝛥𝑖𝑞) (14)

𝑑𝛥𝑖𝑞

𝑑𝑡=

1

𝐿(−𝐸0𝑐𝑜𝑠𝛿0𝛥𝛿 + 𝛥𝐸 𝑠𝑖𝑛𝛿0

− 𝑅 𝛥𝑖𝑞 − 𝑤0𝐿𝑐𝛥𝑖𝑑) (15)

The overall system model is

𝑥1̇ = 𝑥2 (16)

𝑥2̇ = 𝑎1𝑥1 + 𝑎2𝑥2 + 𝑎3𝑥3 (17)

𝑥3̇ = 𝑢𝑓 + 𝐸𝑉𝐿

𝑋𝑥2 𝑐𝑜𝑠𝑥1 − 𝑤𝑣𝑥3 (18)

Where 𝑎1= -Kp Kd , 𝑎2 = -KpKf Kd and 𝑎3 = -

Kp , and

[𝑥1, 𝑥2 , 𝑥3] = [𝛥δ , 𝛥𝛚 , 𝛥P] . 𝑢𝑓 is defined

as

𝑢𝑓 = (u𝛚c VL sin 𝑥1 )/X , where u is the

control input.

The control objective is to ensure the

convergence of the error ei = xi - xiref to zero.

The first step is to stabilize δ, thus the

Lyapunov function

𝑉1 =1

2𝑥1

2 (19)

is defined and the reference of frequency

deviation value and 𝑉1̇ are given by

𝑥2𝑟𝑒𝑓 = −𝐾1𝑥1 𝐾1 > 0 (20)

𝑉1̇ = −𝐾1𝑥12 + 𝑥1𝑒2. (21)

In the next step, the Lyapunov function is

defined as V2 = V1 + 1/2𝑒22 and 𝑥3𝑟𝑒𝑓 is

chosen to stabilize V1 and V2

𝑥3𝑟𝑒𝑓 = 𝑐1𝑥1 + 𝑐2𝑒2 (22)

Where 𝐶1 =(1−𝑘1(−𝑎2+𝑘1)+𝑎1)

𝑎3 (23)

𝐶2 = −(𝑘1+𝑘2+𝑎2)

𝑎3, 𝑘2 > 0 (24)

Finally, by defining

𝑉3 = 𝑉2 +1

2𝑒3

2 (25)

TABLE I

CONTROLLER PARAMETERS

and following the approach presented and ,

it can be shown that the stability of the

overall system is confirmed if

𝑢𝑓 = (𝐴 + 𝑘1𝐸𝑉𝐿

𝑋𝑐𝑜𝑠𝑥1) 𝑥1 +

(𝐵 +𝐸𝑉𝐿

𝑋𝑐𝑜𝑠𝑥1 − 𝑎3) 𝑒2 + (𝐶 −

𝑘3)𝑒3 𝑘3 > 0 (26)

Where

𝐴 = 𝐾𝑓 − 𝑘12𝐾𝑓 + 𝑘1𝐾𝑑𝐾𝑓 − 2𝑘1𝐾𝑝 +

𝑘13

𝐾𝑝−

𝑘2

𝐾𝑝 (27)

𝐵 = (𝑘1 + 𝑘2 − 𝐾𝑑)𝐾𝑓 +1−𝑘1

2−𝑘22−𝑘1𝑘2

𝐾𝑝 (28)

IV. SIMULATION RESULTS

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The modified IEEE 34 node distribution

network (which is acting as a microgrid)

shown in Fig. 1(b) with two identical VSC

based DG units feeding power to the

network has been implemented in

MATLAB/SIMULINK. The modification

that has been done is that the voltage

regulators originally present in the network

[8] have been removed for the purpose of

studying the capability of the VSCs in

improving the voltage profile of the feeder

in the absence of voltage regulators. The

data of the IEEE 34 node distribution

network is available in [8] and the

parameters of the DG units and the

compensators have been mentioned in

Tables I and II respectively. The rated

capacity of the PV array in each DG unit is

2300 kW at STC, and the reference

command for the Active Power Control loop

of both the VSCs is 1150 kW. A. Transition

from the Grid Connected mode of Operation

to the Islanded mode of Operation: The

microgrid was operating in the Grid

Connected mode of operation. The PV

arrays of both the DG units were operating

at the Maximum Power Point (MPP) at STC

and were generating 2300 kW each. Both

the VSCs were supplying 1150 kW to the

microgrid (VSC-1 was supplying around

200 kVAR and VSC-2 was supplying

around 320 kVAR to the microgrid). The

microgrid was supplying around 450 kW

and 150 kVAR to the main grid as shown in

Fig. 5b (due to the fact that the power

supplied by the VSCs to the microgrid is

more than the power consumed by the load

in the microgrid). Suddenly at t=0.75s, the

circuit breaker ‘BRK’ has been opened.

Based on the results presented in Fig. 5a, 5b

and 5c, it is clear that the microgrid is no

longer synchronized with

(a) Mode Selection from Grid to

Islanding Condition

(a) Mode Selection from Grid to

Islanding Condition

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Fig. 5: Transition from the Grid Connected

mode of Operation to the Islanded mode of

Operation.

Based on the results presented in Fig. 5, it is

clear that the controllers were able to control

the voltage and frequency of the VSCs (and

ultimately the microgrid) within the nominal

operating range, therefore the microgrid has

come to a steady operating point without

any large excursions in the voltage and

frequency (Fig. 5d and 5e shows that there is

a temporary overvoltage for a very short

duration and the voltages immediately come

to steady state). Since the Active Power

supplied by both the VSCs now is less than

the reference command of 1150 kW (which

can be observed in Fig. 5i for VSC-1; not

shown for VSC-2 due to brevity), the P-I

controllers of the Active Power control

loops of both the VSCs have now become

saturated and the droop control schemes

have taken charge in deciding the frequency

of both the VSCs (which ultimately will

decide the frequency of the microgrid). Fig.

5f shows the variation in the frequency of

VSC-1 (The variation in the frequency of

VSC-2 is similar to that of the frequency of

VSC-1 which hasn’t been shown due to

brevity). From Fig. 5h it is clear that the

BESS has taken care of the difference

between the power generated by the PV

array and the power supplied by the VSC

(the results have been shown for VSC-1).

The same observation is true of VSC-2 as

well (which hasn’t been shown due to

brevity). Fig. 5g shows the Line currents

supplied by VSC-1.

B. Islanded mode of operation–Response to

Sudden Change in Load:

The microgrid was operating in the Islanded

mode of operation. Suddenly at t=1.0s, the

load has been changed as follows and

restored to the original loading condition at

t=1.5s:

The load between Phase ‘b’ and ‘n’

and Phase ‘c’ and ‘n’ have been

temporarily switched off for the Y-

connected spot load at node – 844.

All the Y-connected distributed loads

between Phase ‘b’ and ‘n’ and Phase

‘c’ and ‘n’ have been temporarily

switched off.

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The Y-connected distributed load

between nodes – 820 and 822,

connected between Phase ‘a’ and ‘n’

has been temporarily doubled.

All the delta-connected distributed

loads between Phases ‘b’ and ‘c’

have been temporarily switched off.

1) Zero Sequence VSC Current Control

and PCC Voltage Control are

disabled [13]: From Fig. 6d it can be

clearly understood that the Line to

Neutral voltages at the PCC are

severely unbalanced, while the Line

to Line Voltages (shown in Fig. 6e)

are balanced which clearly indicates

that the Negative sequence

components are absent and the Zero

Sequence Components are present.

Therefore, the Y-connected loads

will experience severe voltage

unbalance; clearly indicating the

need for zero sequence voltage

compensation. Since the Line to

Neutral voltages at the PCC is

unbalanced, the Line to Neutral

voltages at node – 862 (one of the far

ends of the feeder) that are shown in

Fig. 6a will be much more severely

unbalanced due to the fact that the

voltage drops across the feeders are

unbalanced due to unbalanced

currents flowing in the feeders.

Fig. 7: Islanded mode of operation–

Response to Sudden Change in Load (Zero

Sequence VSC Current Control and PCC

Voltage Control is Enabled).

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However, the severity of unbalance in the

Line to Line voltage is much lesser (shown

in Fig. 6b) due to the fact that the Zero

Sequence components will be absent in the

Line to Line Voltages. Fig. 6f show the

variations in the Active and Reactive Power

supplied by VSC-1 to the microgrid. Fig. 6c

shows the variation in the currents supplied

by VSC-1. Results have been presented only

for the reduction in load (and have not been

shown for the restoration of the load) due to

brevity. 2) Zero Sequence VSC Current

Control and PCC Voltage Control are

enabled: Fig. 7c clearly indicates that the

phase voltages at the PCC is balanced,

which clearly indicates the absence of both

negative and zero sequence components.

The Voltage at node – 862 (one of the far

ends of the feeder) that are shown in Fig. 7a

and 7b will be slightly unbalanced due to the

fact that the voltage drops across the feeders

are unbalanced due to unbalanced currents

flowing in the feeders. It can be observed

that the severity of the unbalance in the

phase voltages has been reduced

significantly. Fig. 7d shows the variation in

the currents supplied by VSC-1. Fig. 7e and

7f respectively show the variations in the

Frequency of VSC-1 and the Active and

Reactive Power supplied by VSC-1 to the

microgrid.

C. Islanded mode of operation–Response to

Single Line to Ground Fault:

The microgrid was operating in the Islanded

mode of operation. Suddenly at t=1.0s, a

temporary single line to ground fault has

occurred at node – 830 for a duration of

0.12s (shown in Fig. 8a).

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Fig. 8: Islanded mode of operation–

Response to Single Line to Ground Fault.

(a)

(b)

(c)

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Vsc Current

Voltage

Frequency

VSC Active & Reactive Powers

Fig. 9: Transition from the Islanded mode of

Operation to the Grid Connected mode of

Operation.

The result in Fig. 8c clearly indicates that

the fault current has been limited to less than

1.5 pu which clearly indicates the advantage

of using dynamically varying limits for the

references of the positive and negative

sequence current control loops (The PCC

Voltage Controllers were saturated during

the fault, which can be inferred from Fig.

8g, 8h, 8i, 8j, 8k and 8l for VSC-1). The

current controllers were capable to

controlling the currents to the reference

commands as shown in Fig. 8m, 8n, 8o, 8p,

8q and 8r for VSC-1. During the transient

period, there will be a peak overshoot due to

the fact that the closed loop current control

is not a first order system (It is a Third order

system). After the fault was cleared, the

results (shown in Fig. 8g, 8h, 8i, 8j, 8k and

8l for VSC-1) clearly show that the PCC

Voltage controllers were capable of

regulating the voltages to the reference

commands (Fig. 8b shows the PCC voltage

at VSC-1 in abc frame). From Fig. 8d it is

clear that the PV array still operates at MPP

even during the fault condition. Since the

VSC effectively doesn’t supply power to the

microgrid during the fault, all the power

generated by the PV array flows into the

BESS (the results have been shown for

VSC-1). Fig. 8e and 8f respectively show

the ratio of the Negative and Zero Sequence

components of the Line current of VSC-1

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with respect to the Positive Sequence

component.

D. Transition from the Islanded mode of

Operation to the Grid Connected mode of

Operation (Re-synchronization with the

grid):

The microgrid was operating in the Islanded

mode of operation (After a Black Start was

performed). Between t=0.32s to t=0.36s it is

clear that there is a significant phase

difference between the voltage at node ‘800’

and the grid voltage (as shown in Fig. 9d)

and therefore the microgrid cannot be

synchronized at this instant. At t=0.7s the

phase difference between the microgrid and

the main grid is negligible (as shown in Fig.

9e) and therefore the microgrid has been

synchronized to the main grid at this instant

(By the closing of circuit breaker ‘BRK’)

which can be clearly observed in Fig. 9a, 9b,

9c and 9e. The Active Power Controllers of

both the VSCs now come out of saturation

and regulate the frequency of VSCs in such

a manner that the Active Power supplied by

the VSCs to the microgrid now follows the

reference command of 1150 kW. At steady

state, the frequency of the VSCs will now

match with the frequency of the Grid which

clearly indicates a perfect synchronization

(The frequency of VSC-1 has been shown in

Fig. 9h). The microgrid is now supplying

around 450 kW and 150 kVAR to the main

grid at steady state as shown in Fig. 9b (due

to the fact that the power supplied by the

VSCs to the microgrid is more than the

power consumed by the load in the

microgrid). Fig. 9f, 9g and 9j respectively

show the positive sequence component of

the voltage at the PCC of VSC-1; the line to

neutral voltages at the PCC of VSC-1 in

abc-frame and the Line currents supplied by

VSC-1. From Fig. 9l it is clear that the

BESS has taken care of the difference

between the power generated by the PV

array and the power supplied by the VSC

(the results have been shown for VSC-1).

Fig. 9i and 9k respectively show the DC Bus

Voltage of VSC-1 and the Active and

Reactive Power supplied by VSC-1 to the

microgrid.

V. CONCLUSION

In this paper, a new control topology

is presented to enable effective integration

of VSCs to modified IEEE34 Bus system. in

grid restoration scenarios, any large

mismatch between Microgrid and Main grid

parameters are poor performance and even

instability. These cases are considered as

large-signal disturbances, thus the proposed

FOPID based coordinated controller can

enhance system performance in these cases.

Moreover, the controller is able to work in

very grid failure and restore conditions.

Dynamically varying limits have been

proposed for the current control scheme

which has played a significant role in

reducing the fault current to less than 1.5 pu.

The VSC current control and PCC voltage

control schemes were able to control the

PCC voltage and VSC current to the

respective reference commands

satisfactorily in the grid failure as well as the

restore of operation, thereby enabling the

VSC based DG unit to deal with unbalanced

conditions. The FOPID controller gives the

better performance. Due to FOPID

controller better response is obtained even

under unbalanced Conditions. The

compensation results and reliability, control

schemes of the proposed system is designed

and carried out in MATLAB/SIMULINK.

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