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Table 5 Optimal controller gains in test system-3 with and without considering CTDs

From: Impact of communication time delays on combined LFC and AVR of a multi-area hybrid system with IPFC-RFBs coordinated control strategy

Controller

Without Considering CTDs

with Considering CTDs

Area-1

Area-2

Area-1

Area-2

Loop LFC

Loop AVR

Loop LFC

Loop AVR

Loop LFC

Loop AVR

Loop LFC

Loop AVR

DE: PID

KP = 3.0963

KP = 2.1076

KP = 3.4047

KP = 1.9587

KP = 3.4632

KP = 2.0209

KP = 3.7258

KP = 1.7819

KI = 2.9147

KI = 1.6913

KI = 2.6738

KI = 1.6627

KI = 2.7610

KI = 1.6914

KI = 2.3726

KI = 1.6733

KD = 1.2009

KD = 0.9126

KD = 1.9844

KD = 0.9852

KD = 1.6035

KD = 0.7521

KD = 2.0015

KD = 1.1343

AEFA: PID

KP = 3.9752

KP = 2.4194

KP = 3.7805

KP = 2.0357

KP = 4.2938

KP = 2.8621

KP = 3.9990

KP = 3.0986

KI = 2.4588

KI = 1.4389

KI = 2.9595

KI = 1.8419

KI = 2.5841

KI = 1.5276

KI = 2.7256

KI = 1.8667

KD = 1.8030

KD = 0.9209

KD = 1.6575

KD = 0.9304

KD = 2.0137

KD = 1.2961

KD = 1.5786

KD = 1.1048

DE-AEFA: PID

KP = 4.0786

KP = 2.3922

KP = 3.6959

KP = 2.0572

KP = 4.7219

KP = 2.5713

KP = 4.5923

KP = 2.5312

KI = 2.7907

KI = 1.5666

KI = 3.3108

KI = 2.0963

KI = 3.0172

KI = 1.9218

KI = 3.4598

KI = 2.1006

KD = 2.0413

KD = 1.1921

KD = 2.2699

KD = 1.8385

KD = 2.2819

KD = 1.9054

KD = 2.4885

KD = 2.0862