Modbus TCP/IP in PLC Programming - Time & Space Complexity

Time Complexity: Modbus TCP/IP

O(n)

Understanding Time Complexity

When working with Modbus TCP/IP in PLC programming, it is important to understand how the time to process requests grows as more data is handled.

We want to know how the execution time changes when reading or writing multiple registers over the network.

Scenario Under Consideration

Analyze the time complexity of the following Modbus TCP/IP read operation code snippet.

// Read 10 registers from device
ModbusTCPClient client;
client.Connect("192.168.1.10", 502);
for (int i = 0; i < 10; i++) {
  client.ReadRegister(40001 + i);
}
client.Disconnect();
    

This code connects to a Modbus device and reads 10 consecutive registers one by one.

Identify Repeating Operations

Look for loops or repeated calls that affect execution time.

• Primary operation: The loop calling ReadRegister 10 times.
• How many times: Once per register, so 10 times in this example.

How Execution Grows With Input

Each register read requires a separate network request, so the total time grows with the number of registers.

Input Size (n)	Approx. Operations
10	10 network read calls
100	100 network read calls
1000	1000 network read calls

Pattern observation: The time grows directly in proportion to the number of registers read.

Final Time Complexity

Time Complexity: O(n)

This means the time to complete the reads grows linearly as you increase the number of registers.

Common Mistake

[X] Wrong: "Reading multiple registers one by one is as fast as reading them all at once."

[OK] Correct: Each read sends a separate request over the network, adding delay each time. Reading registers individually takes more time than a single bulk read.

Interview Connect

Understanding how network calls scale with data size is a valuable skill. It shows you can reason about performance in real automation systems.

Self-Check

What if we changed the code to read all registers in one bulk request? How would the time complexity change?

Practice

1. What is the main purpose of Modbus TCP/IP in PLC programming?

easy

A. To convert analog signals to digital

B. To program PLCs using ladder logic

C. To allow devices to communicate over Ethernet using simple commands

D. To create graphical user interfaces for PLCs

Solution

1. Step 1: Understand Modbus TCP/IP function

   Modbus TCP/IP is a communication protocol that enables devices to exchange data over Ethernet networks.

2. Step 2: Identify the main use

   It uses simple commands to read and write data between devices, facilitating communication.

3. Final Answer:

   To allow devices to communicate over Ethernet using simple commands -> Option C

4. Quick Check:

   Modbus TCP/IP = Ethernet communication protocol [OK]

Hint: Modbus TCP/IP is about device communication over Ethernet [OK]

Common Mistakes:

• Confusing Modbus TCP/IP with PLC programming languages
• Thinking it converts signals instead of communicating data
• Assuming it creates user interfaces

2. Which of the following is the correct syntax to read holding registers using Modbus TCP/IP function code in a PLC script?

easy

A. ReadHoldingRegisters(address, quantity)

B. WriteCoils(address, quantity)

C. ReadInputStatus(address, quantity)

D. WriteHoldingRegisters(address, quantity)

Solution

1. Step 1: Identify function codes for reading registers

   Modbus function code 03 reads holding registers, typically called ReadHoldingRegisters.

2. Step 2: Match syntax to function

   ReadHoldingRegisters(address, quantity) correctly represents reading holding registers by specifying start address and number of registers.

3. Final Answer:

   ReadHoldingRegisters(address, quantity) -> Option A

4. Quick Check:

   Read holding registers = ReadHoldingRegisters() [OK]

Hint: Read holding registers uses ReadHoldingRegisters() function [OK]

Common Mistakes:

• Using Write functions instead of Read
• Confusing coils with registers
• Using incorrect function names

3. Given the following PLC script snippet using Modbus TCP/IP:

response = ReadCoils(10, 5)
print(response)

What is the expected output if coils 10 to 14 are ON, OFF, ON, OFF, ON respectively?

medium

A. [1, 0, 1, 0, 1]

B. Error: Invalid function

C. [ON, OFF, ON, OFF, ON]

D. [True, False, True, False, True]

Solution

1. Step 1: Understand ReadCoils function output

   ReadCoils returns a list of boolean values representing coil states: True for ON, False for OFF.

2. Step 2: Map coil states to boolean list

   Coils 10 to 14 states ON, OFF, ON, OFF, ON map to [True, False, True, False, True].

3. Final Answer:

   [True, False, True, False, True] -> Option D

4. Quick Check:

   Coil states as booleans = [True, False, True, False, True] [OK]

Hint: ReadCoils returns booleans True/False, not strings or numbers [OK]

Common Mistakes:

• Expecting numeric 1/0 instead of True/False
• Using string 'ON'/'OFF' instead of booleans
• Assuming function returns error

4. A PLC script using Modbus TCP/IP to write to coils is:

WriteCoils(5, [True, False, True])

Which of the following correctly describes the WriteCoils function?

medium

A. The function WriteCoils requires a starting address and a list of boolean values

B. The list should contain integers 1 and 0 instead of booleans

C. The function WriteCoils only writes single coil, not multiple

D. The address 5 is out of range for coils

Solution

1. Step 1: Check WriteCoils function parameters

   WriteCoils expects a starting address and a list of boolean values to write multiple coils.

2. Step 2: Verify parameter usage

   The given call correctly provides the starting address and list of boolean values.

3. Step 3: Analyze options

   The accurate statement is that the function requires a starting address and a list of boolean values. Other statements are incorrect: address range is not specified as invalid, booleans are appropriate (not integers), and the function supports multiple coils.

4. Final Answer:

   The function WriteCoils requires a starting address and a list of boolean values -> Option A

5. Quick Check:

   WriteCoils(address, bool list) is correct syntax [OK]

Hint: WriteCoils needs address plus boolean list, not integers [OK]

Common Mistakes:

• Using integers instead of booleans
• Assuming WriteCoils writes only one coil
• Ignoring address range validity

5. You want to read 10 holding registers starting at address 100 and write the sum of their values to register 200 using Modbus TCP/IP in a PLC script. Which approach correctly combines reading, summing, and writing?

hard

A. values = ReadCoils(100, 10)
sum_val = sum(values)
WriteHoldingRegisters(200, sum_val)

B. values = ReadHoldingRegisters(100, 10)
sum_val = sum(values)
WriteHoldingRegisters(200, [sum_val])

C. values = ReadHoldingRegisters(100, 10)
sum_val = sum(values)
WriteCoils(200, sum_val)

D. values = ReadHoldingRegisters(100, 10)
sum_val = sum(values)
WriteHoldingRegisters(200, sum_val[0])

Solution

1. Step 1: Read holding registers correctly

   Use ReadHoldingRegisters(100, 10) to get 10 registers starting at 100.

2. Step 2: Sum the values and write properly

   Sum the list with sum(values), then write the sum as a list [sum_val] to register 200 using WriteHoldingRegisters.

3. Step 3: Check other options for errors

   values = ReadCoils(100, 10)
   sum_val = sum(values)
   WriteHoldingRegisters(200, sum_val)

   reads coils instead of registers;

   values = ReadHoldingRegisters(100, 10)
   sum_val = sum(values)
   WriteCoils(200, sum_val)

   writes to coils instead of registers;

   values = ReadHoldingRegisters(100, 10)
   sum_val = sum(values)
   WriteHoldingRegisters(200, sum_val[0])

   incorrectly indexes sum_val which is an int, causing error.

4. Final Answer:

   values = ReadHoldingRegisters(100, 10) sum_val = sum(values) WriteHoldingRegisters(200, [sum_val]) -> Option B

5. Quick Check:

   Read registers, sum list, write list with sum [OK]

Hint: Read registers, sum list, write sum as single-item list [OK]

Common Mistakes:

• Reading coils instead of registers
• Writing to coils instead of registers
• Passing integer instead of list to WriteHoldingRegisters